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4013132244 = 22311167307593
BaseRepresentation
bin1110111100110011…
…1000100111010100
3101100200102020111120
43233030320213110
531204330212434
61502115203540
7201310030002
oct35714704724
911320366446
104013132244
11177a343720
1293bba65b0
134bc56bb84
142a0db1a72
151874bb349
hexef3389d4

4013132244 has 96 divisors (see below), whose sum is σ = 10327274496. Its totient is φ = 1202849280.

The previous prime is 4013132231. The next prime is 4013132261. The reversal of 4013132244 is 4422313104.

It is a super-3 number, since 3×40131322443 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 6767212 + ... + 6767804.

It is an arithmetic number, because the mean of its divisors is an integer number (107575776).

Almost surely, 24013132244 is an apocalyptic number.

4013132244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013132244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163637248).

4013132244 is an abundant number, since it is smaller than the sum of its proper divisors (6314142252).

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

4013132244 is a wasteful number, since it uses less digits than its factorization.

4013132244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4013132244 is about 63349.2876360895. The cubic root of 4013132244 is about 1589.1363325025.

Adding to 4013132244 its reverse (4422313104), we get a palindrome (8435445348).

The spelling of 4013132244 in words is "four billion, thirteen million, one hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 167 307 334 501 593 614 668 921 1002 1186 1228 1779 1837 1842 2004 2372 3377 3558 3674 3684 5511 6523 6754 7116 7348 10131 11022 13046 13508 19569 20262 22044 26092 39138 40524 51269 78276 99031 102538 153807 182051 198062 205076 297093 307614 364102 396124 546153 563959 594186 615228 728204 1089341 1092306 1127918 1188372 1691877 2002561 2178682 2184612 2255836 3268023 3383754 4005122 4357364 6007683 6536046 6767508 8010244 12015366 13072092 24030732 30402517 60805034 91207551 121610068 182415102 334427687 364830204 668855374 1003283061 1337710748 2006566122 4013132244