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11320115144004 = 22332271216337963
BaseRepresentation
bin1010010010111010101101…
…1100010010010101000100
31111002012012021202220012000
42210232223130102111010
52440432043434102004
640024220014025300
72245565002050462
oct244565334222504
944065167686160
1011320115144004
11367491997a667
121329ab77a8230
13641636744124
142b1c79db3832
151496dec7ac39
hexa4bab712544

11320115144004 has 96 divisors (see below), whose sum is σ = 29480935088640. Its totient is φ = 3756341114784.

The previous prime is 11320115143919. The next prime is 11320115144011. The reversal of 11320115144004 is 40044151102311.

It is a happy number.

11320115144004 is a `hidden beast` number, since 1 + 1 + 3 + 201 + 1 + 51 + 4 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 298169127 + ... + 298207089.

It is an arithmetic number, because the mean of its divisors is an integer number (307093073840).

Almost surely, 211320115144004 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 11320115144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740467544320).

11320115144004 is an abundant number, since it is smaller than the sum of its proper divisors (18160819944636).

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

11320115144004 is a wasteful number, since it uses less digits than its factorization.

11320115144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50366 (or 50358 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11320115144004 its reverse (40044151102311), we get a palindrome (51364266246315).

The spelling of 11320115144004 in words is "eleven trillion, three hundred twenty billion, one hundred fifteen million, one hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 227 454 681 908 1362 2043 2724 4086 6129 8172 12163 12258 24326 24516 36489 37963 48652 72978 75926 109467 113889 145956 151852 218934 227778 328401 341667 437868 455556 656802 683334 1025001 1313604 1366668 2050002 2761001 4100004 5522002 8283003 8617601 11044004 16566006 17235202 24849009 25852803 33132012 34470404 49698018 51705606 74547027 77558409 99396036 103411212 149094054 155116818 232675227 298188108 310233636 461743969 465350454 923487938 930700908 1385231907 1846975876 2770463814 4155695721 5540927628 8311391442 12467087163 16622782884 24934174326 49868348652 104815880963 209631761926 314447642889 419263523852 628895285778 943342928667 1257790571556 1886685857334 2830028786001 3773371714668 5660057572002 11320115144004