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3743734105314 = 2327972291337603
BaseRepresentation
bin110110011110100111111…
…100010000010011100010
3111020220020021012102012100
4312132213330100103202
5442314131412332224
611543503034311230
7534322135562610
oct66364774202342
914226207172170
103743734105314
111213788337a65
12505688b88516
13212056854768
14cd2aa6a66b0
15675b3034ac9
hex367a7f104e2

3743734105314 has 96 divisors (see below), whose sum is σ = 9406673377920. Its totient is φ = 1053987572736.

The previous prime is 3743734105303. The next prime is 3743734105409. The reversal of 3743734105314 is 4135014373473.

3743734105314 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 73 + 41 + 0 + 531 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3743734105314.

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, 2130037 + ... + 3467639.

It is an arithmetic number, because the mean of its divisors is an integer number (97986181020).

Almost surely, 23743734105314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3743734105314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703336688960).

3743734105314 is an abundant number, since it is smaller than the sum of its proper divisors (5662939272606).

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

3743734105314 is a wasteful number, since it uses less digits than its factorization.

3743734105314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337944 (or 1337941 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

Adding to 3743734105314 its reverse (4135014373473), we get a palindrome (7878748478787).

The spelling of 3743734105314 in words is "three trillion, seven hundred forty-three billion, seven hundred thirty-four million, one hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 229 291 458 582 679 687 873 1358 1374 1603 1746 2037 2061 3206 4074 4122 4809 6111 9618 12222 14427 22213 28854 44426 66639 133278 155491 199917 310982 399834 466473 932946 1337603 1399419 2675206 2798838 4012809 8025618 9363221 12038427 18726442 24076854 28089663 56179326 84268989 129747491 168537978 259494982 306311087 389242473 612622174 778484946 908232437 918933261 1167727419 1816464874 1837866522 2144177609 2335454838 2724697311 2756799783 4288355218 5449394622 5513599566 6432532827 8174091933 12865065654 16348183866 19297598481 29712175439 38595196962 59424350878 89136526317 178273052634 207985228073 267409578951 415970456146 534819157902 623955684219 1247911368438 1871867052657 3743734105314