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4807108870144 = 2147224472
BaseRepresentation
bin100010111110011111000…
…0001000100000000000000
3122000112222200102110110121
41011330332001010000000
51112224424332321034
614120204430110024
71004205432132100
oct105747601040000
918015880373417
104807108870144
1115937576aa759
1265779704b314
1328b4017a9039
14128945881200
158509d41e1b4
hex45f3e044000

4807108870144 has 135 divisors (see below), whose sum is σ = 11188116813783. Its totient is φ = 2059347591168.

The previous prime is 4807108870127. The next prime is 4807108870147. The reversal of 4807108870144 is 4410788017084.

The square root of 4807108870144 is 2192512.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×48071088701443 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4807108870091 and 4807108870100.

It is not an unprimeable number, because it can be changed into a prime (4807108870147) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1964489529 + ... + 1964491975.

Almost surely, 24807108870144 is an apocalyptic number.

4807108870144 is the 2192512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4807108870144

4807108870144 is an abundant number, since it is smaller than the sum of its proper divisors (6381007943639).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4807108870144 is an frugal number, since it uses more digits than its factorization.

4807108870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 52.

The spelling of 4807108870144 in words is "four trillion, eight hundred seven billion, one hundred eight million, eight hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2447 3136 3584 4096 4894 6272 7168 8192 9788 12544 14336 16384 17129 19576 25088 28672 34258 39152 50176 57344 68516 78304 100352 114688 119903 137032 156608 200704 239806 274064 313216 401408 479612 548128 626432 802816 959224 1096256 1252864 1918448 2192512 2505728 3836896 4385024 5011456 5987809 7673792 8770048 10022912 11975618 15347584 17540096 20045824 23951236 30695168 35080192 40091648 41914663 47902472 61390336 70160384 83829326 95804944 122780672 140320768 167658652 191609888 245561344 280641536 293402641 335317304 383219776 491122688 586805282 670634608 766439552 982245376 1173610564 1341269216 1532879104 1964490752 2347221128 2682538432 3065758208 4694442256 5365076864 6131516416 9388884512 10730153728 12263032832 18777769024 21460307456 24526065664 37555538048 42920614912 49052131328 75111076096 85841229824 98104262656 150222152192 171682459648 300444304384 343364919296 600888608768 686729838592 1201777217536 2403554435072 4807108870144