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3142011120402 = 23711103144745631
BaseRepresentation
bin101101101110001110011…
…101001110101100010010
3102010101002011020122202010
4231232032131032230102
5402434314321323102
610403230414403350
7443000651602140
oct55561635165422
912111064218663
103142011120402
1110015794023a0
12428b39200556
1319a3a0c60a6b
14ac107676590
1556ae6cc2d6c
hex2db8e74eb12

3142011120402 has 128 divisors (see below), whose sum is σ = 7916329893888. Its totient is φ = 807607195200.

The previous prime is 3142011120379. The next prime is 3142011120407. The reversal of 3142011120402 is 2040211102413.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (3142011120407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68834127 + ... + 68879757.

It is an arithmetic number, because the mean of its divisors is an integer number (61846327296).

Almost surely, 23142011120402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142011120402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958164946944).

3142011120402 is an abundant number, since it is smaller than the sum of its proper divisors (4774318773486).

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

3142011120402 is a wasteful number, since it uses less digits than its factorization.

3142011120402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47204.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 3142011120402 its reverse (2040211102413), we get a palindrome (5182222222815).

The spelling of 3142011120402 in words is "three trillion, one hundred forty-two billion, eleven million, one hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 103 154 206 231 309 462 618 721 1133 1442 1447 2163 2266 2894 3399 4326 4341 6798 7931 8682 10129 15862 15917 20258 23793 30387 31834 45631 47586 47751 60774 91262 95502 111419 136893 149041 222838 273786 298082 319417 334257 447123 501941 638834 668514 894246 958251 1003882 1043287 1505823 1639451 1916502 2086574 3011646 3129861 3278902 3513587 4699993 4918353 6259722 7027174 9399986 9836706 10540761 11476157 14099979 21081522 22952314 28199958 32899951 34428471 51699923 65799902 66028057 68856942 98699853 103399846 132056114 155099769 197399706 198084171 310199538 361899461 396168342 462196399 723798922 726308627 924392798 1085698383 1386589197 1452617254 2171396766 2178925881 2773178394 4357851762 5084160389 6800889871 10168320778 13601779742 15252481167 20402669613 30504962334 40805339226 47606229097 74809788581 95212458194 142818687291 149619577162 224429365743 285637374582 448858731486 523668520067 1047337040134 1571005560201 3142011120402