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11141296712 = 2371371439491
BaseRepresentation
bin10100110000001001…
…01011001001001000
31001202110022111212222
422120010223021020
5140304132443322
65041312353212
7543043313420
oct123004531110
931673274788
1011141296712
1147a7a76137
1221ab245808
131087299c80
14779971480
1545319ee42
hex29812b248

11141296712 has 128 divisors (see below), whose sum is σ = 26185420800. Its totient is φ = 4326739200.

The previous prime is 11141296709. The next prime is 11141296723. The reversal of 11141296712 is 21769214111.

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, 22690787 + ... + 22691277.

It is an arithmetic number, because the mean of its divisors is an integer number (204573600).

Almost surely, 211141296712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141296712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092710400).

11141296712 is an abundant number, since it is smaller than the sum of its proper divisors (15044124088).

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

11141296712 is a wasteful number, since it uses less digits than its factorization.

11141296712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its digits is 6048, while the sum is 35.

The spelling of 11141296712 in words is "eleven billion, one hundred forty-one million, two hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 71 91 104 142 182 284 364 439 491 497 568 728 878 923 982 994 1756 1846 1964 1988 3073 3437 3512 3692 3928 3976 5707 6146 6383 6461 6874 7384 11414 12292 12766 12922 13748 22828 24584 25532 25844 27496 31169 34861 39949 44681 45656 51064 51688 62338 69722 79898 89362 124676 139444 159796 178724 215549 218183 244027 249352 278888 319592 357448 405197 431098 436366 453193 488054 810394 862196 872732 906386 976108 1508843 1620788 1724392 1745464 1812772 1952216 2802137 2836379 3017686 3172351 3241576 3625544 5604274 5672758 6035372 6344702 11208548 11345516 12070744 12689404 15303979 19614959 22417096 22691032 25378808 30607958 39229918 61215916 78459836 107127853 122431832 156919672 198951727 214255706 397903454 428511412 795806908 857022824 1392662089 1591613816 2785324178 5570648356 11141296712