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2140122404 = 227532276353
BaseRepresentation
bin111111110001111…
…1010110100100100
312112011000111000202
41333203322310210
513340332404104
6552210130032
7104014511630
oct17743726444
95464014022
102140122404
119a9052702
124b8880918
132814c8324
14164331dc0
15c7d4051e
hex7f8fad24

2140122404 has 48 divisors (see below), whose sum is σ = 4380905088. Its totient is φ = 895784448.

The previous prime is 2140122379. The next prime is 2140122433. The reversal of 2140122404 is 4042210412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333692 + ... + 340044.

It is an arithmetic number, because the mean of its divisors is an integer number (91268856).

Almost surely, 22140122404 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 2140122404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190452544).

2140122404 is an abundant number, since it is smaller than the sum of its proper divisors (2240782684).

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

2140122404 is a wasteful number, since it uses less digits than its factorization.

2140122404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2140122404 is about 46261.4570025632. The cubic root of 2140122404 is about 1288.6833116975.

Adding to 2140122404 its reverse (4042210412), we get a palindrome (6182332816).

The spelling of 2140122404 in words is "two billion, one hundred forty million, one hundred twenty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 53 106 212 227 371 454 742 908 1484 1589 3178 6353 6356 12031 12706 24062 25412 44471 48124 84217 88942 168434 177884 336709 336868 673418 1346836 1442131 2356963 2884262 4713926 5768524 9427852 10094917 20189834 40379668 76432943 152865886 305731772 535030601 1070061202 2140122404