Search a number
-
+
413233310112 = 25371016088421
BaseRepresentation
bin1100000001101101001…
…11111110100110100000
31110111121221101011202120
412000312213332212200
523232300211410422
6513500423544240
741566210116030
oct6006647764640
91414557334676
10413233310112
1114a284481127
1268106bbb080
132cc7715ab5c
14160019018c0
15ab3858445c
hex60369fe9a0

413233310112 has 96 divisors (see below), whose sum is σ = 1251974392704. Its totient is φ = 116897664000.

The previous prime is 413233310101. The next prime is 413233310129. The reversal of 413233310112 is 211013332314.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4132333101122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2976339 + ... + 3112082.

It is an arithmetic number, because the mean of its divisors is an integer number (13041399924).

Almost surely, 2413233310112 is an apocalyptic number.

413233310112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

413233310112 is an abundant number, since it is smaller than the sum of its proper divisors (838741082592).

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

413233310112 is a wasteful number, since it uses less digits than its factorization.

413233310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088542 (or 6088534 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 413233310112 its reverse (211013332314), we get a palindrome (624246642426).

The spelling of 413233310112 in words is "four hundred thirteen billion, two hundred thirty-three million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 101 112 168 202 224 303 336 404 606 672 707 808 1212 1414 1616 2121 2424 2828 3232 4242 4848 5656 8484 9696 11312 16968 22624 33936 67872 6088421 12176842 18265263 24353684 36530526 42618947 48707368 73061052 85237894 97414736 127856841 146122104 170475788 194829472 255713682 292244208 340951576 511427364 584488416 614930521 681903152 1022854728 1229861042 1363806304 1844791563 2045709456 2459722084 3689583126 4091418912 4304513647 4919444168 7379166252 8609027294 9838888336 12913540941 14758332504 17218054588 19677776672 25827081882 29516665008 34436109176 51654163764 59033330016 68872218352 103308327528 137744436704 206616655056 413233310112