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142337691648 = 2123213612837
BaseRepresentation
bin1000010010001111111…
…1001101000000000000
3111121101202110220211100
42010203333031000000
54313001422113043
6145220010414400
713166155262565
oct2044377150000
9447352426740
10142337691648
1155401a09509
1223704731400
1310564ca30a9
146c63cac86c
153a8108acd3
hex2123fcd000

142337691648 has 156 divisors (see below), whose sum is σ = 411594702948. Its totient is φ = 47394324480.

The previous prime is 142337691599. The next prime is 142337691667. The reversal of 142337691648 is 846196733241.

142337691648 is a `hidden beast` number, since 1 + 423 + 3 + 76 + 91 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12875894784 + 129461796864 = 113472^2 + 359808^2 .

It is a super-2 number, since 2×1423376916482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142337691594 and 142337691603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50170486 + ... + 50173322.

It is an arithmetic number, because the mean of its divisors is an integer number (2638427583).

Almost surely, 2142337691648 is an apocalyptic number.

142337691648 is a gapful number since it is divisible by the number (18) 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 142337691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205797351474).

142337691648 is an abundant number, since it is smaller than the sum of its proper divisors (269257011300).

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

142337691648 is a wasteful number, since it uses less digits than its factorization.

142337691648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4203 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 142337691648 in words is "one hundred forty-two billion, three hundred thirty-seven million, six hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1361 1536 2048 2304 2722 2837 3072 4083 4096 4608 5444 5674 6144 8166 8511 9216 10888 11348 12249 12288 16332 17022 18432 21776 22696 24498 25533 32664 34044 36864 43552 45392 48996 51066 65328 68088 87104 90784 97992 102132 130656 136176 174208 181568 195984 204264 261312 272352 348416 363136 391968 408528 522624 544704 696832 726272 783936 817056 1045248 1089408 1393664 1452544 1567872 1634112 2090496 2178816 2787328 2905088 3135744 3268224 3861157 4180992 4357632 5574656 5810176 6271488 6536448 7722314 8361984 8715264 11583471 11620352 12542976 13072896 15444628 16723968 17430528 23166942 25085952 26145792 30889256 34750413 34861056 46333884 50171904 52291584 61778512 69500826 92667768 104583168 123557024 139001652 185335536 247114048 278003304 370671072 494228096 556006608 741342144 988456192 1112013216 1482684288 1976912384 2224026432 2965368576 3953824768 4448052864 5930737152 7907649536 8896105728 11861474304 15815299072 17792211456 23722948608 35584422912 47445897216 71168845824 142337691648