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144455252000103 = 3211311011547330119
BaseRepresentation
bin100000110110000110011011…
…111110110011110101100111
3200221110210020212220000212100
4200312012123332303311213
5122413223324003000403
61231121454315223143
742266355544325502
oct4066063376636547
9627423225800770
10144455252000103
11420341458a4710
121425048b747ab3
13627b0c1a08945
14279595885c139
1511a792c8682a3
hex83619bfb3d67

144455252000103 has 96 divisors (see below), whose sum is σ = 237318890065920. Its totient is φ = 83877425280000.

The previous prime is 144455252000093. The next prime is 144455252000131. The reversal of 144455252000103 is 301000252554441.

144455252000103 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 5 + 525 + 20 + 0 + 0 + 103 = 666.

It is not a de Polignac number, because 144455252000103 - 217 = 144455251869031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144455252000153) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4796135278 + ... + 4796165396.

It is an arithmetic number, because the mean of its divisors is an integer number (2472071771520).

Almost surely, 2144455252000103 is an apocalyptic number.

144455252000103 is a deficient number, since it is larger than the sum of its proper divisors (92863638065817).

144455252000103 is a wasteful number, since it uses less digits than its factorization.

144455252000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45741 (or 45738 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 144455252000103 in words is "one hundred forty-four trillion, four hundred fifty-five billion, two hundred fifty-two million, one hundred three", and thus it is an aban number.

Divisors: 1 3 9 11 31 33 93 99 101 279 303 341 909 1023 1111 3069 3131 3333 9393 9999 15473 28179 30119 34441 46419 90357 103323 139257 170203 271071 309969 331309 479663 510609 933689 993927 1438989 1531827 1562773 2801067 2981781 3042019 4316967 4688319 5276293 8403201 9126057 10270579 14064957 15828879 17190503 27378171 30811737 33462209 47486637 48445963 51571509 92435211 94302589 100386627 145337889 154714527 282907767 301159881 436013667 466031287 532905593 848723301 1037328479 1398093861 1598716779 3111985437 4194281583 4796150337 5126344157 9335956311 14446969897 15379032471 43340909691 46137097413 47069159987 130022729073 141207479961 158916668867 423622439883 476750006601 517760759857 1430250019803 1459143959597 1553282279571 4377431878791 4659846838713 13132295636373 16050583555567 48151750666701 144455252000103