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5141214324 = 22321710778511
BaseRepresentation
bin1001100100111000…
…01011010001110100
3111021022002202012100
410302130023101310
541012122324244
62210054022100
7241255413021
oct46234132164
914238082170
105141214324
1121a9099464
12bb5947930
1363c1a286c
1436ab40548
1520154cb69
hex13270b474

5141214324 has 72 divisors (see below), whose sum is σ = 13889086848. Its totient is φ = 1597835520.

The previous prime is 5141214301. The next prime is 5141214329. The reversal of 5141214324 is 4234121415.

5141214324 is a `hidden beast` number, since 514 + 1 + 2 + 143 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141214329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26229 + ... + 104739.

It is an arithmetic number, because the mean of its divisors is an integer number (192903984).

Almost surely, 25141214324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141214324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6944543424).

5141214324 is an abundant number, since it is smaller than the sum of its proper divisors (8747872524).

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

5141214324 is a wasteful number, since it uses less digits than its factorization.

5141214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78645 (or 78640 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5141214324 is about 71702.2616379707. The cubic root of 5141214324 is about 1725.9249340873.

Adding to 5141214324 its reverse (4234121415), we get a palindrome (9375335739).

The spelling of 5141214324 in words is "five billion, one hundred forty-one million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 306 321 428 612 642 963 1284 1819 1926 3638 3852 5457 7276 10914 16371 21828 32742 65484 78511 157022 235533 314044 471066 706599 942132 1334687 1413198 2669374 2826396 4004061 5338748 8008122 8400677 12012183 16016244 16801354 24024366 25202031 33602708 48048732 50404062 75606093 100808124 142811509 151212186 285623018 302424372 428434527 571246036 856869054 1285303581 1713738108 2570607162 5141214324