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40242501440 = 265532372789
BaseRepresentation
bin100101011110101000…
…111101011101000000
310211212120100212221022
4211132220331131000
51124404040021230
630253120245012
72623150422041
oct453650753500
9124776325838
1040242501440
111608092aa59
127971170768
133a4439ab3b
141d3a8948c8
1510a7e391e5
hex95ea3d740

40242501440 has 56 divisors (see below), whose sum is σ = 97635562920. Its totient is φ = 15793276928.

The previous prime is 40242501421. The next prime is 40242501451. The reversal of 40242501440 is 4410524204.

40242501440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4726837504 + 35515663936 = 68752^2 + 188456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1169435 + ... + 1203354.

It is an arithmetic number, because the mean of its divisors is an integer number (1743492195).

Almost surely, 240242501440 is an apocalyptic number.

40242501440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40242501440 is an abundant number, since it is smaller than the sum of its proper divisors (57393061480).

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

40242501440 is a wasteful number, since it uses less digits than its factorization.

40242501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372859 (or 2372849 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The spelling of 40242501440 in words is "forty billion, two hundred forty-two million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 2372789 4745578 9491156 11863945 18982312 23727890 37964624 47455780 75929248 94911560 125757817 151858496 189823120 251515634 379646240 503031268 628789085 759292480 1006062536 1257578170 2012125072 2515156340 4024250144 5030312680 8048500288 10060625360 20121250720 40242501440