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1234140414 = 231322941969
BaseRepresentation
bin100100110001111…
…0111110011111110
310012000020211101020
41021203313303332
510011414443124
6322243525010
742404010003
oct11143676376
93160224336
101234140414
11583704a61
122a5389766
131688b8c00
14b9c998aa
1573531379
hex498f7cfe

1234140414 has 48 divisors (see below), whose sum is σ = 2764983600. Its totient is φ = 366632448.

The previous prime is 1234140361. The next prime is 1234140491. The reversal of 1234140414 is 4140414321.

It is a super-2 number, since 2×12341404142 = 3046205122936182792, which contains 22 as substring.

It is a congruent number.

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, 8422 + ... + 50390.

It is an arithmetic number, because the mean of its divisors is an integer number (57603825).

Almost surely, 21234140414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234140414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382491800).

1234140414 is an abundant number, since it is smaller than the sum of its proper divisors (1530843186).

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

1234140414 is a wasteful number, since it uses less digits than its factorization.

1234140414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42029 (or 42016 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1234140414 is about 35130.3346696270. The cubic root of 1234140414 is about 1072.6421482848.

Adding to 1234140414 its reverse (4140414321), we get a palindrome (5374554735).

The spelling of 1234140414 in words is "one billion, two hundred thirty-four million, one hundred forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 1014 1131 2262 4901 9802 14703 29406 41969 83938 125907 251814 545597 1091194 1217101 1636791 2434202 3273582 3651303 7092761 7302606 14185522 15822313 21278283 31644626 42556566 47466939 94933878 205690069 411380138 617070207 1234140414