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7441114104 = 2332377139341
BaseRepresentation
bin1101110111000011…
…00110001111111000
3201012120202202120200
412323201212033320
5110214411122404
63230212522200
7352253266134
oct67341461770
921176682520
107441114104
113179351186
121538020360
139178111c8
145083843c4
152d83ee839
hex1bb8663f8

7441114104 has 96 divisors (see below), whose sum is σ = 20989743840. Its totient is φ = 2379283200.

The previous prime is 7441114069. The next prime is 7441114117. The reversal of 7441114104 is 4014111447.

7441114104 is a `hidden beast` number, since 7 + 441 + 114 + 104 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 169474 + ... + 208814.

It is an arithmetic number, because the mean of its divisors is an integer number (218643165).

Almost surely, 27441114104 is an apocalyptic number.

7441114104 is a gapful number since it is divisible by the number (74) 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 7441114104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494871920).

7441114104 is an abundant number, since it is smaller than the sum of its proper divisors (13548629736).

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

7441114104 is a wasteful number, since it uses less digits than its factorization.

7441114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39461 (or 39454 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7441114104 is about 86261.8925366236. The cubic root of 7441114104 is about 1952.2974546422.

The spelling of 7441114104 in words is "seven billion, four hundred forty-one million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 71 72 74 111 142 148 213 222 284 296 333 426 444 568 639 666 852 888 1278 1332 1704 2556 2627 2664 5112 5254 7881 10508 15762 21016 23643 31524 39341 47286 63048 78682 94572 118023 157364 189144 236046 314728 354069 472092 708138 944184 1416276 1455617 2793211 2832552 2911234 4366851 5586422 5822468 8379633 8733702 11172844 11644936 13100553 16759266 17467404 22345688 25138899 26201106 33518532 34934808 50277798 52402212 67037064 100555596 103348807 104804424 201111192 206697614 310046421 413395228 620092842 826790456 930139263 1240185684 1860278526 2480371368 3720557052 7441114104