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42240395970 = 23754344917
BaseRepresentation
bin100111010101101110…
…010100101011000010
311001000210202110000000
4213111232110223002
51143002020132340
631223250140430
73023520304323
oct472556245302
9131023673000
1042240395970
1116a06669763
12822a281716
133ca2288a56
142089d6244a
151173532d30
hex9d5b94ac2

42240395970 has 128 divisors (see below), whose sum is σ = 116686183680. Its totient is φ = 11001904704.

The previous prime is 42240395947. The next prime is 42240395971. The reversal of 42240395970 is 7959304224.

42240395970 is a `hidden beast` number, since 4 + 2 + 24 + 0 + 39 + 597 + 0 = 666.

42240395970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42240395971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917952 + ... + 962868.

It is an arithmetic number, because the mean of its divisors is an integer number (911610810).

Almost surely, 242240395970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240395970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58343091840).

42240395970 is an abundant number, since it is smaller than the sum of its proper divisors (74445787710).

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

42240395970 is an equidigital number, since it uses as much as digits as its factorization.

42240395970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44988 (or 44970 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 42240395970 in words is "forty-two billion, two hundred forty million, three hundred ninety-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 486 645 729 774 810 1161 1215 1290 1458 1935 2187 2322 2430 3483 3645 3870 4374 5805 6966 7290 10449 10935 11610 17415 20898 21870 31347 34830 44917 52245 62694 89834 94041 104490 134751 156735 188082 224585 269502 313470 404253 449170 470205 673755 808506 940410 1212759 1347510 1931431 2021265 2425518 3638277 3862862 4042530 5794293 6063795 7276554 9657155 10914831 11588586 12127590 17382879 18191385 19314310 21829662 28971465 32744493 34765758 36382770 52148637 54574155 57942930 65488986 86914395 98233479 104297274 109148310 156445911 163722465 173828790 196466958 260743185 312891822 327444930 469337733 491167395 521486370 782229555 938675466 982334790 1408013199 1564459110 2346688665 2816026398 4224039597 4693377330 7040065995 8448079194 14080131990 21120197985 42240395970