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231256924704 = 253213173633373
BaseRepresentation
bin1101011101011111111…
…1001010001000100000
3211002220200200222102100
43113113333022020200
512242103233042304
6254123222250400
722464522266241
oct3272777121040
9732820628370
10231256924704
118a091561383
123899b586a00
1318a65c199b0
14b29b436cc8
1560375d0439
hex35d7fca220

231256924704 has 144 divisors (see below), whose sum is σ = 749884793112. Its totient is φ = 66970312704.

The previous prime is 231256924693. The next prime is 231256924739. The reversal of 231256924704 is 407429652132.

231256924704 is a `hidden beast` number, since 2 + 3 + 12 + 569 + 2 + 4 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 109860428304 + 121396496400 = 331452^2 + 348420^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 231256924704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1753039 + ... + 1880334.

Almost surely, 2231256924704 is an apocalyptic number.

231256924704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231256924704 is an abundant number, since it is smaller than the sum of its proper divisors (518627868408).

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

231256924704 is a wasteful number, since it uses less digits than its factorization.

231256924704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633419 (or 3633408 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 231256 and 924704, that added together give a triangular number (1155960 = T1520).

The spelling of 231256924704 in words is "two hundred thirty-one billion, two hundred fifty-six million, nine hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 3633373 7266746 10900119 14533492 21800238 29066984 32700357 43600476 47233849 58133968 61767341 65400714 87200952 94467698 116267936 123534682 130801428 141701547 174401904 185302023 188935396 247069364 261602856 283403094 348803808 370604046 377870792 425104641 494138728 523205712 555906069 566806188 741208092 755741584 802975433 850209282 988277456 1046411424 1111812138 1133612376 1482416184 1511483168 1605950866 1700418564 1976554912 2223624276 2267224752 2408926299 2964832368 3211901732 3400837128 4447248552 4534449504 4817852598 5929664736 6423803464 6801674256 7226778897 8894497104 9635705196 12847606928 13603348512 14453557794 17788994208 19271410392 25695213856 28907115588 38542820784 57814231176 77085641568 115628462352 231256924704