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1442144404160 = 26541659916657
BaseRepresentation
bin10100111111000110100…
…000010100001011000000
312002212102112010100110122
4110333012200110023000
5142112002431413120
63022302331315412
7206122453115015
oct24770640241300
95085375110418
101442144404160
11506678a12979
121b35b72abb68
13a5cbc023625
144db2b90170c
15277a8030a25
hex14fc68142c0

1442144404160 has 112 divisors (see below), whose sum is σ = 3518609371200. Its totient is φ = 562668994560.

The previous prime is 1442144404139. The next prime is 1442144404187. The reversal of 1442144404160 is 614044412441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1442144404160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86570552 + ... + 86587208.

It is an arithmetic number, because the mean of its divisors is an integer number (31416155100).

Almost surely, 21442144404160 is an apocalyptic number.

1442144404160 is a gapful number since it is divisible by the number (10) 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 1442144404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759304685600).

1442144404160 is an abundant number, since it is smaller than the sum of its proper divisors (2076464967040).

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

1442144404160 is a wasteful number, since it uses less digits than its factorization.

1442144404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23314 (or 23304 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The spelling of 1442144404160 in words is "one trillion, four hundred forty-two billion, one hundred forty-four million, four hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 6599 13120 13198 16657 26396 32995 33314 52792 65990 66628 83285 105584 131980 133256 166570 211168 263960 266512 270559 333140 422336 527920 533024 541118 666280 682937 1055840 1066048 1082236 1332560 1352795 1365874 2111680 2164472 2665120 2705590 2731748 3414685 4328944 5330240 5411180 5463496 6829370 8657888 10822360 10926992 13658740 17315776 21644720 21853984 27317480 43289440 43707968 54634960 86578880 109269920 109919543 218539840 219839086 439678172 549597715 879356344 1099195430 1758712688 2198390860 3517425376 4396781720 4506701263 7034850752 8793563440 9013402526 17587126880 18026805052 22533506315 35174253760 36053610104 45067012630 72107220208 90134025260 144214440416 180268050520 288428880832 360536101040 721072202080 1442144404160