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2414012412 = 223753678093
BaseRepresentation
bin1000111111100010…
…1110011111111100
320020020101112111010
42033320232133330
514420441344122
61035312355220
7113551524030
oct21770563774
96206345433
102414012412
111029713289
12574545b10
132c6183916
1418c86a1c0
15e1de2e0c
hex8fe2e7fc

2414012412 has 96 divisors (see below), whose sum is σ = 6657541632. Its totient is φ = 666521856.

The previous prime is 2414012411. The next prime is 2414012441. The reversal of 2414012412 is 2142104142.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414012411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294238 + ... + 302330.

It is an arithmetic number, because the mean of its divisors is an integer number (69349392).

Almost surely, 22414012412 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 2414012412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328770816).

2414012412 is an abundant number, since it is smaller than the sum of its proper divisors (4243529220).

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

2414012412 is a wasteful number, since it uses less digits than its factorization.

2414012412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2414012412 is about 49132.6002975621. The cubic root of 2414012412 is about 1341.4665039167.

Adding to 2414012412 its reverse (2142104142), we get a palindrome (4556116554).

The spelling of 2414012412 in words is "two billion, four hundred fourteen million, twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 67 84 106 134 159 201 212 268 318 371 402 469 636 742 804 938 1113 1407 1484 1876 2226 2814 3551 4452 5628 7102 8093 10653 14204 16186 21306 24279 24857 32372 42612 48558 49714 56651 74571 97116 99428 113302 149142 169953 226604 298284 339906 428929 542231 679812 857858 1084462 1286787 1626693 1715716 2168924 2573574 3002503 3253386 3795617 5147148 6005006 6506772 7591234 9007509 11386851 12010012 15182468 18015018 22773702 28738243 36030036 45547404 57476486 86214729 114952972 172429458 201167701 344858916 402335402 603503103 804670804 1207006206 2414012412