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77234146240 = 2651032343269
BaseRepresentation
bin100011111101110000…
…0111000101111000000
321101100120200010220211
41013323200320233000
52231133420134430
655251511443504
75402635261006
oct1077340705700
9241316603824
1077234146240
112a833731229
1212b75686594
13738b101b64
143a496c2a76
15202077b72a
hex11fb838bc0

77234146240 has 56 divisors (see below), whose sum is σ = 185699460960. Its totient is φ = 30593707008.

The previous prime is 77234146193. The next prime is 77234146247. The reversal of 77234146240 is 4264143277.

It is a super-2 number, since 2×772341462402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 77234146193 and 77234146202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77234146247) 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, 1138675 + ... + 1204594.

Almost surely, 277234146240 is an apocalyptic number.

It is an amenable number.

77234146240 is an abundant number, since it is smaller than the sum of its proper divisors (108465314720).

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

77234146240 is a wasteful number, since it uses less digits than its factorization.

77234146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343389 (or 2343379 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 77234146240 in words is "seventy-seven billion, two hundred thirty-four million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 6592 8240 16480 32960 2343269 4686538 9373076 11716345 18746152 23432690 37492304 46865380 74984608 93730760 149969216 187461520 241356707 374923040 482713414 749846080 965426828 1206783535 1930853656 2413567070 3861707312 4827134140 7723414624 9654268280 15446829248 19308536560 38617073120 77234146240