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42235055460 = 223251318049169
BaseRepresentation
bin100111010101011001…
…111100110101100100
311001000102201010012100
4213111121330311210
51142444133233320
631222535452100
73023424022323
oct472531746544
9131012633170
1042235055460
1116a03651314
128228527030
133ca1138ca0
1420893720ba
151172d2a790
hex9d567cd64

42235055460 has 72 divisors (see below), whose sum is σ = 137967855480. Its totient is φ = 10396320768.

The previous prime is 42235055449. The next prime is 42235055461. The reversal of 42235055460 is 6455053224.

42235055460 is a `hidden beast` number, since 42 + 2 + 3 + 5 + 0 + 554 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2437199424 + 39797856036 = 49368^2 + 199494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42235055461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9022245 + ... + 9026924.

It is an arithmetic number, because the mean of its divisors is an integer number (1916220215).

Almost surely, 242235055460 is an apocalyptic number.

It is an amenable number.

42235055460 is an abundant number, since it is smaller than the sum of its proper divisors (95732800020).

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

42235055460 is a wasteful number, since it uses less digits than its factorization.

42235055460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18049197 (or 18049192 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 42235055460 in words is "forty-two billion, two hundred thirty-five million, fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 18049169 36098338 54147507 72196676 90245845 108295014 162442521 180491690 216590028 234639197 270737535 324885042 360983380 469278394 541475070 649770084 703917591 812212605 938556788 1082950140 1173195985 1407835182 1624425210 2111752773 2346391970 2815670364 3248850420 3519587955 4223505546 4692783940 7039175910 8447011092 10558763865 14078351820 21117527730 42235055460