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413104030332 = 223767569129001
BaseRepresentation
bin1100000001011101110…
…10110100001001111100
31110111021221010002020120
412000232322310021330
523232014112432312
6513435525014540
741563050215040
oct6005672641174
91414257102216
10413104030332
1114a218501334
126808b854450
132cc56435146
1415dcc68c020
15ab2c04928c
hex602eeb427c

413104030332 has 96 divisors (see below), whose sum is σ = 1120026324480. Its totient is φ = 116062848000.

The previous prime is 413104030303. The next prime is 413104030369. The reversal of 413104030332 is 233030401314.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3137832 + ... + 3266832.

It is an arithmetic number, because the mean of its divisors is an integer number (11666940880).

Almost surely, 2413104030332 is an apocalyptic number.

413104030332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413104030332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560013162240).

413104030332 is an abundant number, since it is smaller than the sum of its proper divisors (706922294148).

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

413104030332 is a wasteful number, since it uses less digits than its factorization.

413104030332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129651 (or 129649 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 413104030332 its reverse (233030401314), we get a palindrome (646134431646).

The spelling of 413104030332 in words is "four hundred thirteen billion, one hundred four million, thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 67 84 134 201 268 402 469 569 804 938 1138 1407 1707 1876 2276 2814 3414 3983 5628 6828 7966 11949 15932 23898 38123 47796 76246 114369 129001 152492 228738 258002 266861 387003 457476 516004 533722 774006 800583 903007 1067444 1548012 1601166 1806014 2709021 3202332 3612028 5418042 8643067 10836084 17286134 25929201 34572268 51858402 60501469 73401569 103716804 121002938 146803138 181504407 220204707 242005876 293606276 363008814 440409414 513810983 726017628 880818828 1027621966 1541432949 2055243932 3082865898 4917905123 6165731796 9835810246 14753715369 19671620492 29507430738 34425335861 59014861476 68850671722 103276007583 137701343444 206552015166 413104030332