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40574442374532 = 2232119724127715823
BaseRepresentation
bin10010011100110111110010…
…01110011000010110000100
312022122212201122121011122200
421032123321032120112010
520304232424221441112
6222143350321554500
711355256335466113
oct1116337116302604
9168585648534580
1040574442374532
1111a23584a46350
1246737227a5a30
1319841cc30b461
14a03b562ddc7a
154a567ae69cdc
hex24e6f9398584

40574442374532 has 288 divisors, whose sum is σ = 113926603574784. Its totient is φ = 12073527705600.

The previous prime is 40574442374507. The next prime is 40574442374549. The reversal of 40574442374532 is 23547324447504.

40574442374532 is a `hidden beast` number, since 4 + 0 + 5 + 74 + 4 + 4 + 2 + 37 + 4 + 532 = 666.

It is a super-3 number, since 3×405744423745323 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2564261973 + ... + 2564277795.

Almost surely, 240574442374532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40574442374532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56963301787392).

40574442374532 is an abundant number, since it is smaller than the sum of its proper divisors (73352161200252).

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

40574442374532 is a wasteful number, since it uses less digits than its factorization.

40574442374532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16459 (or 16454 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 54.

The spelling of 40574442374532 in words is "forty trillion, five hundred seventy-four billion, four hundred forty-two million, three hundred seventy-four thousand, five hundred thirty-two".