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90422150040 = 2334527908071
BaseRepresentation
bin101010000110110010…
…1001000001110011000
322122101200020011010000
41110031211020032120
52440141032300130
6105312300253000
76350513410455
oct1241545101630
9278350204100
1090422150040
1135390a45722
1215636241160
1386b041a7c1
14453adca82c
152543468260
hex150d948398

90422150040 has 80 divisors (see below), whose sum is σ = 303918904080. Its totient is φ = 24112572480.

The previous prime is 90422150033. The next prime is 90422150083. The reversal of 90422150040 is 4005122409.

90422150040 is a `hidden beast` number, since 90 + 422 + 150 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90422149986 and 90422150013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13950796 + ... + 13957275.

It is an arithmetic number, because the mean of its divisors is an integer number (3798986301).

Almost surely, 290422150040 is an apocalyptic number.

90422150040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90422150040 is an abundant number, since it is smaller than the sum of its proper divisors (213496754040).

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

90422150040 is a wasteful number, since it uses less digits than its factorization.

90422150040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27908094 (or 27908081 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 90422150040 its reverse (4005122409), we get a palindrome (94427272449).

The spelling of 90422150040 in words is "ninety billion, four hundred twenty-two million, one hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 27908071 55816142 83724213 111632284 139540355 167448426 223264568 251172639 279080710 334896852 418621065 502345278 558161420 669793704 753517917 837242130 1004690556 1116322840 1255863195 1507035834 1674484260 2009381112 2260553751 2511726390 3014071668 3348968520 3767589585 4521107502 5023452780 6028143336 7535179170 9042215004 10046905560 11302768755 15070358340 18084430008 22605537510 30140716680 45211075020 90422150040