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78314094240 = 2535163154363
BaseRepresentation
bin100100011101111100…
…0100011111010100000
321111010211210012001220
41020323320203322200
52240341402003430
655551010455040
75441460550314
oct1107370437240
9244124705056
1078314094240
11302382a0138
1213217294480
137500a81845
143b0ccc1b44
1520854a1110
hex123be23ea0

78314094240 has 48 divisors (see below), whose sum is σ = 246689398368. Its totient is φ = 20883758336.

The previous prime is 78314094223. The next prime is 78314094241. The reversal of 78314094240 is 4249041387.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×783140942402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78314094192 and 78314094201.

It is not an unprimeable number, because it can be changed into a prime (78314094241) 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, 81576702 + ... + 81577661.

It is an arithmetic number, because the mean of its divisors is an integer number (5139362466).

Almost surely, 278314094240 is an apocalyptic number.

It is an amenable number.

78314094240 is an abundant number, since it is smaller than the sum of its proper divisors (168375304128).

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

78314094240 is a wasteful number, since it uses less digits than its factorization.

78314094240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163154381 (or 163154373 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 78314094240 in words is "seventy-eight billion, three hundred fourteen million, ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 163154363 326308726 489463089 652617452 815771815 978926178 1305234904 1631543630 1957852356 2447315445 2610469808 3263087260 3915704712 4894630890 5220939616 6526174520 7831409424 9789261780 13052349040 15662818848 19578523560 26104698080 39157047120 78314094240