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41012401144 = 2311313893329
BaseRepresentation
bin100110001100100001…
…111001001111111000
310220212020001211210011
4212030201321033320
51132443133314034
630501342031304
72651216441431
oct461441711770
9126766054704
1041012401144
1116436482000
127b46b78534
133b37a421b0
141db0c26488
151100817864
hex98c8793f8

41012401144 has 128 divisors (see below), whose sum is σ = 92139768000. Its totient is φ = 17009541120.

The previous prime is 41012401121. The next prime is 41012401159. The reversal of 41012401144 is 44110421014.

41012401144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 12318072 + ... + 12321400.

Almost surely, 241012401144 is an apocalyptic number.

41012401144 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 41012401144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46069884000).

41012401144 is an abundant number, since it is smaller than the sum of its proper divisors (51127366856).

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

41012401144 is a wasteful number, since it uses less digits than its factorization.

41012401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 41012401144 its reverse (44110421014), we get a palindrome (85122822158).

The spelling of 41012401144 in words is "forty-one billion, twelve million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 89 104 121 143 178 242 286 356 484 572 712 968 979 1144 1157 1331 1573 1958 2314 2662 3146 3329 3916 4628 5324 6292 6658 7832 9256 10648 10769 12584 12727 13316 17303 21538 25454 26632 34606 36619 43076 43277 50908 69212 73238 86152 86554 101816 118459 138424 139997 146476 173108 236918 279994 292952 296281 346216 402809 473836 476047 559988 592562 805618 947672 952094 1119976 1185124 1539967 1611236 1904188 2370248 3079934 3222472 3259091 3808376 3851653 4430899 5236517 6159868 6518182 7703306 8861798 10473034 12319736 13036364 15406612 17723596 20946068 26072728 30813224 35447192 35850001 41892136 42368183 57601687 71700002 84736366 115203374 143400004 169472732 230406748 286800008 338945464 394350011 460813496 466050013 788700022 932100026 1577400044 1864200052 3154800088 3728400104 5126550143 10253100286 20506200572 41012401144