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42687450040 = 2356715928153
BaseRepresentation
bin100111110000010111…
…101100101110111000
311002011221222010220011
4213300113230232320
51144410441400130
631335500111304
73040556224054
oct476027545670
9132157863804
1042687450040
1117115a53034
128333b35534
134043a938a1
1420cd494c64
15119c8dd52a
hex9f05ecbb8

42687450040 has 32 divisors (see below), whose sum is σ = 97480302480. Its totient is φ = 16820128512.

The previous prime is 42687449969. The next prime is 42687450049. The reversal of 42687450040 is 4005478624.

It is a happy number.

It is a super-3 number, since 3×426874500403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 42687449975 and 42687450002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42687450049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7961397 + ... + 7966756.

Almost surely, 242687450040 is an apocalyptic number.

42687450040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42687450040 is an abundant number, since it is smaller than the sum of its proper divisors (54792852440).

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

42687450040 is a wasteful number, since it uses less digits than its factorization.

42687450040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15928231 (or 15928227 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The spelling of 42687450040 in words is "forty-two billion, six hundred eighty-seven million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 15928153 31856306 63712612 79640765 127425224 159281530 318563060 637126120 1067186251 2134372502 4268745004 5335931255 8537490008 10671862510 21343725020 42687450040