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400451014564250 = 25313233528822733
BaseRepresentation
bin101101100001101010100010…
…0011110010001100110011010
31221111212202001201201212021012
41123003111010132101212122
5404441442134212024000
63535404353442213522
7150230426310316346
oct13303250436214632
91844782051655235
10400451014564250
11106661359a921a1
1238ab610a6542a2
131425a4a3b95190
1470c5d0ab9a626
1531469b34c8735
hex16c354479199a

400451014564250 has 64 divisors (see below), whose sum is σ = 810774093441312. Its totient is φ = 147224248588800.

The previous prime is 400451014564207. The next prime is 400451014564259. The reversal of 400451014564250 is 52465410154004.

It can be written as a sum of positive squares in 16 ways, for example, as 106855160903929 + 293595853660321 = 10337077^2 + 17134639^2 .

It is a super-2 number, since 2×4004510145642502 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400451014564198 and 400451014564207.

It is not an unprimeable number, because it can be changed into a prime (400451014564259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263654117 + ... + 265168616.

Almost surely, 2400451014564250 is an apocalyptic number.

400451014564250 is an abundant number, since it is smaller than the sum of its proper divisors (410323078877062).

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

400451014564250 is a wasteful number, since it uses less digits than its factorization.

400451014564250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528822996 (or 528822986 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

The spelling of 400451014564250 in words is "four hundred trillion, four hundred fifty-one billion, fourteen million, five hundred sixty-four thousand, two hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 125 130 233 250 325 466 650 1165 1625 2330 3029 3250 5825 6058 11650 15145 29125 30290 58250 75725 151450 378625 757250 528822733 1057645466 2644113665 5288227330 6874695529 13220568325 13749391058 26441136650 34373477645 66102841625 68746955290 123215696789 132205683250 171867388225 246431393578 343734776450 616078483945 859336941125 1232156967890 1601804058257 1718673882250 3080392419725 3203608116514 6160784839450 8009020291285 15401962098625 16018040582570 30803924197250 40045101456425 80090202912850 200225507282125 400451014564250