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308422974144 = 26323130753437
BaseRepresentation
bin1000111110011110111…
…00010001101011000000
31002111002112020110002110
410133033130101223000
520023122240133034
6353404302415320
731166003011305
oct4371734215300
91074075213073
10308422974144
1110988a80145a
124b936291540
1323112b9838c
1410cdba710ac
158051da9de9
hex47cf711ac0

308422974144 has 112 divisors (see below), whose sum is σ = 852183053568. Its totient is φ = 98260681728.

The previous prime is 308422974137. The next prime is 308422974151. The reversal of 308422974144 is 441479224803.

It is an interprime number because it is at equal distance from previous prime (308422974137) and next prime (308422974151).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 308422974093 and 308422974102.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5744994 + ... + 5798430.

It is an arithmetic number, because the mean of its divisors is an integer number (7608777264).

Almost surely, 2308422974144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 308422974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426091526784).

308422974144 is an abundant number, since it is smaller than the sum of its proper divisors (543760079424).

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

308422974144 is a wasteful number, since it uses less digits than its factorization.

308422974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54782 (or 54772 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 308422974144 in words is "three hundred eight billion, four hundred twenty-two million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1307 1472 2208 2614 3921 4416 5228 7842 10456 15684 20912 30061 31368 41824 53437 60122 62736 83648 90183 106874 120244 125472 160311 180366 213748 240488 250944 320622 360732 427496 480976 641244 721464 854992 961952 1229051 1282488 1442928 1709984 1923904 2458102 2564976 2885856 3419968 3687153 4916204 5129952 5771712 7374306 9832408 10259904 14748612 19664816 29497224 39329632 58994448 69842159 78659264 117988896 139684318 209526477 235977792 279368636 419052954 558737272 838105908 1117474544 1606369657 1676211816 2234949088 3212739314 3352423632 4469898176 4819108971 6425478628 6704847264 9638217942 12850957256 13409694528 19276435884 25701914512 38552871768 51403829024 77105743536 102807658048 154211487072 308422974144