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232540010134400 = 275288781926441
BaseRepresentation
bin110100110111111001110000…
…101100110011101110000000
31010111100121102010111210112202
4310313321300230303232000
5220434413420043300100
62142323223401012332
766660314141641553
oct6467716054635600
91114317363453482
10232540010134400
1168104734462861
12220b798aa840a8
139c9a5762a05a7
14415cdd472c69a
151bd3d752b37d5
hexd37e70b33b80

232540010134400 has 96 divisors (see below), whose sum is σ = 575094129320880. Its totient is φ = 92911137075200.

The previous prime is 232540010134363. The next prime is 232540010134427. The reversal of 232540010134400 is 4431010045232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38124821 + ... + 43801620.

Almost surely, 2232540010134400 is an apocalyptic number.

232540010134400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232540010134400 is an abundant number, since it is smaller than the sum of its proper divisors (342554119186480).

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

232540010134400 is an equidigital number, since it uses as much as digits as its factorization.

232540010134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81927352 (or 81927335 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 232540010134400 its reverse (4431010045232), we get a palindrome (236971020179632).

The spelling of 232540010134400 in words is "two hundred thirty-two trillion, five hundred forty billion, ten million, one hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 887 1600 1774 3200 3548 4435 7096 8870 14192 17740 22175 28384 35480 44350 56768 70960 88700 113536 141920 177400 283840 354800 567680 709600 1419200 2838400 81926441 163852882 327705764 409632205 655411528 819264410 1310823056 1638528820 2048161025 2621646112 3277057640 4096322050 5243292224 6554115280 8192644100 10486584448 13108230560 16385288200 26216461120 32770576400 52432922240 65541152800 72668753167 131082305600 145337506334 262164611200 290675012668 363343765835 581350025336 726687531670 1162700050672 1453375063340 1816718829175 2325400101344 2906750126680 3633437658350 4650800202688 5813500253360 7266875316700 9301600405376 11627000506720 14533750633400 23254001013440 29067501266800 46508002026880 58135002533600 116270005067200 232540010134400