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142955919283968 = 283372954611427
BaseRepresentation
bin100000100000010010000100…
…110010011001011100000000
3200202011110012210212102112000
4200200102010302121130000
5122214142210314041333
61224013013115504000
742053136642451110
oct4040220462313400
9622143183772460
10142955919283968
11416062a064559a
1214049994158000
13619c8ba91837b
142743163a91040
15117d928d7c713
hex820484c99700

142955919283968 has 144 divisors (see below), whose sum is σ = 483138060706560. Its totient is φ = 40844548353024.

The previous prime is 142955919283951. The next prime is 142955919283987. The reversal of 142955919283968 is 869382919559241.

142955919283968 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 55 + 91 + 92 + 8 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1429559192839683 (a number of 43 digits) contains 333 as substring.

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, 1477257330 + ... + 1477354097.

Almost surely, 2142955919283968 is an apocalyptic number.

142955919283968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142955919283968 is an abundant number, since it is smaller than the sum of its proper divisors (340182141422592).

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

142955919283968 is an equidigital number, since it uses as much as digits as its factorization.

142955919283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954611459 (or 2954611439 counting only the distinct ones).

The product of its digits is 3023308800, while the sum is 81.

The spelling of 142955919283968 in words is "one hundred forty-two trillion, nine hundred fifty-five billion, nine hundred nineteen million, two hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 2954611427 5909222854 8863834281 11818445708 17727668562 20682279989 23636891416 26591502843 35455337124 41364559978 47273782832 53183005686 62046839967 70910674248 79774508529 82729119956 94547565664 106366011372 124093679934 141821348496 159549017058 165458239912 186140519901 189095131328 212732022744 248187359868 283642696992 319098034116 330916479824 372281039802 378190262656 425464045488 496374719736 558421559703 567285393984 638196068232 661832959648 744562079604 756380525312 850928090976 992749439472 1116843119406 1134570787968 1276392136464 1323665919296 1489124159208 1701856181952 1985498878944 2233686238812 2269141575936 2552784272928 2647331838592 2978248318416 3403712363904 3970997757888 4467372477624 5105568545856 5294663677184 5956496636832 6807424727808 7941995515776 8934744955248 10211137091712 11912993273664 15883991031552 17869489910496 20422274183424 23825986547328 35738979820992 47651973094656 71477959641984 142955919283968