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312044100032 = 26717231781399
BaseRepresentation
bin1001000101001110100…
…01110001100111000000
31002211102220000200222002
410202213101301213000
520103031242200112
6355203500003132
731354513041530
oct4424721614700
91084386020862
10312044100032
11110378839985
1250586b304a8
132356c164212
141116295d4c0
1581b4c411c2
hex48a74719c0

312044100032 has 112 divisors (see below), whose sum is σ = 781877836800. Its totient is φ = 120394002432.

The previous prime is 312044100023. The next prime is 312044100059. The reversal of 312044100032 is 230001440213.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 312044099977 and 312044100013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715532 + ... + 1065867.

Almost surely, 2312044100032 is an apocalyptic number.

312044100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312044100032 is an abundant number, since it is smaller than the sum of its proper divisors (469833736768).

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

312044100032 is a wasteful number, since it uses less digits than its factorization.

312044100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781458 (or 1781448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312044100032 its reverse (230001440213), we get a palindrome (542045540245).

The spelling of 312044100032 in words is "three hundred twelve billion, forty-four million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 136 161 184 224 238 272 322 368 391 448 476 544 644 736 782 952 1088 1288 1472 1564 1904 2576 2737 3128 3808 5152 5474 6256 7616 10304 10948 12512 21896 25024 43792 87584 175168 1781399 3562798 7125596 12469793 14251192 24939586 28502384 30283783 40972177 49879172 57004768 60567566 81944354 99758344 114009536 121135132 163888708 199516688 211986481 242270264 286805239 327777416 399033376 423972962 484540528 573610478 655554832 696527009 798066752 847945924 969081056 1147220956 1311109664 1393054018 1695891848 1938162112 2294441912 2622219328 2786108036 3391783696 4588883824 4875689063 5572216072 6783567392 9177767648 9751378126 11144432144 13567134784 18355535296 19502756252 22288864288 39005512504 44577728576 78011025008 156022050016 312044100032