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40113311331104 = 2511137598282453
BaseRepresentation
bin10010001111011100110111…
…01011000011001100100000
312021000210110122012001000022
421013232123223003030200
520224204030200043404
6221151444551213012
711310043151341514
oct1107563353031440
9167023418161008
1040113311331104
1111865a61549260
1245ba28a977168
13194c890b1338b
149c96cd388144
1549868c8a48be
hex247b9bac3320

40113311331104 has 48 divisors (see below), whose sum is σ = 86158724682240. Its totient is φ = 18231995938560.

The previous prime is 40113311331091. The next prime is 40113311331127.

40113311331104 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701942 + ... + 8984394.

It is an arithmetic number, because the mean of its divisors is an integer number (1794973430880).

Almost surely, 240113311331104 is an apocalyptic number.

40113311331104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40113311331104 is an abundant number, since it is smaller than the sum of its proper divisors (46045413351136).

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

40113311331104 is a wasteful number, since it uses less digits than its factorization.

40113311331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8296233 (or 8296225 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

It can be divided in two parts, 4011331 and 1331104, that added together give a palindrome (5342435).

The spelling of 40113311331104 in words is "forty trillion, one hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 13759 27518 55036 110072 151349 220144 302698 440288 605396 1210792 2421584 4843168 8282453 16564906 33129812 66259624 91106983 132519248 182213966 265038496 364427932 728855864 1457711728 2915423456 113958270827 227916541654 455833083308 911666166616 1253540979097 1823332333232 2507081958194 3646664666464 5014163916388 10028327832776 20056655665552 40113311331104