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42131120433440 = 255263319502709
BaseRepresentation
bin10011001010001011010100…
…11101111010100100100000
312112011200210020000000122012
421211011222131322210200
521010234013312332230
6225334434115132052
711605605303614663
oct1145055235724440
9175150706000565
1042131120433440
1112473787146235
124885362ba4028
131a67c41b89b0c
14a5922b1716da
154d0dd90cd395
hex26516a77a920

42131120433440 has 24 divisors (see below), whose sum is σ = 99534772024380. Its totient is φ = 16852448173312.

The previous prime is 42131120433431. The next prime is 42131120433463. The reversal of 42131120433440 is 4433402113124.

It can be written as a sum of positive squares in 2 ways, for example, as 36920255049616 + 5210865383824 = 6076204^2 + 2282732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42131120433397 and 42131120433406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131659751195 + ... + 131659751514.

Almost surely, 242131120433440 is an apocalyptic number.

42131120433440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42131120433440 is an abundant number, since it is smaller than the sum of its proper divisors (57403651590940).

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

42131120433440 is a wasteful number, since it uses less digits than its factorization.

42131120433440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263319502724 (or 263319502716 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 42131120433440 its reverse (4433402113124), we get a palindrome (46564522546564).

The spelling of 42131120433440 in words is "forty-two trillion, one hundred thirty-one billion, one hundred twenty million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263319502709 526639005418 1053278010836 1316597513545 2106556021672 2633195027090 4213112043344 5266390054180 8426224086688 10532780108360 21065560216720 42131120433440