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42011000240 = 24511275317341
BaseRepresentation
bin100111001000000011…
…001111110110110000
311000102211002221012212
4213020003033312300
51142014304001430
631144413311252
73015033416156
oct471003176660
9130384087185
1042011000240
11168a9129310
128185495528
133c668ab831
1420676cb3d6
15115d31db95
hex9c80cfdb0

42011000240 has 80 divisors (see below), whose sum is σ = 106600025376. Its totient is φ = 15270297600.

The previous prime is 42011000237. The next prime is 42011000293. The reversal of 42011000240 is 4200011024.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2413970 + ... + 2431310.

Almost surely, 242011000240 is an apocalyptic number.

42011000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42011000240 is an abundant number, since it is smaller than the sum of its proper divisors (64589025136).

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

42011000240 is a wasteful number, since it uses less digits than its factorization.

42011000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20118 (or 20112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 42011000240 its reverse (4200011024), we get a palindrome (46211011264).

The spelling of 42011000240 in words is "forty-two billion, eleven million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 2753 5506 11012 13765 17341 22024 27530 30283 34682 44048 55060 60566 69364 86705 110120 121132 138728 151415 173410 190751 220240 242264 277456 302830 346820 381502 484528 605660 693640 763004 953755 1211320 1387280 1526008 1907510 2422640 3052016 3815020 7630040 15260080 47739773 95479546 190959092 238698865 381918184 477397730 525137503 763836368 954795460 1050275006 1909590920 2100550012 2625687515 3819181840 4201100024 5251375030 8402200048 10502750060 21005500120 42011000240