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40214354101131 = 3717793931418831
BaseRepresentation
bin10010010010011001000100…
…10010101000001110001011
312021101110021110222120211010
421021030202102220032023
520232332444122214011
6221310115204335003
711320251116614050
oct1111144222501613
9167343243876733
1040214354101131
11118a48a255a971
1246159899a4463
1319592746865b2
149d0556acb027
1549b10341d1a6
hex2493224a838b

40214354101131 has 32 divisors (see below), whose sum is σ = 64884526737408. Its totient is φ = 21627600261120.

The previous prime is 40214354101109. The next prime is 40214354101189. The reversal of 40214354101131 is 13110145341204.

It is a happy number.

It is not a de Polignac number, because 40214354101131 - 27 = 40214354101003 is a prime.

It is a super-2 number, since 2×402143541011312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40214354101231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27633886 + ... + 29052716.

It is an arithmetic number, because the mean of its divisors is an integer number (2027641460544).

Almost surely, 240214354101131 is an apocalyptic number.

40214354101131 is a deficient number, since it is larger than the sum of its proper divisors (24670172636277).

40214354101131 is a wasteful number, since it uses less digits than its factorization.

40214354101131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498251.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 40214354101131 its reverse (13110145341204), we get a palindrome (53324499442335).

The spelling of 40214354101131 in words is "forty trillion, two hundred fourteen billion, three hundred fifty-four million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 79393 238179 555751 1349681 1418831 1667253 4049043 4256493 9447767 9931817 24120127 28343301 29795451 72360381 168840889 506522667 112645249583 337935748749 788516747081 1914969242911 2365550241243 5744907728733 13404784700377 40214354101131