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13400204440212 = 22331071497782473
BaseRepresentation
bin1100001011111111101001…
…1011001111001010010100
31202110001021021202112112000
43002333322123033022110
53224022104314041322
644255545142355300
72552063362252122
oct302777233171224
952401237675460
1013400204440212
1142a6aa4078047
12160507142bb30
13762831776aa5
14344805404912
15183883eb53ac
hexc2ffa6cf294

13400204440212 has 96 divisors (see below), whose sum is σ = 35301302064000. Its totient is φ = 4395291146496.

The previous prime is 13400204440123. The next prime is 13400204440219. The reversal of 13400204440212 is 21204440200431.

13400204440212 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 0 + 2 + 0 + 4 + 440 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400204440219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169393 + ... + 5613080.

It is an arithmetic number, because the mean of its divisors is an integer number (367721896500).

Almost surely, 213400204440212 is an apocalyptic number.

13400204440212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13400204440212 is an abundant number, since it is smaller than the sum of its proper divisors (21901097623788).

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

13400204440212 is a wasteful number, since it uses less digits than its factorization.

13400204440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782742 (or 7782734 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13400204440212 its reverse (21204440200431), we get a palindrome (34604644640643).

The spelling of 13400204440212 in words is "thirteen trillion, four hundred billion, two hundred four million, four hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 149 214 298 321 428 447 596 642 894 963 1284 1341 1788 1926 2682 2889 3852 4023 5364 5778 8046 11556 15943 16092 31886 47829 63772 95658 143487 191316 286974 430461 573948 860922 1721844 7782473 15564946 23347419 31129892 46694838 70042257 93389676 140084514 210126771 280169028 420253542 832724611 840507084 1159588477 1665449222 2319176954 2498173833 3330898444 3478765431 4638353908 4996347666 6957530862 7494521499 9992695332 10436296293 13915061724 14989042998 20872592586 22483564497 29978085996 31308888879 41745185172 44967128994 62617777758 89934257988 124075967039 125235555516 248151934078 372227901117 496303868156 744455802234 1116683703351 1488911604468 2233367406702 3350051110053 4466734813404 6700102220106 13400204440212