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145214879472 = 24321377572051
BaseRepresentation
bin1000011100111101111…
…0110011011011110000
3111212211021102012112100
42013033132303123300
54334400002120342
6150413310500400
713330363052355
oct2071736633360
9455737365470
10145214879472
1156649017293
1224188204700
13109030b76b0
14705806662c
153b9d970e4c
hex21cf7b36f0

145214879472 has 60 divisors (see below), whose sum is σ = 437661517384. Its totient is φ = 44681500800.

The previous prime is 145214879443. The next prime is 145214879479. The reversal of 145214879472 is 274978412541.

It is a happy number.

145214879472 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 487 + 94 + 72 = 666.

It is a super-2 number, since 2×1452148794722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145214879479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38784154 + ... + 38787897.

Almost surely, 2145214879472 is an apocalyptic number.

145214879472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145214879472 is an abundant number, since it is smaller than the sum of its proper divisors (292446637912).

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

145214879472 is a wasteful number, since it uses less digits than its factorization.

145214879472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77572078 (or 77572069 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 145214879472 in words is "one hundred forty-five billion, two hundred fourteen million, eight hundred seventy-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 77572051 155144102 232716153 310288204 465432306 620576408 698148459 930864612 1008436663 1241152816 1396296918 1861729224 2016873326 2792593836 3025309989 3723458448 4033746652 5585187672 6050619978 8067493304 9075929967 11170375344 12101239956 16134986608 18151859934 24202479912 36303719868 48404959824 72607439736 145214879472