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113920862122240 = 285379832447023
BaseRepresentation
bin11001111001110001000100…
…100001001111000100000000
3112221100201122202100202102121
4121321301010201033010000
5104412434411200402430
61042142304354254024
732665340106621205
oct3171610441170400
9487321582322377
10113920862122240
11333316258369a8
121093a762287314
134b748ca758b94
14201bb28c01cac
15d28522c47a7a
hex679c4484f100

113920862122240 has 144 divisors (see below), whose sum is σ = 280536306236928. Its totient is φ = 44291646332928.

The previous prime is 113920862122189. The next prime is 113920862122247. The reversal of 113920862122240 is 42221268029311.

It is not an unprimeable number, because it can be changed into a prime (113920862122247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45331369 + ... + 47778391.

It is an arithmetic number, because the mean of its divisors is an integer number (1948168793312).

Almost surely, 2113920862122240 is an apocalyptic number.

113920862122240 is a gapful number since it is divisible by the number (10) 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 113920862122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140268153118464).

113920862122240 is an abundant number, since it is smaller than the sum of its proper divisors (166615444114688).

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

113920862122240 is an equidigital number, since it uses as much as digits as its factorization.

113920862122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448064 (or 2448050 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 113920862122240 in words is "one hundred thirteen trillion, nine hundred twenty billion, eight hundred sixty-two million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 983 1184 1280 1480 1966 2368 2960 3932 4736 4915 5920 7864 9472 9830 11840 15728 19660 23680 31456 36371 39320 47360 62912 72742 78640 125824 145484 157280 181855 251648 290968 314560 363710 581936 629120 727420 1163872 1258240 1454840 2327744 2447023 2909680 4655488 4894046 5819360 9310976 9788092 11638720 12235115 19576184 23277440 24470230 39152368 46554880 48940460 78304736 90539851 97880920 156609472 181079702 195761840 313218944 362159404 391523680 452699255 626437888 724318808 783047360 905398510 1448637616 1566094720 1810797020 2405423609 2897275232 3132189440 3621594040 4810847218 5794550464 7243188080 9621694436 11589100928 12027118045 14486376160 19243388872 23178201856 24054236090 28972752320 38486777744 48108472180 57945504640 76973555488 89000673533 96216944360 115891009280 153947110976 178001347066 192433888720 307894221952 356002694132 384867777440 445003367665 615788443904 712005388264 769735554880 890006735330 1424010776528 1539471109760 1780013470660 2848021553056 3078942219520 3560026941320 5696043106112 7120053882640 11392086212224 14240107765280 22784172424448 28480215530560 56960431061120 113920862122240