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142905672914220 = 223254196492006831
BaseRepresentation
bin100000011111100011010001…
…110111101101010100101100
3200201222122112001110101010200
4200133203101313231110230
5122212331304231223340
61223533543153433500
742046410536403156
oct4037432167552454
9621878461411120
10142905672914220
1141596a568a9287
12140400b086b890
136197c40b07438
14274095874bad6
15117c487a6e330
hex81f8d1ded52c

142905672914220 has 144 divisors (see below), whose sum is σ = 444099479241600. Its totient is φ = 37174840012800.

The previous prime is 142905672914159. The next prime is 142905672914237. The reversal of 142905672914220 is 22419276509241.

142905672914220 is a `hidden beast` number, since 1 + 4 + 29 + 0 + 567 + 29 + 14 + 2 + 20 = 666.

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, 70206205 + ... + 72213035.

It is an arithmetic number, because the mean of its divisors is an integer number (3084024161400).

Almost surely, 2142905672914220 is an apocalyptic number.

142905672914220 is a gapful number since it is divisible by the number (10) 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 142905672914220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222049739620800).

142905672914220 is an abundant number, since it is smaller than the sum of its proper divisors (301193806327380).

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

142905672914220 is a wasteful number, since it uses less digits than its factorization.

142905672914220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016536 (or 2016531 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 142905672914220 in words is "one hundred forty-two trillion, nine hundred five billion, six hundred seventy-two million, nine hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 9649 19298 28947 38596 48245 57894 86841 96490 115788 144735 173682 192980 289470 347364 395609 434205 578940 791218 868410 1186827 1582436 1736820 1978045 2006831 2373654 3560481 3956090 4013662 4747308 5934135 6020493 7120962 7912180 8027324 10034155 11868270 12040986 14241924 17802405 18061479 20068310 23736540 24081972 30102465 35604810 36122958 40136620 60204930 71209620 72245916 82280071 90307395 120409860 164560142 180614790 246840213 329120284 361229580 411400355 493680426 740520639 822800710 987360852 1234201065 1481041278 1645601420 2468402130 2962082556 3702603195 4936804260 7405206390 14810412780 19363912319 38727824638 58091736957 77455649276 96819561595 116183473914 174275210871 193639123190 232366947828 290458684785 348550421742 387278246380 580917369570 697100843484 793920405079 871376054355 1161834739140 1587840810158 1742752108710 2381761215237 3175681620316 3485504217420 3969602025395 4763522430474 7145283645711 7939204050790 9527044860948 11908806076185 14290567291422 15878408101580 23817612152370 28581134582844 35726418228555 47635224304740 71452836457110 142905672914220