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144134005123056 = 243131993115897633
BaseRepresentation
bin100000110001011011010000…
…001011001110011111110000
3200220100002001122012211010010
4200301123100023032133300
5122342442420302414211
61230314125311534520
742234224004041154
oct4061332013163760
9626302048184103
10144134005123056
1141a1a9853651a3
12141ba17682a440
136256a170a7150
1427841a19c1064
15119e3c9c434a6
hex8316d02ce7f0

144134005123056 has 80 divisors (see below), whose sum is σ = 401189395492256. Its totient is φ = 44326671925248.

The previous prime is 144134005122941. The next prime is 144134005123093. The reversal of 144134005123056 is 650321500431441.

It is a super-2 number, since 2×1441340051230562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56705185 + ... + 59192448.

Almost surely, 2144134005123056 is an apocalyptic number.

144134005123056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144134005123056 is an abundant number, since it is smaller than the sum of its proper divisors (257055390369200).

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

144134005123056 is a wasteful number, since it uses less digits than its factorization.

144134005123056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115899650 (or 115899644 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

Adding to 144134005123056 its reverse (650321500431441), we get a palindrome (794455505554497).

The spelling of 144134005123056 in words is "one hundred forty-four trillion, one hundred thirty-four billion, five million, one hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1993 3986 5979 7972 11958 15944 23916 25909 31888 47832 51818 77727 95664 103636 155454 207272 310908 414544 621816 1243632 115897633 231795266 347692899 463590532 695385798 927181064 1390771596 1506669229 1854362128 2781543192 3013338458 4520007687 5563086384 6026676916 9040015374 12053353832 18080030748 24106707664 36160061496 72320122992 230983982569 461967965138 692951947707 923935930276 1385903895414 1847871860552 2771807790828 3002791773397 3695743721104 5543615581656 6005583546794 9008375320191 11087231163312 12011167093588 18016750640382 24022334187176 36033501280764 48044668374352 72067002561528 144134005123056