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146406255400 = 23526301116177
BaseRepresentation
bin1000100001011001111…
…1100010101100101000
3111222220022012101001201
42020112133202230220
54344320000133100
6151131430053544
713402040431516
oct2102637425450
9458808171051
10146406255400
11570aa572699
122445b1aa2b4
1310a62b7c672
14712c38d4b6
153c1d35636a
hex22167e2b28

146406255400 has 48 divisors (see below), whose sum is σ = 340451496540. Its totient is φ = 58552704000.

The previous prime is 146406255371. The next prime is 146406255419. The reversal of 146406255400 is 4552604641.

It can be written as a sum of positive squares in 6 ways, for example, as 43489765764 + 102916489636 = 208542^2 + 320806^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146406255400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1202112 + ... + 1318288.

Almost surely, 2146406255400 is an apocalyptic number.

146406255400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146406255400 is an abundant number, since it is smaller than the sum of its proper divisors (194045241140).

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

146406255400 is a wasteful number, since it uses less digits than its factorization.

146406255400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122494 (or 122485 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 146406255400 in words is "one hundred forty-six billion, four hundred six million, two hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6301 12602 25204 31505 50408 63010 116177 126020 157525 232354 252040 315050 464708 580885 630100 929416 1161770 1260200 2323540 2904425 4647080 5808850 11617700 23235400 732031277 1464062554 2928125108 3660156385 5856250216 7320312770 14640625540 18300781925 29281251080 36601563850 73203127700 146406255400