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114402240304 = 241123411973499
BaseRepresentation
bin110101010001011100…
…1111010011100110000
3101221021212222221210021
41222202321322130300
53333243433142204
6124320005013224
711156664666202
oct1524271723460
9357255887707
10114402240304
114457709a440
121a2090b4214
13aa32565821
145773b22772
152e98825154
hex1aa2e7a730

114402240304 has 160 divisors (see below), whose sum is σ = 259858368000. Its totient is φ = 48266803200.

The previous prime is 114402240301. The next prime is 114402240397. The reversal of 114402240304 is 403042204411.

It is not an unprimeable number, because it can be changed into a prime (114402240301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 32693947 + ... + 32697445.

It is an arithmetic number, because the mean of its divisors is an integer number (1624114800).

Almost surely, 2114402240304 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 114402240304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184000).

114402240304 is an abundant number, since it is smaller than the sum of its proper divisors (145456127696).

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

114402240304 is a wasteful number, since it uses less digits than its factorization.

114402240304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3779 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 114402240304 its reverse (403042204411), we get a palindrome (517444444715).

The spelling of 114402240304 in words is "one hundred fourteen billion, four hundred two million, two hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 23 41 44 46 82 88 92 164 176 184 197 253 328 368 394 451 506 656 788 902 943 1012 1576 1804 1886 2024 2167 3152 3499 3608 3772 4048 4334 4531 6998 7216 7544 8077 8668 9062 10373 13996 15088 16154 17336 18124 20746 27992 32308 34672 36248 38489 41492 49841 55984 64616 72496 76978 80477 82984 88847 99682 129232 143459 153956 160954 165968 177694 185771 199364 286918 307912 321908 355388 371542 398728 573836 615824 643816 689303 710776 743084 797456 885247 1147672 1287632 1378606 1421552 1486168 1578049 1770494 2043481 2295344 2757212 2972336 3156098 3299557 3540988 4086962 5514424 6312196 6599114 7081976 7582333 8173924 11028848 12624392 13198228 14163952 15164666 15853969 16347848 25248784 26396456 28261423 30329332 31707938 32695696 36295127 52792912 56522846 60658664 63415876 72590254 113045692 121317328 126831752 145180508 174393659 226091384 253663504 290361016 310875653 348787318 452182768 580722032 621751306 650012729 697574636 1243502612 1300025458 1395149272 2487005224 2600050916 2790298544 4974010448 5200101832 7150140019 10400203664 14300280038 28600560076 57201120152 114402240304