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400101401234314 = 2131492411201356821
BaseRepresentation
bin101101011111000111101110…
…1111001010000101110001010
31221110122022122120120112111201
41122332033131321100232022
5404420230132203444224
63534540013555214414
7150163241464124143
oct13276173571205612
91843568576515451
10400101401234314
1110653706241388a
1238a5a3b98a740a
131423352844ba10
1470b302281caca
15313c8503a3a44
hex16be3dde50b8a

400101401234314 has 64 divisors (see below), whose sum is σ = 653901007082400. Its totient is φ = 182509148160000.

The previous prime is 400101401234273. The next prime is 400101401234377. The reversal of 400101401234314 is 413432104101004.

It can be written as a sum of positive squares in 16 ways, for example, as 65255941953225 + 334845459281089 = 8078115^2 + 18298783^2 .

It is a super-2 number, since 2×4001014012343142 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1121116024 + ... + 1121472844.

Almost surely, 2400101401234314 is an apocalyptic number.

400101401234314 is a deficient number, since it is larger than the sum of its proper divisors (253799605848086).

400101401234314 is a wasteful number, since it uses less digits than its factorization.

400101401234314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358427.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 400101401234314 its reverse (413432104101004), we get a palindrome (813533505335318).

The spelling of 400101401234314 in words is "four hundred trillion, one hundred one billion, four hundred one million, two hundred thirty-four thousand, three hundred fourteen".

Divisors: 1 2 13 26 149 241 298 482 1201 1937 2402 3133 3874 6266 15613 31226 35909 71818 178949 289441 356821 357898 466817 578882 713642 933634 2326337 3762733 4638673 4652674 7525466 9277346 43126709 53166329 85993861 86253418 106332658 171987722 428542021 560647217 691162277 857084042 1117920193 1121294434 1382324554 2235840386 5571046273 11142092546 12813085289 25626170578 63852761129 103278627061 127705522258 166570108757 206557254122 333140217514 830085894677 1342622151793 1660171789354 2685244303586 15388515432089 30777030864178 200050700617157 400101401234314