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104314032020412 = 223231475337523627
BaseRepresentation
bin10111101101111110000000…
…110100101101101110111100
3111200100022202020122202021200
4113231332000310231232330
5102133040114144123122
61005505112120455500
730654303646241364
oct2755760064555674
9450308666582250
10104314032020412
1130268372683725
12b84891231a590
134628a03bb0926
141ba8b7cb039a4
15c0d6a9c945ac
hex5edf80d2dbbc

104314032020412 has 144 divisors (see below), whose sum is σ = 283224741875712. Its totient is φ = 32312344821120.

The previous prime is 104314032020389. The next prime is 104314032020563. The reversal of 104314032020412 is 214020230413401.

104314032020412 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 1 + 40 + 3 + 202 + 0 + 412 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15981858 + ... + 21541769.

It is an arithmetic number, because the mean of its divisors is an integer number (1966838485248).

Almost surely, 2104314032020412 is an apocalyptic number.

104314032020412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104314032020412 is an abundant number, since it is smaller than the sum of its proper divisors (178910709855300).

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

104314032020412 is a wasteful number, since it uses less digits than its factorization.

104314032020412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37523768 (or 37523763 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 104314032020412 its reverse (214020230413401), we get a palindrome (318334262433813).

The spelling of 104314032020412 in words is "one hundred four trillion, three hundred fourteen billion, thirty-two million, twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 47 53 62 93 94 106 124 141 159 186 188 212 279 282 318 372 423 477 558 564 636 846 954 1116 1457 1643 1692 1908 2491 2914 3286 4371 4929 4982 5828 6572 7473 8742 9858 9964 13113 14787 14946 17484 19716 22419 26226 29574 29892 44838 52452 59148 77221 89676 154442 231663 308884 463326 694989 926652 1389978 2779956 37523627 75047254 112570881 150094508 225141762 337712643 450283524 675425286 1163232437 1350850572 1763610469 1988752231 2326464874 3489697311 3527220938 3977504462 4652929748 5290831407 5966256693 6979394622 7054441876 7955008924 10469091933 10581662814 11932513386 13958789244 15872494221 17898770079 20938183866 21163325628 23865026772 31744988442 35797540158 41876367732 54671924539 61651319161 63489976884 71595080316 93471354857 109343849078 123302638322 164015773617 184953957483 186942709714 218687698156 246605276644 280414064571 328031547234 369907914966 373885419428 492047320851 554861872449 560828129142 656063094468 739815829932 841242193713 984094641702 1109723744898 1121656258284 1682484387426 1968189283404 2219447489796 2897612000567 3364968774852 5795224001134 8692836001701 11590448002268 17385672003402 26078508005103 34771344006804 52157016010206 104314032020412