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10404140104440 = 23325269107436391
BaseRepresentation
bin1001011101100110011100…
…0100110011101011111000
31100211121220102010201102200
42113121213010303223320
52330430134331320230
634043332422030200
72122450201505535
oct227314704635370
940747812121380
1010404140104440
113351409943135
121200485578360
135a614c430cb4
1427d7c50b5d8c
15130980039160
hex97667133af8

10404140104440 has 96 divisors (see below), whose sum is σ = 33939156232800. Its totient is φ = 2764123441920.

The previous prime is 10404140104403. The next prime is 10404140104447. The reversal of 10404140104440 is 4440104140401.

10404140104440 is a `hidden beast` number, since 1 + 0 + 40 + 41 + 40 + 104 + 440 = 666.

It is a super-2 number, since 2×104041401044402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404140104447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53621356 + ... + 53815035.

It is an arithmetic number, because the mean of its divisors is an integer number (353532877425).

Almost surely, 210404140104440 is an apocalyptic number.

10404140104440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10404140104440 is an abundant number, since it is smaller than the sum of its proper divisors (23535016128360).

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

10404140104440 is a wasteful number, since it uses less digits than its factorization.

10404140104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107436677 (or 107436670 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10404140104440 its reverse (4440104140401), we get a palindrome (14844244244841).

The spelling of 10404140104440 in words is "ten trillion, four hundred four billion, one hundred forty million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 16140 19368 24210 32280 48420 96840 107436391 214872782 322309173 429745564 537181955 644618346 859491128 966927519 1074363910 1289236692 1611545865 1933855038 2148727820 2578473384 3223091730 3867710076 4297455640 4834637595 6446183460 7735420152 9669275190 12892366920 19338550380 28900389179 38677100760 57800778358 86701167537 115601556716 144501945895 173402335074 231203113432 260103502611 289003891790 346804670148 433505837685 520207005222 578007783580 693609340296 867011675370 1040414010444 1156015567160 1300517513055 1734023350740 2080828020888 2601035026110 3468046701480 5202070052220 10404140104440