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144131410040322 = 231783127713331821
BaseRepresentation
bin100000110001011000110101…
…011111110001011000000010
3200220022211100210002221211210
4200301120311133301120002
5122342422111432242242
61230313020010150550
742234102463150245
oct4061306537613002
9626284323087753
10144131410040322
1141a19873519121
12141b9771722456
1362566c2566433
142783dd709d25c
15119e2c6ed4d9c
hex8316357f1602

144131410040322 has 64 divisors (see below), whose sum is σ = 309138715154304. Its totient is φ = 44637919687680.

The previous prime is 144131410040297. The next prime is 144131410040351. The reversal of 144131410040322 is 223040014131441.

It is a happy number.

It is a super-2 number, since 2×1441314100403222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144131410040322.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4145172 + ... + 17476992.

It is an arithmetic number, because the mean of its divisors is an integer number (4830292424286).

Almost surely, 2144131410040322 is an apocalyptic number.

144131410040322 is an abundant number, since it is smaller than the sum of its proper divisors (165007305113982).

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

144131410040322 is a wasteful number, since it uses less digits than its factorization.

144131410040322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333203.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144131410040322 its reverse (223040014131441), we get a palindrome (367171424171763).

The spelling of 144131410040322 in words is "one hundred forty-four trillion, one hundred thirty-one billion, four hundred ten million, forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 17 34 51 83 102 166 249 498 1277 1411 2554 2822 3831 4233 7662 8466 21709 43418 65127 105991 130254 211982 317973 635946 1801847 3603694 5405541 10811082 13331821 26663642 39995463 79990926 226640957 453281914 679922871 1106541143 1359845742 2213082286 3319623429 6639246858 17024735417 18811199431 34049470834 37622398862 51074206251 56433598293 102148412502 112867196586 289420502089 578841004178 868261506267 1413053039611 1736523012534 2826106079222 4239159118833 8478318237666 24021901673387 48043803346774 72065705020161 144131410040322