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361450142112 = 2537111324153
BaseRepresentation
bin1010100001010000001…
…10110111100110100000
31021112222002012200111110
411100220012313212200
521410222214021422
6434014202543320
735054033341533
oct5205006674640
91245862180443
10361450142112
1112a321200614
125a074b07b40
1328113b42547
14136cc43aa1a
1596073ad60c
hex54281b79a0

361450142112 has 144 divisors (see below), whose sum is σ = 970993977408. Its totient is φ = 117706874880.

The previous prime is 361450142107. The next prime is 361450142113. The reversal of 361450142112 is 211241054163.

It is a self number, because there is not a number n which added to its sum of digits gives 361450142112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361450142113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87031428 + ... + 87035580.

It is an arithmetic number, because the mean of its divisors is an integer number (6743013732).

Almost surely, 2361450142112 is an apocalyptic number.

361450142112 is a gapful number since it is divisible by the number (32) 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 361450142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485496988704).

361450142112 is an abundant number, since it is smaller than the sum of its proper divisors (609543835296).

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

361450142112 is a wasteful number, since it uses less digits than its factorization.

361450142112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4342 counting only the distinct ones).

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

Adding to 361450142112 its reverse (211241054163), we get a palindrome (572691196275).

The spelling of 361450142112 in words is "three hundred sixty-one billion, four hundred fifty million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 113 142 213 226 284 339 426 452 568 678 852 904 1136 1356 1704 1808 2272 2712 3408 3616 4153 5424 6816 8023 8306 10848 12459 12769 16046 16612 24069 24918 25538 32092 33224 38307 48138 49836 51076 64184 66448 76614 96276 99672 102152 128368 132896 153228 192552 199344 204304 256736 294863 306456 385104 398688 408608 469289 589726 612912 770208 884589 906599 938578 1179452 1225824 1407867 1769178 1813198 1877156 2358904 2719797 2815734 3538356 3626396 3754312 4717808 5439594 5631468 7076712 7252792 7508624 9435616 10879188 11262936 14153424 14505584 15017248 21758376 22525872 28306848 29011168 33319519 43516752 45051744 53029657 66639038 87033504 99958557 106059314 133278076 159088971 199917114 212118628 266556152 318177942 399834228 424237256 533112304 636355884 799668456 848474512 1066224608 1272711768 1599336912 1696949024 2545423536 3198673824 3765105647 5090847072 7530211294 11295316941 15060422588 22590633882 30120845176 45181267764 60241690352 90362535528 120483380704 180725071056 361450142112