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2311383134928 = 2437311371619759
BaseRepresentation
bin100001101000101001001…
…010111011001011010000
322011222002021011001021010
4201220221022323023100
5300332203040304203
64525500150130520
7325664141323620
oct41505112731320
98158067131233
102311383134928
1181128558190a
12313b65650a40
13139c687a567a
147dc2b716880
15401cebac303
hex21a292bb2d0

2311383134928 has 160 divisors (see below), whose sum is σ = 7095637278720. Its totient is φ = 634426813440.

The previous prime is 2311383134903. The next prime is 2311383134971. The reversal of 2311383134928 is 8294313831132.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617113 + ... + 2236871.

It is an arithmetic number, because the mean of its divisors is an integer number (44347732992).

Almost surely, 22311383134928 is an apocalyptic number.

2311383134928 is a gapful number since it is divisible by the number (28) 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 2311383134928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547818639360).

2311383134928 is an abundant number, since it is smaller than the sum of its proper divisors (4784254143792).

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

2311383134928 is a wasteful number, since it uses less digits than its factorization.

2311383134928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619945 (or 1619939 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 2311383134928 in words is "two trillion, three hundred eleven billion, three hundred eighty-three million, one hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 137 168 186 217 248 274 336 372 411 434 496 548 651 744 822 868 959 1096 1302 1488 1644 1736 1918 2192 2604 2877 3288 3472 3836 4247 5208 5754 6576 7672 8494 10416 11508 12741 15344 16988 23016 25482 29729 33976 46032 50964 59458 67952 89187 101928 118916 178374 203856 237832 356748 475664 713496 1426992 1619759 3239518 4859277 6479036 9718554 11338313 12958072 19437108 22676626 25916144 34014939 38874216 45353252 50212529 68029878 77748432 90706504 100425058 136059756 150637587 181413008 200850116 221906983 272119512 301275174 351487703 401700232 443813966 544239024 602550348 665720949 702975406 803400464 887627932 1054463109 1205100696 1331441898 1405950812 1553348881 1775255864 2108926218 2410201392 2662883796 2811901624 3106697762 3550511728 4217852436 4660046643 5325767592 5623803248 6213395524 6879116473 8435704872 9320093286 10651535184 12426791048 13758232946 16871409744 18640186572 20637349419 24853582096 27516465892 37280373144 41274698838 48153815311 55032931784 74560746288 82549397676 96307630622 110065863568 144461445933 165098795352 192615261244 288922891866 330197590704 385230522488 577845783732 770461044976 1155691567464 2311383134928