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40346752672544 = 2529373116560601
BaseRepresentation
bin10010010110001111101011…
…10111000110001100100000
312021212010000120020212212012
421023013311313012030200
520242020122141010134
6221451013045252052
711332646100115013
oct1113076567061440
9167763016225765
1040346752672544
1111945a6405621a
124637579a04028
1319688b4466746
149d6b1696337a
1549e7a1b246ce
hex24b1f5dc6320

40346752672544 has 48 divisors (see below), whose sum is σ = 82392027129720. Its totient is φ = 19425523353600.

The previous prime is 40346752672531. The next prime is 40346752672547. The reversal of 40346752672544 is 44527625764304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36857283840400 + 3489468832144 = 6071020^2 + 1868012^2 .

It is not an unprimeable number, because it can be changed into a prime (40346752672547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57934157 + ... + 58626444.

Almost surely, 240346752672544 is an apocalyptic number.

It is an amenable number.

40346752672544 is an abundant number, since it is smaller than the sum of its proper divisors (42045274457176).

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

40346752672544 is a wasteful number, since it uses less digits than its factorization.

40346752672544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116561013 (or 116561005 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 59.

The spelling of 40346752672544 in words is "forty trillion, three hundred forty-six billion, seven hundred fifty-two million, six hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 373 464 746 928 1492 2984 5968 10817 11936 21634 43268 86536 173072 346144 116560601 233121202 466242404 932484808 1864969616 3380257429 3729939232 6760514858 13521029716 27042059432 43477104173 54084118864 86954208346 108168237728 173908416692 347816833384 695633666768 1260836021017 1391267333536 2521672042034 5043344084068 10086688168136 20173376336272 40346752672544