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1456052441316 = 2231153229908849
BaseRepresentation
bin10101001100000011011…
…111010001000011100100
312011012022210112211201220
4111030003133101003210
5142323443411110231
63032522401020340
7210124223354214
oct25140337210344
95135283484656
101456052441316
1151156570a060
121b62390246b0
13a73c7574005
145068aaba244
1527d1e04a896
hex153037d10e4

1456052441316 has 96 divisors (see below), whose sum is σ = 3792740112000. Its totient is φ = 431012075520.

The previous prime is 1456052441299. The next prime is 1456052441329. The reversal of 1456052441316 is 6131442506541.

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, 1147660 + ... + 2056508.

It is an arithmetic number, because the mean of its divisors is an integer number (39507709500).

Almost surely, 21456052441316 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 1456052441316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896370056000).

1456052441316 is an abundant number, since it is smaller than the sum of its proper divisors (2336687670684).

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

1456052441316 is a wasteful number, since it uses less digits than its factorization.

1456052441316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909149 (or 909147 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 1456052441316 its reverse (6131442506541), we get a palindrome (7587494947857).

The spelling of 1456052441316 in words is "one trillion, four hundred fifty-six billion, fifty-two million, four hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 229 318 458 583 636 687 916 1166 1374 1749 2332 2519 2748 3498 5038 6996 7557 10076 12137 15114 24274 30228 36411 48548 72822 133507 145644 267014 400521 534028 801042 908849 1602084 1817698 2726547 3635396 5453094 9997339 10906188 19994678 29992017 39989356 48168997 59984034 96337994 119968068 144506991 192675988 208126421 289013982 416252842 529858967 578027964 624379263 832505684 1059717934 1248758526 1589576901 2119435868 2289390631 2497517052 3179153802 4578781262 6358307604 6868171893 9157562524 11030700313 13736343786 22061400626 27472687572 33092100939 44122801252 66184201878 121337703443 132368403756 242675406886 364013110329 485350813772 728026220658 1456052441316