Search a number
-
+
42289988655288 = 233112918911292093
BaseRepresentation
bin10011001110110011001111…
…10000000101100010111000
312112201212212000120212212210
421213121213300011202320
521020334344043432123
6225535430320335120
711623231225332303
oct1147314760054270
9175655760525783
1042289988655288
11125250a1109750
1248b00bb7744a0
131a79c0c7ca60a
14a62bbc633b3a
154d50d6508e93
hex267667c058b8

42289988655288 has 128 divisors (see below), whose sum is σ = 119320165324800. Its totient is φ = 12372549772800.

The previous prime is 42289988655269. The next prime is 42289988655311. The reversal of 42289988655288 is 88255688998224.

It is a self number, because there is not a number n which added to its sum of digits gives 42289988655288.

It is a congruent number.

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, 144636570 + ... + 144928662.

It is an arithmetic number, because the mean of its divisors is an integer number (932188791600).

Almost surely, 242289988655288 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 42289988655288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59660082662400).

42289988655288 is an abundant number, since it is smaller than the sum of its proper divisors (77030176669512).

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

42289988655288 is a wasteful number, since it uses less digits than its factorization.

42289988655288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311053 (or 311049 counting only the distinct ones).

The product of its digits is 12740198400, while the sum is 84.

The spelling of 42289988655288 in words is "forty-two trillion, two hundred eighty-nine billion, nine hundred eighty-eight million, six hundred fifty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3828 7656 18911 37822 56733 75644 113466 151288 208021 226932 292093 416042 453864 548419 584186 624063 832084 876279 1096838 1168372 1248126 1645257 1664168 1752558 2193676 2336744 2496252 3213023 3290514 3505116 4387352 4992504 6032609 6426046 6581028 7010232 8470697 9639069 12065218 12852092 13162056 16941394 18097827 19278138 24130436 25412091 25704184 33882788 36195654 38556276 48260872 50824182 67765576 72391308 77112552 93177667 101648364 144782616 186355334 203296728 279533001 372710668 559066002 745421336 1118132004 2236264008 5523770723 11047541446 16571312169 22095082892 33142624338 44190165784 60761477953 66285248676 121522955906 132570497352 160189350967 182284433859 243045911812 320378701934 364568867718 480568052901 486091823624 640757403868 729137735436 961136105802 1281514807736 1458275470872 1762082860637 1922272211604 3524165721274 3844544423208 5286248581911 7048331442548 10572497163822 14096662885096 21144994327644 42289988655288