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171422220006144 = 2832641116071771
BaseRepresentation
bin100110111110100001011000…
…100001111011001100000000
3211110221210201020210100201200
4212332201120201323030000
5134432040201310144034
61404330140344501200
751051563262324342
oct4676413041731400
9743853636710650
10171422220006144
114a690834253028
121728693677a800
13748607a048c33
143048c45d33292
1514c4143010a99
hex9be85887b300

171422220006144 has 108 divisors (see below), whose sum is σ = 495023589656232. Its totient is φ = 57051596390400.

The previous prime is 171422220006119. The next prime is 171422220006173. The reversal of 171422220006144 is 441600022224171.

171422220006144 is a `hidden beast` number, since 1 + 7 + 1 + 422 + 220 + 0 + 0 + 6 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 171422220006099 and 171422220006108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56559022 + ... + 59512749.

Almost surely, 2171422220006144 is an apocalyptic number.

It is an amenable number.

171422220006144 is an abundant number, since it is smaller than the sum of its proper divisors (323601369650088).

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

171422220006144 is a wasteful number, since it uses less digits than its factorization.

171422220006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116072434 (or 116072417 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 171422220006144 in words is "one hundred seventy-one trillion, four hundred twenty-two billion, two hundred twenty million, six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 641 768 1152 1282 1923 2304 2564 3846 5128 5769 7692 10256 11538 15384 20512 23076 30768 41024 46152 61536 82048 92304 123072 164096 184608 246144 369216 492288 738432 1476864 116071771 232143542 348215313 464287084 696430626 928574168 1044645939 1392861252 1857148336 2089291878 2785722504 3714296672 4178583756 5571445008 7428593344 8357167512 11142890016 14857186688 16714335024 22285780032 29714373376 33428670048 44571560064 66857340096 74402005211 89143120128 133714680192 148804010422 223206015633 267429360384 297608020844 446412031266 595216041688 669618046899 892824062532 1190432083376 1339236093798 1785648125064 2380864166752 2678472187596 3571296250128 4761728333504 5356944375192 7142592500256 9523456667008 10713888750384 14285185000512 19046913334016 21427777500768 28570370001024 42855555001536 57140740002048 85711110003072 171422220006144