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11541040914 = 23131947672473
BaseRepresentation
bin10101011111110011…
…00100111100010010
31002210022111121211210
422233321210330102
5142114001302124
65145112320550
7555666141414
oct125771447422
932708447753
1011541040914
114992686947
1222a10a3156
13111c04bcc0
147b6aaa9b4
15478312a29
hex2afe64f12

11541040914 has 128 divisors (see below), whose sum is σ = 27132456960. Its totient is φ = 3242156544.

The previous prime is 11541040879. The next prime is 11541040921. The reversal of 11541040914 is 41904014511.

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 63 ways as a sum of consecutive naturals, for example, 4665582 + ... + 4668054.

It is an arithmetic number, because the mean of its divisors is an integer number (211972320).

Almost surely, 211541040914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11541040914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13566228480).

11541040914 is an abundant number, since it is smaller than the sum of its proper divisors (15591416046).

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

11541040914 is a wasteful number, since it uses less digits than its factorization.

11541040914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624.

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 11541040914 in words is "eleven billion, five hundred forty-one million, forty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 47 57 67 78 94 114 134 141 201 247 282 402 494 611 741 871 893 1222 1273 1482 1742 1786 1833 2473 2546 2613 2679 3149 3666 3819 4946 5226 5358 6298 7419 7638 9447 11609 14838 16549 18894 23218 32149 33098 34827 40937 46987 49647 59831 64298 69654 81874 93974 96447 99294 116231 119662 122811 140961 165691 179493 192894 232462 245622 281922 331382 348693 358986 497073 610831 697386 777803 994146 1221662 1511003 1555606 1832493 2153983 2208389 2333409 3022006 3148129 3664986 4307966 4416778 4533009 4666818 6296258 6461949 6625167 7787477 9066018 9444387 12923898 13250334 15574954 18888774 23362431 28709057 40925677 46724862 57418114 81851354 86127171 101237201 122777031 147962063 172254342 202474402 245554062 295924126 303711603 443886189 607423206 887772378 1923506819 3847013638 5770520457 11541040914