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144502403555412 = 22327330449384331
BaseRepresentation
bin100000110110110010010110…
…011011101110000001010100
3200221122021221221212012221200
4200312302112123232001110
5122420011410302233122
61231155253204512500
742302645161044000
oct4066622633560124
9627567857765850
10144502403555412
1142052141701041
121425964a6ab730
1362826975b8c26
142797d4cb57700
1511a8c8c1045ac
hex836c966ee054

144502403555412 has 144 divisors (see below), whose sum is σ = 425985902160000. Its totient is φ = 41284937675520.

The previous prime is 144502403555399. The next prime is 144502403555423. The reversal of 144502403555412 is 214555304205441.

144502403555412 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 0 + 240 + 355 + 54 + 1 + 2 = 666.

It is a super-2 number, since 2×1445024035554122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375792087 + ... + 376176417.

Almost surely, 2144502403555412 is an apocalyptic number.

144502403555412 is a gapful number since it is divisible by the number (12) 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 144502403555412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212992951080000).

144502403555412 is an abundant number, since it is smaller than the sum of its proper divisors (281483498604588).

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

144502403555412 is a wasteful number, since it uses less digits than its factorization.

144502403555412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414811 (or 414792 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 144502403555412 in words is "one hundred forty-four trillion, five hundred two billion, four hundred three million, five hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 30449 60898 91347 121796 182694 213143 274041 365388 384331 426286 548082 639429 768662 852572 1096164 1152993 1278858 1492001 1537324 1918287 2305986 2557716 2690317 2984002 3458979 3836574 4476003 4611972 5380634 5968004 6917958 7673148 8070951 8952006 10444007 10761268 13428009 13835916 16141902 17904012 18832219 20888014 24212853 26856018 31332021 32283804 37664438 41776028 48425706 53712036 56496657 62664042 75328876 93996063 96851412 112993314 125328084 131825533 169489971 187992126 225986628 263651066 338979942 375984252 395476599 527302132 677959884 790953198 1186429797 1581906396 2372859594 4745719188 11702494619 23404989238 35107483857 46809978476 70214967714 81917462333 105322451571 140429935428 163834924666 210644903142 245752386999 327669849332 421289806284 491504773998 573422236331 737257160997 983009547996 1146844472662 1474514321994 1720266708993 2293688945324 2949028643988 3440533417986 4013955654317 5160800126979 6881066835972 8027911308634 10321600253958 12041866962951 16055822617268 20643200507916 24083733925902 36125600888853 48167467851804 72251201777706 144502403555412