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40721372624442 = 23153129819148663
BaseRepresentation
bin10010100001001001011101…
…11100110011011000111010
312100011220222110210020001110
421100210232330303120322
520314134332342440232
6222335050151101150
711402010401141466
oct1120445674633072
9170156873706043
1040721372624442
1111a7a923273854
1246980a93717b6
1319950168c4533
14a0acd40cd4a6
154a93ca2c8acc
hex25092ef3363a

40721372624442 has 32 divisors (see below), whose sum is σ = 81499222264320. Its totient is φ = 13564378758960.

The previous prime is 40721372624423. The next prime is 40721372624461. The reversal of 40721372624442 is 24442627312704.

40721372624442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40721372624423) and next prime (40721372624461).

It is a super-2 number, since 2×407213726244422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40721372624391 and 40721372624400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273843003 + ... + 273991665.

It is an arithmetic number, because the mean of its divisors is an integer number (2546850695760).

Almost surely, 240721372624442 is an apocalyptic number.

40721372624442 is an abundant number, since it is smaller than the sum of its proper divisors (40777849639878).

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

40721372624442 is a wasteful number, since it uses less digits than its factorization.

40721372624442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180018.

The product of its (nonzero) digits is 3612672, while the sum is 48.

The spelling of 40721372624442 in words is "forty trillion, seven hundred twenty-one billion, three hundred seventy-two million, six hundred twenty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 1531 3062 4593 9186 29819 59638 89457 148663 178914 297326 445989 891978 45652889 91305778 136958667 227603053 273917334 455206106 682809159 1365618318 4432981997 8865963994 13298945991 26597891982 6786895437407 13573790874814 20360686312221 40721372624442