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142415653344 = 2532323775793
BaseRepresentation
bin1000010010100010100…
…0100110100111100000
3111121121012011210011120
42010220220212213200
54313131401401334
6145231433412240
713201123036266
oct2045050464740
9447535153146
10142415653344
1155441a18268
122372686a080
131057819b783
146c703a4436
153a87d3a949
hex2128a269e0

142415653344 has 144 divisors (see below), whose sum is σ = 401369249232. Its totient is φ = 44180066304.

The previous prime is 142415653339. The next prime is 142415653351. The reversal of 142415653344 is 443356514241.

It is a junction number, because it is equal to n+sod(n) for n = 142415653296 and 142415653305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1841112 + ... + 1916904.

It is an arithmetic number, because the mean of its divisors is an integer number (2787286453).

Almost surely, 2142415653344 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 142415653344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200684624616).

142415653344 is an abundant number, since it is smaller than the sum of its proper divisors (258953595888).

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

142415653344 is a wasteful number, since it uses less digits than its factorization.

142415653344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75889 (or 75858 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 142415653344 in words is "one hundred forty-two billion, four hundred fifteen million, six hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 69 74 92 96 111 138 148 184 222 276 296 368 444 529 552 592 736 851 888 1058 1104 1184 1587 1702 1776 2116 2208 2553 3174 3404 3552 4232 5106 6348 6808 8464 10212 12696 13616 16928 19573 20424 25392 27232 39146 40848 50784 58719 75793 78292 81696 117438 151586 156584 227379 234876 303172 313168 454758 469752 606344 626336 909516 939504 1212688 1743239 1819032 1879008 2425376 2804341 3486478 3638064 5229717 5608682 6972956 7276128 8413023 10459434 11217364 13945912 16826046 20918868 22434728 27891824 33652092 40094497 41837736 44869456 55783648 64499843 67304184 80188994 83675472 89738912 120283491 128999686 134608368 160377988 167350944 193499529 240566982 257999372 269216736 320755976 386999058 481133964 515998744 641511952 773998116 962267928 1031997488 1283023904 1483496389 1547996232 1924535856 2063994976 2966992778 3095992464 3849071712 4450489167 5933985556 6191984928 8900978334 11867971112 17801956668 23735942224 35603913336 47471884448 71207826672 142415653344