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1140469426416 = 2431731104942979
BaseRepresentation
bin10000100110001001010…
…001100110100011110000
311001000202021102122012210
4100212021101212203300
5122141140133121131
62231531401452120
7145252616114325
oct20461121464360
94030667378183
101140469426416
113aa741294051
12165044aa1040
1383713199838
143d2b014cb4c
151e9ed7b2146
hex109894668f0

1140469426416 has 160 divisors (see below), whose sum is σ = 3223293696000. Its totient is φ = 345914449920.

The previous prime is 1140469426403. The next prime is 1140469426427. The reversal of 1140469426416 is 6146249640411.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 26514015 + ... + 26556993.

It is an arithmetic number, because the mean of its divisors is an integer number (20145585600).

Almost surely, 21140469426416 is an apocalyptic number.

1140469426416 is a gapful number since it is divisible by the number (16) 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 1140469426416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611646848000).

1140469426416 is an abundant number, since it is smaller than the sum of its proper divisors (2082824269584).

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

1140469426416 is a wasteful number, since it uses less digits than its factorization.

1140469426416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44087 (or 44081 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 1140469426416 in words is "one trillion, one hundred forty billion, four hundred sixty-nine million, four hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1049 1054 1488 1581 2098 2108 3147 3162 4196 4216 6294 6324 8392 8432 12588 12648 16784 17833 25176 25296 32519 35666 42979 50352 53499 65038 71332 85958 97557 106998 128937 130076 142664 171916 195114 213996 257874 260152 285328 343832 390228 427992 515748 520304 552823 687664 730643 780456 855984 1031496 1105646 1332349 1461286 1560912 1658469 2062992 2191929 2211292 2664698 2922572 3316938 3997047 4383858 4422584 5329396 5845144 6633876 7994094 8767716 8845168 10658792 11690288 13267752 15988188 17535432 21317584 22649933 26535504 31976376 35070864 45084971 45299866 63952752 67949799 90169942 90599732 135254913 135899598 180339884 181199464 270509826 271799196 360679768 362398928 541019652 543598392 721359536 766444507 1082039304 1087196784 1397634101 1532889014 2164078608 2299333521 2795268202 3065778028 4192902303 4598667042 5590536404 6131556056 8385804606 9197334084 11181072808 12263112112 16771609212 18394668168 22362145616 23759779717 33543218424 36789336336 47519559434 67086436848 71279339151 95039118868 142558678302 190078237736 285117356604 380156475472 570234713208 1140469426416