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42411003140 = 225111925140423
BaseRepresentation
bin100111011111111001…
…001000110100000100
311001110200210012001002
4213133321020310010
51143324204100030
631252222552432
73030661402322
oct473771106404
9131420705032
1042411003140
1116a939a6420
128277438718
133ccb72153c
1420a4892d12
1511834d3245
hex9dfe48d04

42411003140 has 96 divisors (see below), whose sum is σ = 102683427840. Its totient is φ = 14551920000.

The previous prime is 42411003127. The next prime is 42411003163. The reversal of 42411003140 is 4130011424.

42411003140 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028969 + ... + 1069391.

It is an arithmetic number, because the mean of its divisors is an integer number (1069619040).

Almost surely, 242411003140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51341713920).

42411003140 is an abundant number, since it is smaller than the sum of its proper divisors (60272424700).

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

42411003140 is a wasteful number, since it uses less digits than its factorization.

42411003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40713 (or 40711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42411003140 its reverse (4130011424), we get a palindrome (46541014564).

The spelling of 42411003140 in words is "forty-two billion, four hundred eleven million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 251 380 418 502 836 1004 1045 1255 2090 2510 2761 4180 4769 5020 5522 9538 11044 13805 19076 23845 27610 40423 47690 52459 55220 80846 95380 104918 161692 202115 209836 262295 404230 444653 524590 768037 808460 889306 1049180 1536074 1778612 2223265 3072148 3840185 4446530 7680370 8448407 8893060 10146173 15360740 16896814 20292346 33793628 40584692 42242035 50730865 84484070 101461730 111607903 168968140 192777287 202923460 223215806 385554574 446431612 558039515 771109148 963886435 1116079030 1927772870 2120550157 2232158060 3855545740 4241100314 8482200628 10602750785 21205501570 42411003140