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1456264322340 = 2235443467117319
BaseRepresentation
bin10101001100010000000…
…111100001110100100100
312011012212120020111212020
4111030100013201310210
5142324412131303330
63032555410223140
7210132405334152
oct25142007416444
95135776214766
101456264322340
11511664277443
121b6297b84ab0
13a742c42b0b9
14506aacb23d2
1527d32950210
hex153101e1d24

1456264322340 has 96 divisors (see below), whose sum is σ = 4095530449920. Its totient is φ = 386627569536.

The previous prime is 1456264322311. The next prime is 1456264322341. The reversal of 1456264322340 is 432234626541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1456264322292 and 1456264322301.

It is not an unprimeable number, because it can be changed into a prime (1456264322341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12354201 + ... + 12471519.

It is an arithmetic number, because the mean of its divisors is an integer number (42661775520).

Almost surely, 21456264322340 is an apocalyptic number.

1456264322340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1456264322340 is an abundant number, since it is smaller than the sum of its proper divisors (2639266127580).

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

1456264322340 is a wasteful number, since it uses less digits than its factorization.

1456264322340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118241 (or 118239 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

Adding to 1456264322340 its reverse (432234626541), we get a palindrome (1888498948881).

The spelling of 1456264322340 in words is "one trillion, four hundred fifty-six billion, two hundred sixty-four million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 443 467 886 934 1329 1401 1772 1868 2215 2335 2658 2802 4430 4670 5316 5604 6645 7005 8860 9340 13290 14010 26580 28020 117319 206881 234638 351957 413762 469276 586595 620643 703914 827524 1034405 1173190 1241286 1407828 1759785 2068810 2346380 2482572 3103215 3519570 4137620 6206430 7039140 12412860 51972317 54787973 103944634 109575946 155916951 164363919 207889268 219151892 259861585 273939865 311833902 328727838 519723170 547879730 623667804 657455676 779584755 821819595 1039446340 1095759460 1559169510 1643639190 3118339020 3287278380 24271072039 48542144078 72813216117 97084288156 121355360195 145626432234 242710720390 291252864468 364066080585 485421440780 728132161170 1456264322340