Search a number
-
+
1142445464556 = 2231125146497417
BaseRepresentation
bin10000100111111111000…
…011100101101111101100
311001012211222200202221120
4100213333003211233230
5122204212014331211
62232455431100540
7145352602136424
oct20477703455754
94035758622846
101142445464556
11400565754820
121654b6811750
13839696a4386
143d41a76b484
151eab6eded06
hex109ff0e5bec

1142445464556 has 96 divisors (see below), whose sum is σ = 2920650566400. Its totient is φ = 344695680000.

The previous prime is 1142445464543. The next prime is 1142445464623. The reversal of 1142445464556 is 6554645442411.

It is a super-3 number, since 3×11424454645563 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1142445464499 and 1142445464508.

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, 154026960 + ... + 154034376.

It is an arithmetic number, because the mean of its divisors is an integer number (30423443400).

Almost surely, 21142445464556 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 1142445464556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460325283200).

1142445464556 is an abundant number, since it is smaller than the sum of its proper divisors (1778205101844).

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

1142445464556 is a wasteful number, since it uses less digits than its factorization.

1142445464556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12335 (or 12333 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 51.

The spelling of 1142445464556 in words is "one trillion, one hundred forty-two billion, four hundred forty-five million, four hundred sixty-four thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 753 1004 1506 2761 3012 4649 5522 7417 8283 9298 11044 13947 14834 16566 18596 22251 27894 29668 33132 44502 51139 55788 81587 89004 102278 153417 163174 204556 244761 306834 326348 489522 613668 979044 1166899 1861667 2333798 3500697 3723334 4667596 5585001 7001394 7446668 11170002 12835889 14002788 20478337 22340004 25671778 34481633 38507667 40956674 51343556 61435011 68963266 77015334 81913348 103444899 122870022 137926532 154030668 206889798 245740044 379297963 413779596 758595926 1137893889 1517191852 2275787778 4551575556 8654889883 17309779766 25964669649 34619559532 51929339298 95203788713 103858678596 190407577426 285611366139 380815154852 571222732278 1142445464556