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201444231072 = 25371510719843
BaseRepresentation
bin1011101110011100000…
…0110000011110100000
3201020221222212020002010
42323213000300132200
511300024210343242
6232313040552520
720360655466140
oct2734700603640
9636858766063
10201444231072
11784830203a7
123305b322740
1315cc45b6286
149a6dc28920
15539015489c
hex2ee70307a0

201444231072 has 96 divisors (see below), whose sum is σ = 604403154432. Its totient is φ = 57548784384.

The previous prime is 201444231029. The next prime is 201444231073. The reversal of 201444231072 is 270132444102.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (201444231073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10141983 + ... + 10161825.

It is an arithmetic number, because the mean of its divisors is an integer number (6295866192).

Almost surely, 2201444231072 is an apocalyptic number.

It is an amenable number.

201444231072 is an abundant number, since it is smaller than the sum of its proper divisors (402958923360).

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

201444231072 is a wasteful number, since it uses less digits than its factorization.

201444231072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34970 (or 34962 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 201444231072 its reverse (270132444102), we get a palindrome (471576675174).

The spelling of 201444231072 in words is "two hundred one billion, four hundred forty-four million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 15107 19843 30214 39686 45321 59529 60428 79372 90642 105749 119058 120856 138901 158744 181284 211498 238116 241712 277802 317247 317488 362568 416703 422996 476232 483424 555604 634494 634976 725136 833406 845992 952464 1111208 1268988 1450272 1666812 1691984 1904928 2222416 2537976 3333624 3383968 4444832 5075952 6667248 10151904 13334496 299768201 599536402 899304603 1199072804 1798609206 2098377407 2398145608 3597218412 4196754814 4796291216 6295132221 7194436824 8393509628 9592582432 12590264442 14388873648 16787019256 25180528884 28777747296 33574038512 50361057768 67148077024 100722115536 201444231072