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54430014132 = 223213116303449
BaseRepresentation
bin110010101100010010…
…000001101010110100
312012111022200012120100
4302230102001222310
51342433040423012
641001012034100
73634553325564
oct625422015264
9165438605510
1054430014132
11210a136225a
12a670602930
1351957b1270
1428c4c1cda4
15163875b8dc
hexcac481ab4

54430014132 has 36 divisors (see below), whose sum is σ = 148170595300. Its totient is φ = 16747696512.

The previous prime is 54430014113. The next prime is 54430014137. The reversal of 54430014132 is 23141003445.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20734272036 + 33695742096 = 143994^2 + 183564^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 54430014096 and 54430014105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54430014137) 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, 58151257 + ... + 58152192.

Almost surely, 254430014132 is an apocalyptic number.

54430014132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54430014132 is an abundant number, since it is smaller than the sum of its proper divisors (93740581168).

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

54430014132 is a wasteful number, since it uses less digits than its factorization.

54430014132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116303472 (or 116303467 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 54430014132 its reverse (23141003445), we get a palindrome (77571017577).

The spelling of 54430014132 in words is "fifty-four billion, four hundred thirty million, fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 116303449 232606898 348910347 465213796 697820694 1046731041 1395641388 1511944837 2093462082 3023889674 4186924164 4535834511 6047779348 9071669022 13607503533 18143338044 27215007066 54430014132