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43742040880 = 245796921209
BaseRepresentation
bin101000101111001110…
…101001001100110000
311011220110100220120011
4220233032221030300
51204040430302010
632032251424304
73105653132656
oct505716511460
9134813326504
1043742040880
111760727280a
128589155094
134181405935
14218d572dd6
1512102a4a8a
hexa2f3a9330

43742040880 has 40 divisors (see below), whose sum is σ = 102987604800. Its totient is φ = 17275335168.

The previous prime is 43742040841. The next prime is 43742040883. The reversal of 43742040880 is 8804024734.

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

It is a super-2 number, since 2×437420408802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (43742040883) 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, 3454285 + ... + 3466924.

It is an arithmetic number, because the mean of its divisors is an integer number (2574690120).

Almost surely, 243742040880 is an apocalyptic number.

43742040880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43742040880 is an abundant number, since it is smaller than the sum of its proper divisors (59245563920).

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

43742040880 is a wasteful number, since it uses less digits than its factorization.

43742040880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6921301 (or 6921295 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 43742040880 in words is "forty-three billion, seven hundred forty-two million, forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 6921209 13842418 27684836 34606045 55369672 69212090 110739344 138424180 276848360 546775511 553696720 1093551022 2187102044 2733877555 4374204088 5467755110 8748408176 10935510220 21871020440 43742040880