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14525451144 = 2333471430797
BaseRepresentation
bin11011000011100100…
…01100101110001000
31101111022012101001000
431201302030232020
5214222003414034
610401202455000
71022645204031
oct154162145610
941438171030
1014525451144
116184269486
122994664460
1314a6435609
149bb1b5a88
155a0327599
hex361c8cb88

14525451144 has 64 divisors (see below), whose sum is σ = 41206982400. Its totient is φ = 4738796352.

The previous prime is 14525451139. The next prime is 14525451181. The reversal of 14525451144 is 44115452541.

14525451144 is a `hidden beast` number, since 1 + 4 + 52 + 54 + 511 + 44 = 666.

It is a super-4 number, since 4×145254511444 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14525451099 and 14525451108.

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, 705247 + ... + 725550.

It is an arithmetic number, because the mean of its divisors is an integer number (643859100).

Almost surely, 214525451144 is an apocalyptic number.

It is an amenable number.

14525451144 is an abundant number, since it is smaller than the sum of its proper divisors (26681531256).

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

14525451144 is a wasteful number, since it uses less digits than its factorization.

14525451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430859 (or 1430849 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 14525451144 in words is "fourteen billion, five hundred twenty-five million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 1430797 2861594 4292391 5723188 8584782 11446376 12877173 17169564 25754346 34339128 38631519 51508692 67247459 77263038 103017384 134494918 154526076 201742377 268989836 309052152 403484754 537979672 605227131 806969508 1210454262 1613939016 1815681393 2420908524 3631362786 4841817048 7262725572 14525451144