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1457212515228 = 223244990151727
BaseRepresentation
bin10101001101001000101…
…000100110001110011100
312011022022122102200222100
4111031020220212032130
5142333332400441403
63033233441245100
7210165041003001
oct25151050461634
95138278380870
101457212515228
11512000525828
121b6501633790
13a75509c9492
145075abb58a8
1527d8aceb2a3
hex15348a2639c

1457212515228 has 36 divisors (see below), whose sum is σ = 3691713261600. Its totient is φ = 484655678976.

The previous prime is 1457212515191. The next prime is 1457212515229. The reversal of 1457212515228 is 8225152127541.

1457212515228 is a `hidden beast` number, since 1 + 4 + 5 + 72 + 1 + 2 + 51 + 522 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×14572125152282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457212515229) 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, 45059700 + ... + 45092027.

It is an arithmetic number, because the mean of its divisors is an integer number (102547590600).

Almost surely, 21457212515228 is an apocalyptic number.

1457212515228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1457212515228 is an abundant number, since it is smaller than the sum of its proper divisors (2234500746372).

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

1457212515228 is a wasteful number, since it uses less digits than its factorization.

1457212515228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90152186 (or 90152181 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The spelling of 1457212515228 in words is "one trillion, four hundred fifty-seven billion, two hundred twelve million, five hundred fifteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 449 898 1347 1796 2694 4041 5388 8082 16164 90151727 180303454 270455181 360606908 540910362 811365543 1081820724 1622731086 3245462172 40478125423 80956250846 121434376269 161912501692 242868752538 364303128807 485737505076 728606257614 1457212515228