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54440501514135 = 3511913736110587
BaseRepresentation
bin11000110000011011010101…
…10000010000111110010111
321010202110110011011102121220
430120031222300100332113
524113423121341423020
6311441342055341423
714316124243500342
oct1430155260207627
9233673404142556
1054440501514135
111638a0a5931090
126132b25981873
13244b942aa4609
14d62d11b45459
156461c8062240
hex31836ac10f97

54440501514135 has 32 divisors (see below), whose sum is σ = 95033823305472. Its totient is φ = 26392505095680.

The previous prime is 54440501514109. The next prime is 54440501514181. The reversal of 54440501514135 is 53141510504445.

It is a happy number.

It is not a de Polignac number, because 54440501514135 - 227 = 54440367296407 is a prime.

It is a super-4 number, since 4×544405015141354 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 16547689 + ... + 19562898.

It is an arithmetic number, because the mean of its divisors is an integer number (2969806978296).

Almost surely, 254440501514135 is an apocalyptic number.

54440501514135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

54440501514135 is a deficient number, since it is larger than the sum of its proper divisors (40593321791337).

54440501514135 is a wasteful number, since it uses less digits than its factorization.

54440501514135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36119743.

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 54440501514135 in words is "fifty-four trillion, four hundred forty billion, five hundred one million, five hundred fourteen thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 9137 27411 45685 100507 137055 301521 502535 1507605 36110587 108331761 180552935 397216457 541658805 1191649371 1986082285 5958246855 329942433419 989827300257 1649712167095 3629366767609 4949136501285 10888100302827 18146833838045 54440501514135