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31344310143234 = 232111731300388229
BaseRepresentation
bin1110010000001111010100…
…11110001100100100000010
311002222111010212101201012100
413020013222132030210002
513102021121344040414
6150355213255011230
76413360140151634
oct710075236144402
9132874125351170
1031344310143234
119a95057a27730
1236228a2069b16
1314649a954a24a
147a510370aa54
1539550dcc0609
hex1c81ea78c902

31344310143234 has 96 divisors (see below), whose sum is σ = 80975054384640. Its totient is φ = 8651180966400.

The previous prime is 31344310143199. The next prime is 31344310143253. The reversal of 31344310143234 is 43234101344313.

31344310143234 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 4 + 310 + 14 + 323 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150089769 + ... + 150298460.

It is an arithmetic number, because the mean of its divisors is an integer number (843490149840).

Almost surely, 231344310143234 is an apocalyptic number.

31344310143234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31344310143234 is an abundant number, since it is smaller than the sum of its proper divisors (49630744241406).

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

31344310143234 is a wasteful number, since it uses less digits than its factorization.

31344310143234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300388296 (or 300388293 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 31344310143234 its reverse (43234101344313), we get a palindrome (74578411487547).

The spelling of 31344310143234 in words is "thirty-one trillion, three hundred forty-four billion, three hundred ten million, one hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 306 341 374 527 558 561 682 1023 1054 1122 1581 1683 2046 3069 3162 3366 4743 5797 6138 9486 11594 17391 34782 52173 104346 300388229 600776458 901164687 1802329374 2703494061 3304270519 5106599893 5406988122 6608541038 9312035099 9912811557 10213199786 15319799679 18624070198 19825623114 27936105297 29738434671 30639599358 45959399037 55872210594 56172598823 59476869342 83808315891 91918798074 102432386089 112345197646 158304596683 167616631782 168517796469 204864772178 307297158267 316609193366 337035592938 474913790049 505553389407 614594316534 921891474801 949827580098 1011106778814 1424741370147 1741350563513 1843782949602 2849482740294 3482701127026 5224051690539 10448103381078 15672155071617 31344310143234