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145722514812 = 223717745913681
BaseRepresentation
bin1000011110110110111…
…1010001110101111100
3111221010122121202022020
42013231233101311330
54341414430433222
6150535523120140
713346065636650
oct2075557216574
9457118552266
10145722514812
1156889619226
12242aa213050
1310984313c34
1470a5648a60
153bcd2e665c
hex21edbd1d7c

145722514812 has 96 divisors (see below), whose sum is σ = 411537047040. Its totient is φ = 39177768960.

The previous prime is 145722514811. The next prime is 145722514837. The reversal of 145722514812 is 218415227541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145722514811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10644612 + ... + 10658292.

It is an arithmetic number, because the mean of its divisors is an integer number (4286844240).

Almost surely, 2145722514812 is an apocalyptic number.

145722514812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145722514812 is an abundant number, since it is smaller than the sum of its proper divisors (265814532228).

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

145722514812 is a wasteful number, since it uses less digits than its factorization.

145722514812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21171 (or 21169 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The spelling of 145722514812 in words is "one hundred forty-five billion, seven hundred twenty-two million, five hundred fourteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 7459 13681 14918 22377 27362 29836 41043 44754 52213 54724 82086 89508 95767 104426 126803 156639 164172 191534 208852 232577 253606 287301 313278 380409 383068 465154 507212 574602 626556 697731 760818 887621 930308 1149204 1395462 1521636 1628039 1775242 2662863 2790924 3256078 3550484 4884117 5325726 6512156 9768234 10651452 19536468 102046579 204093158 306139737 408186316 612279474 714326053 1224558948 1428652106 1734791843 2142978159 2857304212 3469583686 4285956318 5204375529 6939167372 8571912636 10408751058 12143542901 20817502116 24287085802 36430628703 48574171604 72861257406 145722514812