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10414420332 = 2232341222447
BaseRepresentation
bin10011011001011111…
…10111000101101100
3222212210120100221120
421230233313011230
5132312042422312
64441225100540
7516036053331
oct115457670554
928783510846
1010414420332
11446473a158
122027927750
13c9c80a5c4
1470b1dc988
1540e46e28c
hex26cbf716c

10414420332 has 72 divisors (see below), whose sum is σ = 25991551488. Its totient is φ = 3239406720.

The previous prime is 10414420327. The next prime is 10414420349. The reversal of 10414420332 is 23302441401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452733 + ... + 475179.

Almost surely, 210414420332 is an apocalyptic number.

10414420332 is a gapful number since it is divisible by the number (12) 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 10414420332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12995775744).

10414420332 is an abundant number, since it is smaller than the sum of its proper divisors (15577131156).

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

10414420332 is a wasteful number, since it uses less digits than its factorization.

10414420332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22559 (or 22516 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10414420332 its reverse (23302441401), we get a palindrome (33716861733).

The spelling of 10414420332 in words is "ten billion, four hundred fourteen million, four hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1681 1886 2829 3362 3772 5043 5658 6724 10086 11316 20172 22447 38663 44894 67341 77326 89788 115989 134682 154652 231978 269364 463956 516281 920327 1032562 1548843 1840654 2065124 2760981 3097686 3681308 5521962 6195372 11043924 21167521 37733407 42335042 63502563 75466814 84670084 113200221 127005126 150933628 226400442 254010252 452800884 867868361 1735736722 2603605083 3471473444 5207210166 10414420332