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11427185875344 = 2431797145199497
BaseRepresentation
bin1010011001001001100101…
…0110101101100110010000
31111110102120020020121101020
42212102121112231212100
52444210334041002334
640145324323235440
72256405214206201
oct246223126554620
944412506217336
1011427185875344
11370627357a888
1213467b9518b80
1364b76b0c3165
142b71161235a8
1514c3a9b01e49
hexa64995ad990

11427185875344 has 160 divisors (see below), whose sum is σ = 31601029654656. Its totient is φ = 3545559859200.

The previous prime is 11427185875321. The next prime is 11427185875363. The reversal of 11427185875344 is 44357858172411.

It is a super-2 number, since 2×114271858753442 (a number of 27 digits) contains 22 as substring.

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, 114799804 + ... + 114899300.

Almost surely, 211427185875344 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 11427185875344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800514827328).

11427185875344 is an abundant number, since it is smaller than the sum of its proper divisors (20173843779312).

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

11427185875344 is a wasteful number, since it uses less digits than its factorization.

11427185875344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101073 (or 101067 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 60.

The spelling of 11427185875344 in words is "eleven trillion, four hundred twenty-seven billion, one hundred eighty-five million, eight hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 97 102 136 194 204 272 291 388 408 582 776 816 1164 1451 1552 1649 2328 2902 3298 4353 4656 4947 5804 6596 8706 9894 11608 13192 17412 19788 23216 24667 26384 34824 39576 49334 69648 74001 79152 98668 99497 140747 148002 197336 198994 281494 296004 298491 394672 397988 422241 562988 592008 596982 795976 844482 1125976 1184016 1193964 1591952 1688964 1691449 2251952 2387928 2392699 3377928 3382898 4775856 4785398 5074347 6755856 6765796 7178097 9570796 9651209 10148694 13531592 14356194 19141592 19302418 20297388 27063184 28712388 28953627 38283184 38604836 40594776 57424776 57907254 77209672 81189552 114849552 115814508 144370147 154419344 164070553 231629016 288740294 328141106 433110441 463258032 492211659 577480588 656282212 866220882 984423318 1154961176 1312564424 1732441764 1968846636 2309922352 2454292499 2625128848 3464883528 3937693272 4908584998 6929767056 7362877497 7875386544 9817169996 14003904259 14725754994 19634339992 28007808518 29451509988 39268679984 42011712777 56015617036 58903019976 84023425554 112031234072 117806039952 168046851108 224062468144 238066372403 336093702216 476132744806 672187404432 714199117209 952265489612 1428398234418 1904530979224 2856796468836 3809061958448 5713592937672 11427185875344