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53440142176000 = 28532117914713
BaseRepresentation
bin11000010011010100000001…
…01100001110111100000000
321000012211100101120201220001
430021222000230032330000
524001030402344113000
6305354021251125344
714153631353432266
oct1411520054167400
9230184311521801
1053440142176000
1116033923093128
125bb10835a3854
1323a84cb233378
14d2a733ac0436
1562a179eba46a
hex309a80b0ef00

53440142176000 has 144 divisors (see below), whose sum is σ = 133757020339488. Its totient is φ = 21274745856000.

The previous prime is 53440142175997. The next prime is 53440142176061. The reversal of 53440142176000 is 67124104435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2794644 + ... + 10709356.

It is an arithmetic number, because the mean of its divisors is an integer number (928868196802).

Almost surely, 253440142176000 is an apocalyptic number.

53440142176000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53440142176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66878510169744).

53440142176000 is an abundant number, since it is smaller than the sum of its proper divisors (80316878163488).

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

53440142176000 is an equidigital number, since it uses as much as digits as its factorization.

53440142176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914955 (or 7914931 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 53440142176000 in words is "fifty-three trillion, four hundred forty billion, one hundred forty-two million, one hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 211 250 256 320 400 422 500 640 800 844 1000 1055 1280 1600 1688 2000 2110 3200 3376 4000 4220 5275 6400 6752 8000 8440 10550 13504 16000 16880 21100 26375 27008 32000 33760 42200 52750 54016 67520 84400 105500 135040 168800 211000 270080 337600 422000 675200 844000 1350400 1688000 3376000 6752000 7914713 15829426 31658852 39573565 63317704 79147130 126635408 158294260 197867825 253270816 316588520 395735650 506541632 633177040 791471300 989339125 1013083264 1266354080 1582942600 1670004443 1978678250 2026166528 2532708160 3165885200 3340008886 3957356500 5065416320 6331770400 6680017772 7914713000 8350022215 10130832640 12663540800 13360035544 15829426000 16700044430 25327081600 26720071088 31658852000 33400088860 41750111075 50654163200 53440142176 63317704000 66800177720 83500222150 106880284352 126635408000 133600355440 167000444300 208750555375 213760568704 253270816000 267200710880 334000888600 417501110750 427521137408 534401421760 668001777200 835002221500 1068802843520 1336003554400 1670004443000 2137605687040 2672007108800 3340008886000 5344014217600 6680017772000 10688028435200 13360035544000 26720071088000 53440142176000