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10412040113343 = 351147138160013
BaseRepresentation
bin1001011110000011110111…
…1100111100110010111111
31100212101021222101202100000
42113200331330330302333
52331042324232111333
634051120350405343
72123150026461501
oct227407574746277
940771258352300
1010412040113343
1133547a3225810
121201b0b200853
135a6b0b03468b
1427dd34391d71
15130c93882713
hex9783df3ccbf

10412040113343 has 96 divisors (see below), whose sum is σ = 17389395459072. Its totient is φ = 6171490051200.

The previous prime is 10412040113317. The next prime is 10412040113347. The reversal of 10412040113343 is 34331104021401.

10412040113343 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 204 + 0 + 113 + 343 = 666.

It is not a de Polignac number, because 10412040113343 - 213 = 10412040105151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412040113347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173466405 + ... + 173526417.

It is an arithmetic number, because the mean of its divisors is an integer number (181139536032).

Almost surely, 210412040113343 is an apocalyptic number.

10412040113343 is a deficient number, since it is larger than the sum of its proper divisors (6977355345729).

10412040113343 is a wasteful number, since it uses less digits than its factorization.

10412040113343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61467 (or 61455 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10412040113343 its reverse (34331104021401), we get a palindrome (44743144134744).

The spelling of 10412040113343 in words is "ten trillion, four hundred twelve billion, forty million, one hundred thirteen thousand, three hundred forty-three".

Divisors: 1 3 9 11 27 33 47 81 99 141 243 297 423 517 891 1269 1381 1551 2673 3807 4143 4653 11421 12429 13959 15191 37287 41877 45573 60013 64907 111861 125631 136719 180039 194721 335583 410157 540117 584163 660143 713977 1230471 1620351 1752489 1980429 2141931 2820611 3691413 4861053 5257467 5941287 6425793 8461833 14583159 15772401 17823861 19277379 25385499 31026721 53471583 57832137 76156497 82877953 93080163 160414749 173496411 228469491 248633859 279240489 685408473 745901577 837721467 911657483 2237704731 2513164401 2734972449 3895263791 6713114193 7539493203 8204917347 11685791373 20139342579 24614752041 35057374119 42847901701 73844256123 105172122357 128543705103 221532768369 315516367071 385631115309 946549101213 1156893345927 3470680037781 10412040113343