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81142253222142 = 23729367636128537
BaseRepresentation
bin10010011100110001100111…
…001011011111100011111110
3101122022010100010210212120010
4102130301213023133203332
541113413313311102032
6444324123031204050
723043222451242420
oct2234614713374376
9348263303725503
1081142253222142
112394426662a332
129125ab4516626
1336378b2767288
14160743d99c810
1595aa69b02ccc
hex49cc672df8fe

81142253222142 has 128 divisors (see below), whose sum is σ = 192423231959040. Its totient is φ = 22318786344960.

The previous prime is 81142253222137. The next prime is 81142253222207. The reversal of 81142253222142 is 24122235224118.

It is a self number, because there is not a number n which added to its sum of digits gives 81142253222142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2843390898 + ... + 2843419434.

It is an arithmetic number, because the mean of its divisors is an integer number (1503306499680).

Almost surely, 281142253222142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81142253222142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96211615979520).

81142253222142 is an abundant number, since it is smaller than the sum of its proper divisors (111280978736898).

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

81142253222142 is a wasteful number, since it uses less digits than its factorization.

81142253222142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35306.

The product of its digits is 122880, while the sum is 39.

The spelling of 81142253222142 in words is "eighty-one trillion, one hundred forty-two billion, two hundred fifty-three million, two hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 367 406 609 734 1101 1218 2202 2569 5138 6361 7707 10643 12722 15414 19083 21286 28537 31929 38166 44527 57074 63858 74501 85611 89054 133581 149002 171222 184469 199759 223503 267162 368938 399518 447006 553407 599277 827573 1106814 1198554 1291283 1655146 2334487 2482719 2582566 3873849 4668974 4965438 5793011 7003461 7747698 10473079 11586022 14006922 16341409 17379033 20946158 31419237 32682818 34758066 49024227 62838474 67700123 73311553 98048454 135400246 146623106 181523857 203100369 219934659 303719291 363047714 406200738 439869318 473900861 544571571 607438582 911157873 947801722 1089143142 1270666999 1421702583 1822315746 2126035037 2541333998 2843405166 3812000997 4252070074 5264191853 6378105111 7624001994 10528383706 12756210222 15792575559 31585151118 36849342971 66619255519 73698685942 110548028913 133238511038 199857766557 221096057826 399715533114 466334788633 932669577266 1399004365899 1931958410051 2798008731798 3863916820102 5795875230153 11591750460306 13523708870357 27047417740714 40571126611071 81142253222142