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42313155131324 = 22711178369965611
BaseRepresentation
bin10011001111011110011001…
…00101001011011110111100
312112211002122112101210122202
421213233030211023132330
521021224320203200244
6225554221202331032
711625011300202620
oct1147571445133674
9175732575353582
1042313155131324
11125339a9a74010
1248b46a6059a78
131a7c162206abc
14a63d79299180
154d59e025004e
hex267bcc94b7bc

42313155131324 has 96 divisors (see below), whose sum is σ = 97761957834240. Its totient is φ = 15514031001600.

The previous prime is 42313155131297. The next prime is 42313155131339.

It is a happy number.

42313155131324 is nontrivially palindromic in base 10.

It is a congruent number.

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, 43337279 + ... + 44302889.

It is an arithmetic number, because the mean of its divisors is an integer number (1018353727440).

Almost surely, 242313155131324 is an apocalyptic number.

42313155131324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42313155131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48880978917120).

42313155131324 is an abundant number, since it is smaller than the sum of its proper divisors (55448802702916).

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

42313155131324 is a wasteful number, since it uses less digits than its factorization.

42313155131324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974019 (or 974017 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 4231315 and 5131324, that added together give a palindrome (9362639).

The spelling of 42313155131324 in words is "forty-two trillion, three hundred thirteen billion, one hundred fifty-five million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 8369 16738 33476 58583 92059 117166 142273 184118 234332 284546 368236 569092 644413 965611 995911 1288826 1565003 1931222 1991822 2577652 3130006 3862444 3983644 6260012 6759277 10621721 10955021 13518554 16415387 21243442 21910042 27037108 32830774 42486884 43820084 65661548 74352047 114907709 148704094 180569257 229815418 297408188 361138514 459630836 722277028 1263984799 2527969598 5055939196 8081198459 16162396918 32324793836 56568389213 88893183049 113136778426 137380373803 177786366098 226273556852 274760747606 355572732196 549521495212 622252281343 961662616621 1244504562686 1511184111833 1923325233242 2489009125372 3022368223666 3846650466484 6044736447332 10578288782831 21156577565662 42313155131324