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742140376740 = 223357375306309
BaseRepresentation
bin10101100110010110000…
…00110111011010100100
32121221121001001100011000
422303023000313122210
544124400414023430
61324533511513300
7104421634055520
oct12631300673244
92557531040130
10742140376740
11266815993434
12bb9b9388830
1354ca2aa64c9
1427cc3c6cd80
151448892ee60
hexaccb0376a4

742140376740 has 192 divisors, whose sum is σ = 2710038643200. Its totient is φ = 165047404032.

The previous prime is 742140376699. The next prime is 742140376741. The reversal of 742140376740 is 47673041247.

742140376740 is a `hidden beast` number, since 74 + 2 + 140 + 376 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (742140376741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513295 + ... + 2793014.

It is an arithmetic number, because the mean of its divisors is an integer number (14114784600).

Almost surely, 2742140376740 is an apocalyptic number.

742140376740 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

742140376740 is an abundant number, since it is smaller than the sum of its proper divisors (1967898266460).

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

742140376740 is a wasteful number, since it uses less digits than its factorization.

742140376740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306371 (or 5306363 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 742140376740 in words is "seven hundred forty-two billion, one hundred forty million, three hundred seventy-six thousand, seven hundred forty".