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43140720960 = 26335233147149
BaseRepresentation
bin101000001011011000…
…110010100101000000
311010100112212200201000
4220023120302211000
51201323011032320
631452451212000
73055032035451
oct501330624500
9133315780630
1043140720960
11173288a31a7
12843b8a7000
1340b696732c
142133765128
1511c75c5c90
hexa0b632940

43140720960 has 896 divisors, whose sum is σ = 168542208000. Its totient is φ = 10352517120.

The previous prime is 43140720949. The next prime is 43140720971. The reversal of 43140720960 is 6902704134.

43140720960 is a `hidden beast` number, since 43 + 1 + 407 + 209 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (43140720949) and next prime (43140720971).

It is a super-2 number, since 2×431407209602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 289534966 + ... + 289535114.

Almost surely, 243140720960 is an apocalyptic number.

43140720960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43140720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84271104000).

43140720960 is an abundant number, since it is smaller than the sum of its proper divisors (125401487040).

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

43140720960 is a wasteful number, since it uses less digits than its factorization.

43140720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 43140720960 in words is "forty-three billion, one hundred forty million, seven hundred twenty thousand, nine hundred sixty".