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79142374440 = 23325148272
BaseRepresentation
bin100100110110101000…
…0001100110000101000
321120021120100011220100
41021231100030300220
52244040421440230
6100205115425400
75501136040353
oct1115520146050
9246246304810
1079142374440
1130622897328
1213408755260
13760355697c
143b8accd29a
1520d3062660
hex126d40cc28

79142374440 has 72 divisors (see below), whose sum is σ = 257230065690. Its totient is φ = 21103209792.

The previous prime is 79142374403. The next prime is 79142374463. The reversal of 79142374440 is 4447324197.

It can be written as a sum of positive squares in only one way, i.e., 71228136996 + 7914237444 = 266886^2 + 88962^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5330307 + ... + 5345133.

Almost surely, 279142374440 is an apocalyptic number.

It is an amenable number.

79142374440 is an abundant number, since it is smaller than the sum of its proper divisors (178087691250).

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

79142374440 is an equidigital number, since it uses as much as digits as its factorization.

79142374440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29671 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 79142374440 in words is "seventy-nine billion, one hundred forty-two million, three hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 14827 29654 44481 59308 74135 88962 118616 133443 148270 177924 222405 266886 296540 355848 444810 533772 593080 667215 889620 1067544 1334430 1779240 2668860 5337720 219839929 439679858 659519787 879359716 1099199645 1319039574 1758719432 1978559361 2198399290 2638079148 3297598935 3957118722 4396798580 5276158296 6595197870 7914237444 8793597160 9892796805 13190395740 15828474888 19785593610 26380791480 39571187220 79142374440