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413422140276 = 2232174116476253
BaseRepresentation
bin1100000010000011110…
…00010011101101110100
31110112010002200202001100
412001001320103231310
523233142031442101
6513531251130100
741603662132215
oct6010170235564
91415102622040
10413422140276
1114a371025012
126815a2a3930
132cca7303c92
141601ca1740c
15ab49e33e86
hex6041e13b74

413422140276 has 72 divisors (see below), whose sum is σ = 1133500370184. Its totient is φ = 126537615360.

The previous prime is 413422140269. The next prime is 413422140277. The reversal of 413422140276 is 672041224314.

413422140276 is a `hidden beast` number, since 4 + 1 + 342 + 2 + 1 + 40 + 276 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72802832400 + 340619307876 = 269820^2 + 583626^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413422140276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413422140277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8213035 + ... + 8263218.

It is an arithmetic number, because the mean of its divisors is an integer number (15743060697).

Almost surely, 2413422140276 is an apocalyptic number.

It is an amenable number.

413422140276 is an abundant number, since it is smaller than the sum of its proper divisors (720078229908).

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

413422140276 is a wasteful number, since it uses less digits than its factorization.

413422140276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16476321 (or 16476316 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 413422140276 in words is "four hundred thirteen billion, four hundred twenty-two million, one hundred forty thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 1394 1476 2091 2788 4182 6273 8364 12546 25092 16476253 32952506 49428759 65905012 98857518 148286277 197715036 280096301 296572554 560192602 593145108 675526373 840288903 1120385204 1351052746 1680577806 2026579119 2520866709 2702105492 3361155612 4053158238 5041733418 6079737357 8106316476 10083466836 11483948341 12159474714 22967896682 24318949428 34451845023 45935793364 68903690046 103355535069 137807380092 206711070138 413422140276