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3413121444 = 22325912712653
BaseRepresentation
bin1100101101110000…
…0001100110100100
322210212101112102100
43023130001212210
523442224341234
61322403012100
7150403024245
oct31334014644
98725345370
103413121444
1114a1688727
127b306a030
1342516b3b5
14245424ccc
1514e99a399
hexcb7019a4

3413121444 has 72 divisors (see below), whose sum is σ = 8843627520. Its totient is φ = 1109529792.

The previous prime is 3413121427. The next prime is 3413121457. The reversal of 3413121444 is 4441213143.

3413121444 is a `hidden beast` number, since 341 + 312 + 1 + 4 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 263422 + ... + 276074.

It is an arithmetic number, because the mean of its divisors is an integer number (122828160).

Almost surely, 23413121444 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 3413121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421813760).

3413121444 is an abundant number, since it is smaller than the sum of its proper divisors (5430506076).

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

3413121444 is a wasteful number, since it uses less digits than its factorization.

3413121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12849 (or 12844 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3413121444 is about 58421.9260552064. The cubic root of 3413121444 is about 1505.6264900186.

Adding to 3413121444 its reverse (4441213143), we get a palindrome (7854334587).

The spelling of 3413121444 in words is "three billion, four hundred thirteen million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 127 177 236 254 354 381 508 531 708 762 1062 1143 1524 2124 2286 4572 7493 12653 14986 22479 25306 29972 37959 44958 50612 67437 75918 89916 113877 134874 151836 227754 269748 455508 746527 1493054 1606931 2239581 2986108 3213862 4479162 4820793 6427724 6718743 8958324 9641586 13437486 14462379 19283172 26874972 28924758 57849516 94808929 189617858 284426787 379235716 568853574 853280361 1137707148 1706560722 3413121444