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146806028320 = 2557131076811
BaseRepresentation
bin1000100010111001010…
…0100011100000100000
3112000221011102221102011
42020232110203200200
54401124320401240
6151235230402304
713414663436320
oct2105624434040
9460834387364
10146806028320
11572951a2a36
1224551060394
1310ac79417a3
1471694d5280
153c434c26ea
hex222e523820

146806028320 has 48 divisors (see below), whose sum is σ = 396376279488. Its totient is φ = 50333495040.

The previous prime is 146806028309. The next prime is 146806028351. The reversal of 146806028320 is 23820608641.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65537286 + ... + 65539525.

It is an arithmetic number, because the mean of its divisors is an integer number (8257839156).

Almost surely, 2146806028320 is an apocalyptic number.

146806028320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146806028320 is an abundant number, since it is smaller than the sum of its proper divisors (249570251168).

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

146806028320 is a wasteful number, since it uses less digits than its factorization.

146806028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131076833 (or 131076825 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 146806028320 in words is "one hundred forty-six billion, eight hundred six million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 131076811 262153622 524307244 655384055 917537677 1048614488 1310768110 1835075354 2097228976 2621536220 3670150708 4194457952 4587688385 5243072440 7340301416 9175376770 10486144880 14680602832 18350753540 20972289760 29361205664 36701507080 73403014160 146806028320