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42412525797440 = 265269349216169
BaseRepresentation
bin10011010010010111011111…
…00010001100000001000000
312120011121010211211200010002
421221023233202030001000
521024341323101004230
6230112013444455132
711635126633006511
oct1151135742140100
9176147124750102
1042412525797440
1112572062136267
12490b9b90aa4a8
131a8863a519c16
14a68ac48d8a08
154d83a90c5545
hex2692ef88c040

42412525797440 has 56 divisors (see below), whose sum is σ = 101032331828760. Its totient is φ = 16958710304768.

The previous prime is 42412525797427. The next prime is 42412525797487. The reversal of 42412525797440 is 4479752521424.

It can be written as a sum of positive squares in 4 ways, for example, as 155349492736 + 42257176304704 = 394144^2 + 6500552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23746325 + ... + 25469844.

Almost surely, 242412525797440 is an apocalyptic number.

42412525797440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42412525797440 is an abundant number, since it is smaller than the sum of its proper divisors (58619806031320).

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

42412525797440 is a wasteful number, since it uses less digits than its factorization.

42412525797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49218879 (or 49218869 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 56.

The spelling of 42412525797440 in words is "forty-two trillion, four hundred twelve billion, five hundred twenty-five million, seven hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2693 5386 10772 13465 21544 26930 43088 53860 86176 107720 172352 215440 430880 861760 49216169 98432338 196864676 246080845 393729352 492161690 787458704 984323380 1574917408 1968646760 3149834816 3937293520 7874587040 15749174080 132539143117 265078286234 530156572468 662695715585 1060313144936 1325391431170 2120626289872 2650782862340 4241252579744 5301565724680 8482505159488 10603131449360 21206262898720 42412525797440