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1123406685840 = 243543123788001
BaseRepresentation
bin10000010110010000010…
…000011010011010010000
310222101201010212121102010
4100112100100122122100
5121401214102421330
62220030320022520
7144110031163065
oct20262020323220
93871633777363
101123406685840
113a348587255a
12161882761a40
1381c241a9c3a
143c531dbac6c
151e3508453b0
hex1059041a690

1123406685840 has 160 divisors (see below), whose sum is σ = 3566471838336. Its totient is φ = 292368384000.

The previous prime is 1123406685811. The next prime is 1123406685851. The reversal of 1123406685840 is 485866043211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1123406685840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12721840 + ... + 12809840.

Almost surely, 21123406685840 is an apocalyptic number.

1123406685840 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 1123406685840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783235919168).

1123406685840 is an abundant number, since it is smaller than the sum of its proper divisors (2443065152496).

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

1123406685840 is a wasteful number, since it uses less digits than its factorization.

1123406685840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89297 (or 89291 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 1123406685840 in words is "one trillion, one hundred twenty-three billion, four hundred six million, six hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1237 1290 1720 2064 2474 2580 3440 3711 4948 5160 6185 7422 9896 10320 12370 14844 18555 19792 24740 29688 37110 49480 53191 59376 74220 88001 98960 106382 148440 159573 176002 212764 264003 265955 296880 319146 352004 425528 440005 528006 531910 638292 704008 797865 851056 880010 1056012 1063820 1276584 1320015 1408016 1595730 1760020 2112024 2127640 2553168 2640030 3191460 3520040 3784043 4224048 4255280 5280060 6382920 7040080 7568086 10560120 11352129 12765840 15136172 18920215 21120240 22704258 30272344 37840430 45408516 56760645 60544688 75680860 90817032 108857237 113521290 151361720 181634064 217714474 227042580 302723440 326571711 435428948 454085160 544286185 653143422 870857896 908170320 1088572370 1306286844 1632858555 1741715792 2177144740 2612573688 3265717110 4354289480 4680861191 5225147376 6531434220 8708578960 9361722382 13062868440 14042583573 18723444764 23404305955 26125736880 28085167146 37446889528 46808611910 56170334292 70212917865 74893779056 93617223820 112340668584 140425835730 187234447640 224681337168 280851671460 374468895280 561703342920 1123406685840