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107555460417314 = 27132607647115751
BaseRepresentation
bin11000011101001000110101…
…000000110000011100100010
3112002211012102222001022220122
4120131020311000300130202
5103044142040331323224
61020430144004440242
731440424401066650
oct3035106500603442
9462735388038818
10107555460417314
11312a8018493348
1210090b760a9082
1348025899c4100
141c7b9d7c6ddd0
15c67b6ea4815e
hex61d235030722

107555460417314 has 96 divisors (see below), whose sum is σ = 200294682771456. Its totient is φ = 42413292792000.

The previous prime is 107555460417313. The next prime is 107555460417343. The reversal of 107555460417314 is 413714064555701.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107555460417313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929138939 + ... + 929254689.

It is an arithmetic number, because the mean of its divisors is an integer number (2086402945536).

Almost surely, 2107555460417314 is an apocalyptic number.

107555460417314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107555460417314 is a deficient number, since it is larger than the sum of its proper divisors (92739222354142).

107555460417314 is a wasteful number, since it uses less digits than its factorization.

107555460417314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117040 (or 117027 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 53.

The spelling of 107555460417314 in words is "one hundred seven trillion, five hundred fifty-five billion, four hundred sixty million, four hundred seventeen thousand, three hundred fourteen".

Divisors: 1 2 7 13 14 26 91 169 182 338 607 647 1183 1214 1294 2366 4249 4529 7891 8411 8498 9058 15782 16822 55237 58877 102583 109343 110474 115751 117754 205166 218686 231502 392729 718081 765401 785458 810257 1436162 1504763 1530802 1620514 2749103 3009526 5105477 5498206 10210954 10533341 19561919 21066682 35738339 39123838 66371201 70260857 71476678 74890897 132742402 136933433 140521714 149781794 273866866 464598407 491825999 524236279 913391141 929196814 973581661 983651998 1048472558 1826782282 1947163322 6393737987 6815071627 11874084833 12656561593 12787475974 13630143254 23748169666 25313123186 45458774479 83118593831 88595931151 90917548958 166237187662 177191862302 318211421353 590964068227 636422842706 1181928136454 4136748477589 7682532886951 8273496955178 15365065773902 53777730208657 107555460417314