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1052114040414 = 233314139151849
BaseRepresentation
bin11110100111101101110…
…00100011011001011110
310201120200122011222101000
433103312320203121132
5114214212143243124
62123200131131130
7136004236533633
oct17236670433136
93646618158330
101052114040414
11376220a46888
1214baa6a43aa6
13782a2001048
1438ccb83a18a
151c57b9e86c9
hexf4f6e2365e

1052114040414 has 64 divisors (see below), whose sum is σ = 2414050560000. Its totient is φ = 339307392960.

The previous prime is 1052114040389. The next prime is 1052114040431. The reversal of 1052114040414 is 4140404112501.

It is a happy number.

1052114040414 is a `hidden beast` number, since 1 + 0 + 5 + 211 + 40 + 404 + 1 + 4 = 666.

It is a super-2 number, since 2×10521140404142 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 6852762 + ... + 7004610.

It is an arithmetic number, because the mean of its divisors is an integer number (37719540000).

Almost surely, 21052114040414 is an apocalyptic number.

1052114040414 is an abundant number, since it is smaller than the sum of its proper divisors (1361936519586).

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

1052114040414 is a wasteful number, since it uses less digits than its factorization.

1052114040414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156030 (or 156024 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1052114040414 its reverse (4140404112501), we get a palindrome (5192518152915).

The spelling of 1052114040414 in words is "one trillion, fifty-two billion, one hundred fourteen million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 4139 8278 12417 24834 37251 74502 111753 128309 151849 223506 256618 303698 384927 455547 769854 911094 1154781 1366641 2309562 2733282 3464343 4099923 4707319 6928686 8199846 9414638 14121957 28243914 42365871 84731742 127097613 254195226 628503011 1257006022 1885509033 3771018066 5656527099 11313054198 16969581297 19483593341 33939162594 38967186682 58450780023 116901560046 175352340069 350704680138 526057020207 1052114040414