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1414419516 = 2233173124851
BaseRepresentation
bin101010001001110…
…0101010000111100
310122120110221211000
41110103211100330
510344042411031
6352203530300
750023240026
oct12423452074
93576427730
101414419516
11666448354
12335829990
13197059b33
14d5bc7016
15842923e6
hex544e543c

1414419516 has 96 divisors (see below), whose sum is σ = 4008130560. Its totient is φ = 429408000.

The previous prime is 1414419497. The next prime is 1414419529. The reversal of 1414419516 is 6159144141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44491 + ... + 69341.

It is an arithmetic number, because the mean of its divisors is an integer number (41751360).

Almost surely, 21414419516 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 1414419516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004065280).

1414419516 is an abundant number, since it is smaller than the sum of its proper divisors (2593711044).

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

1414419516 is a wasteful number, since it uses less digits than its factorization.

1414419516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24912 (or 24904 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1414419516 is about 37608.7691369978. The cubic root of 1414419516 is about 1122.5165341652.

The spelling of 1414419516 in words is "one billion, four hundred fourteen million, four hundred nineteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 93 102 108 124 153 186 204 279 306 372 459 527 558 612 837 918 1054 1116 1581 1674 1836 2108 3162 3348 4743 6324 9486 14229 18972 24851 28458 49702 56916 74553 99404 149106 223659 298212 422467 447318 670977 770381 844934 894636 1267401 1341954 1540762 1689868 2311143 2534802 2683908 3081524 3802203 4622286 5069604 6933429 7604406 9244572 11406609 13096477 13866858 15208812 20800287 22813218 26192954 27733716 39289431 41600574 45626436 52385908 78578862 83201148 117868293 157157724 235736586 353604879 471473172 707209758 1414419516