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40240242440 = 23537110924517
BaseRepresentation
bin100101011110100000…
…010101111100001000
310211212102010010011122
4211132200111330020
51124403000224230
630253000014412
72623122263036
oct453640257410
9124772103148
1040240242440
111607a627812
127970461408
133a43a89858
141d3a467556
1510a7b3ebe5
hex95e815f08

40240242440 has 64 divisors (see below), whose sum is σ = 93075231600. Its totient is φ = 15646307328.

The previous prime is 40240242431. The next prime is 40240242451. The reversal of 40240242440 is 4424204204.

It can be written as a sum of positive squares in 8 ways, for example, as 7996294084 + 32243948356 = 89422^2 + 179566^2 .

It is a super-2 number, since 2×402402424402 (a number of 22 digits) contains 22 as substring.

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, 1629062 + ... + 1653578.

Almost surely, 240240242440 is an apocalyptic number.

40240242440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40240242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46537615800).

40240242440 is an abundant number, since it is smaller than the sum of its proper divisors (52834989160).

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

40240242440 is a wasteful number, since it uses less digits than its factorization.

40240242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25674 (or 25670 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 40240242440 its reverse (4424204204), we get a palindrome (44664446644).

The spelling of 40240242440 in words is "forty billion, two hundred forty million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1109 1480 2218 4436 5545 8872 11090 22180 24517 41033 44360 49034 82066 98068 122585 164132 196136 205165 245170 328264 410330 490340 820660 907129 980680 1641320 1814258 3628516 4535645 7257032 9071290 18142580 27189353 36285160 54378706 108757412 135946765 217514824 271893530 543787060 1006006061 1087574120 2012012122 4024024244 5030030305 8048048488 10060060610 20120121220 40240242440