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6411744140 = 2251724597669
BaseRepresentation
bin1011111100010101…
…10111001110001100
3121112211211100110012
411332022313032030
5101112401303030
62540121532352
7314613632414
oct57612671614
917484740405
106411744140
1127a02982aa
1212ab3440b8
137b248ca59
1444b78d644
15277d6b095
hex17e2b738c

6411744140 has 48 divisors (see below), whose sum is σ = 14264359200. Its totient is φ = 2412536832.

The previous prime is 6411744137. The next prime is 6411744179. The reversal of 6411744140 is 414471146.

It is a super-2 number, since 2×64117441402 = 82220925833648679200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6411744097 and 6411744106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832226 + ... + 839894.

It is an arithmetic number, because the mean of its divisors is an integer number (297174150).

Almost surely, 26411744140 is an apocalyptic number.

It is an amenable number.

6411744140 is an abundant number, since it is smaller than the sum of its proper divisors (7852615060).

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

6411744140 is a wasteful number, since it uses less digits than its factorization.

6411744140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10154 (or 10152 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 6411744140 is about 80073.3672328072. The cubic root of 6411744140 is about 1857.7704951074.

The spelling of 6411744140 in words is "six billion, four hundred eleven million, seven hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 2459 4918 7669 9836 12295 15338 24590 30676 38345 41803 49180 76690 83606 130373 153380 167212 209015 260746 418030 521492 651865 836060 1303730 2607460 18858071 37716142 75432284 94290355 188580710 320587207 377161420 641174414 1282348828 1602936035 3205872070 6411744140