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240400240040 = 23515759963907
BaseRepresentation
bin1101111111100011111…
…0001000110110101000
3211222111220110112010002
43133320332020312220
512414314430140130
6302234403242132
723240225216252
oct3377076106650
9758456415102
10240400240040
1192a53739534
123a711679348
131989229835c
14b8c78b6cd2
1563c016ab45
hex37f8f88da8

240400240040 has 64 divisors (see below), whose sum is σ = 545263056000. Its totient is φ = 95386606848.

The previous prime is 240400239991. The next prime is 240400240057. The reversal of 240400240040 is 40042004042.

It is a super-2 number, since 2×2404002400402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 240400239994 and 240400240021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3729767 + ... + 3793673.

It is an arithmetic number, because the mean of its divisors is an integer number (8519735250).

Almost surely, 2240400240040 is an apocalyptic number.

240400240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240400240040 is an abundant number, since it is smaller than the sum of its proper divisors (304862815960).

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

240400240040 is a wasteful number, since it uses less digits than its factorization.

240400240040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64674 (or 64670 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240400240040 its reverse (40042004042), we get a palindrome (280442244082).

The spelling of 240400240040 in words is "two hundred forty billion, four hundred million, two hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 157 314 599 628 785 1198 1256 1570 2396 2995 3140 4792 5990 6280 11980 23960 63907 94043 127814 188086 255628 319535 376172 470215 511256 639070 752344 940430 1278140 1880860 2556280 3761720 10033399 20066798 38280293 40133596 50166995 76560586 80267192 100333990 153121172 191401465 200667980 306242344 382802930 401335960 765605860 1531211720 6010006001 12020012002 24040024004 30050030005 48080048008 60100060010 120200120020 240400240040