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42561106240 = 265235782759
BaseRepresentation
bin100111101000110101…
…101111000101000000
311001212011020012210011
4213220311233011000
51144131120344430
631315144114304
73034463301562
oct475065570500
9131764205704
1042561106240
11170606a9074
1282b9765994
134023858343
1420ba7a7332
15119178322a
hex9e8d6f140

42561106240 has 56 divisors (see below), whose sum is σ = 105755114880. Its totient is φ = 16284246528.

The previous prime is 42561106223. The next prime is 42561106261. The reversal of 42561106240 is 4260116524.

It is a happy number.

It is a super-2 number, since 2×425611062402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2884020 + ... + 2898739.

Almost surely, 242561106240 is an apocalyptic number.

42561106240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42561106240 is an abundant number, since it is smaller than the sum of its proper divisors (63194008640).

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

42561106240 is a wasteful number, since it uses less digits than its factorization.

42561106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782799 (or 5782789 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 42561106240 in words is "forty-two billion, five hundred sixty-one million, one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 5782759 11565518 23131036 28913795 46262072 57827590 92524144 115655180 133003457 185048288 231310360 266006914 370096576 462620720 532013828 665017285 925241440 1064027656 1330034570 1850482880 2128055312 2660069140 4256110624 5320138280 8512221248 10640276560 21280553120 42561106240