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40381088240 = 245853591751
BaseRepresentation
bin100101100110111001…
…101000000111110000
310212020020010211021202
4211212321220013300
51130200024310430
630314550510332
72626452405143
oct454671500760
9125206124252
1040381088240
11161420872a9
1279ab6653a8
133a67001b6c
141d5104c05a
1510b51b1d45
hex966e681f0

40381088240 has 40 divisors (see below), whose sum is σ = 93996254688. Its totient is φ = 16133472000.

The previous prime is 40381088213. The next prime is 40381088243. The reversal of 40381088240 is 4288018304.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 40381088194 and 40381088203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40381088243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227636 + ... + 364115.

Almost surely, 240381088240 is an apocalyptic number.

40381088240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40381088240 is an abundant number, since it is smaller than the sum of its proper divisors (53615166448).

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

40381088240 is a wasteful number, since it uses less digits than its factorization.

40381088240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592617 (or 592611 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 40381088240 in words is "forty billion, three hundred eighty-one million, eighty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 853 1706 3412 4265 6824 8530 13648 17060 34120 68240 591751 1183502 2367004 2958755 4734008 5917510 9468016 11835020 23670040 47340080 504763603 1009527206 2019054412 2523818015 4038108824 5047636030 8076217648 10095272060 20190544120 40381088240