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155442120651540 = 223251018550171653
BaseRepresentation
bin100011010101111110110000…
…011000100111001100010100
3202101101010021122121002100200
4203111332300120213030110
5130333230430341322130
61310333042512340500
744512215441066102
oct4325766030471424
9671333248532320
10155442120651540
114558a6a6816038
1215525883844730
13689718a78c758
142a55620036c72
1512e86162c7760
hex8d5fb0627314

155442120651540 has 72 divisors (see below), whose sum is σ = 476176159754568. Its totient is φ = 41040823929600.

The previous prime is 155442120651511. The next prime is 155442120651581. The reversal of 155442120651540 is 45156021244551.

155442120651540 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 4 + 2 + 120 + 6 + 515 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10503588373776 + 144938532277764 = 3240924^2 + 12039042^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4275067647 + ... + 4275104006.

It is an arithmetic number, because the mean of its divisors is an integer number (6613557774369).

Almost surely, 2155442120651540 is an apocalyptic number.

155442120651540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155442120651540 is an abundant number, since it is smaller than the sum of its proper divisors (320734039103028).

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

155442120651540 is a wasteful number, since it uses less digits than its factorization.

155442120651540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550171769 (or 8550171764 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 155442120651540 in words is "one hundred fifty-five trillion, four hundred forty-two billion, one hundred twenty million, six hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 8550171653 17100343306 25650514959 34200686612 42750858265 51301029918 76951544877 85501716530 102602059836 128252574795 153903089754 171003433060 256505149590 307806179508 384757724385 513010299180 769515448770 863567336953 1539030897540 1727134673906 2590702010859 3454269347812 4317836684765 5181404021718 7772106032577 8635673369530 10362808043436 12953510054295 15544212065154 17271346739060 25907020108590 31088424130308 38860530162885 51814040217180 77721060325770 155442120651540