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42331403444120 = 23571163290944687
BaseRepresentation
bin10011010000000000011000…
…10000111101111110011000
312112212211202021211010210122
421220000030100331332120
521022024203240202440
6230010440035132412
711626225432252010
oct1150001420757630
9175784667733718
1042331403444120
111254071373755a
1248b8139444108
131a80aaca08b1b
14a64bcaa82c40
154d620c3077b5
hex26800c43df98

42331403444120 has 128 divisors (see below), whose sum is σ = 108985666406400. Its totient is φ = 14495835250176.

The previous prime is 42331403444111. The next prime is 42331403444201. The reversal of 42331403444120 is 2144430413324.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 947264417 + ... + 947309103.

It is an arithmetic number, because the mean of its divisors is an integer number (851450518800).

Almost surely, 242331403444120 is an apocalyptic number.

42331403444120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42331403444120 is an abundant number, since it is smaller than the sum of its proper divisors (66654262962280).

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

42331403444120 is a wasteful number, since it uses less digits than its factorization.

42331403444120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48777 (or 48773 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 42331403444120 its reverse (2144430413324), we get a palindrome (44475833857444).

The spelling of 42331403444120 in words is "forty-two trillion, three hundred thirty-one billion, four hundred three million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1163 2326 2909 4652 5815 5818 8141 9304 11630 11636 14545 16282 20363 23260 23272 29090 32564 40705 40726 44687 46520 58180 65128 81410 81452 89374 101815 116360 162820 162904 178748 203630 223435 312809 325640 357496 407260 446870 625618 814520 893740 1251236 1564045 1787480 2502472 3128090 3383167 6256180 6766334 12512360 13532668 16915835 23682169 27065336 33831670 47364338 51970981 67663340 94728676 103941962 118410845 129994483 135326680 189457352 207883924 236821690 259854905 259988966 363796867 415767848 473643380 519709810 519977932 649972415 727593734 909961381 947286760 1039419620 1039955864 1299944830 1455187468 1818984335 1819922762 2078839240 2599889660 2910374936 3637968670 3639845524 4549806905 5199779320 7275937340 7279691048 9099613810 14551874680 18199227620 36398455240 151183583729 302367167458 604734334916 755917918645 1058285086103 1209468669832 1511835837290 2116570172206 3023671674580 4233140344412 5291425430515 6047343349160 8466280688824 10582850861030 21165701722060 42331403444120