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40125537774 = 23272181251347
BaseRepresentation
bin100101010111101010…
…110001110111101110
310211120102021111221200
4211113222301313232
51124134114202044
630233341310330
72620230305100
oct452752616756
9124512244850
1040125537774
1116020902473
127939b653a6
133a26097c7a
141d29129570
15109ca33369
hex957ab1dee

40125537774 has 72 divisors (see below), whose sum is σ = 101691881928. Its totient is φ = 11401054560.

The previous prime is 40125537743. The next prime is 40125537779. The reversal of 40125537774 is 47773552104.

40125537774 is a `hidden beast` number, since 40 + 1 + 2 + 5 + 537 + 7 + 74 = 666.

It is a super-2 number, since 2×401255377742 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40125537779) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33969 + ... + 285315.

It is an arithmetic number, because the mean of its divisors is an integer number (1412387249).

Almost surely, 240125537774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40125537774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50845940964).

40125537774 is an abundant number, since it is smaller than the sum of its proper divisors (61566344154).

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

40125537774 is a wasteful number, since it uses less digits than its factorization.

40125537774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251550 (or 251540 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 40125537774 in words is "forty billion, one hundred twenty-five million, five hundred thirty-seven thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 181 294 362 441 543 882 1086 1267 1629 2534 3258 3801 7602 8869 11403 17738 22806 26607 53214 79821 159642 251347 502694 754041 1508082 1759429 2262123 3518858 4524246 5278287 10556574 12316003 15834861 24632006 31669722 36948009 45493807 73896018 90987614 110844027 136481421 221688054 272962842 318456649 409444263 636913298 818888526 955369947 1910739894 2229196543 2866109841 4458393086 5732219682 6687589629 13375179258 20062768887 40125537774