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413233142140 = 225713227051177
BaseRepresentation
bin1100000001101101001…
…11010101100101111100
31110111121221001122100101
412000312213111211330
523232300141022030
6513500420210444
741566205516230
oct6006647254574
91414557048311
10413233142140
1114a284376a05
1268106b39a24
132cc770cc570
141600189a5c0
15ab3854e7ca
hex60369d597c

413233142140 has 48 divisors (see below), whose sum is σ = 1068048741312. Its totient is φ = 130781477376.

The previous prime is 413233142131. The next prime is 413233142141. The reversal of 413233142140 is 41241332314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 413233142099 and 413233142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413233142141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113523769 + ... + 113527408.

It is an arithmetic number, because the mean of its divisors is an integer number (22251015444).

Almost surely, 2413233142140 is an apocalyptic number.

It is an amenable number.

413233142140 is an abundant number, since it is smaller than the sum of its proper divisors (654815599172).

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

413233142140 is a wasteful number, since it uses less digits than its factorization.

413233142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227051206 (or 227051204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 413233142140 its reverse (41241332314), we get a palindrome (454474474454).

The spelling of 413233142140 in words is "four hundred thirteen billion, two hundred thirty-three million, one hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 227051177 454102354 908204708 1135255885 1589358239 2270511770 2951665301 3178716478 4541023540 5903330602 6357432956 7946791195 11806661204 14758326505 15893582390 20661657107 29516653010 31787164780 41323314214 59033306020 82646628428 103308285535 206616571070 413233142140