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11041356146320 = 2451397451133261
BaseRepresentation
bin1010000010101100010000…
…0111000110011010010000
31110002112200002112120211101
42200223010013012122100
52421400144133140240
635252155021154144
72216466045501433
oct240530407063220
943075602476741
1011041356146320
113577681773835
1212a3a7b9bb954
1362127043c456
142a2593cbb81a
1514232727239a
hexa0ac41c6690

11041356146320 has 80 divisors (see below), whose sum is σ = 25859501760960. Its totient is φ = 4384147392000.

The previous prime is 11041356146299. The next prime is 11041356146351. The reversal of 11041356146320 is 2364165314011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11041356146320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82788490 + ... + 82921750.

It is an arithmetic number, because the mean of its divisors is an integer number (323243772012).

Almost surely, 211041356146320 is an apocalyptic number.

11041356146320 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 11041356146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12929750880480).

11041356146320 is an abundant number, since it is smaller than the sum of its proper divisors (14818145614640).

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

11041356146320 is a wasteful number, since it uses less digits than its factorization.

11041356146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140864 (or 140858 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 11041356146320 in words is "eleven trillion, forty-one billion, three hundred fifty-six million, one hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 7451 11120 14902 29804 37255 59608 74510 119216 133261 149020 266522 298040 533044 596080 666305 1035689 1066088 1332610 2071378 2132176 2665220 4142756 5178445 5330440 8285512 10356890 10660880 16571024 18523279 20713780 37046558 41427560 74093116 82855120 92616395 148186232 185232790 296372464 370465580 740931160 992927711 1481862320 1985855422 3971710844 4964638555 7943421688 9929277110 15886843376 19858554220 39717108440 79434216880 138016951829 276033903658 552067807316 690084759145 1104135614632 1380169518290 2208271229264 2760339036580 5520678073160 11041356146320