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142205412536 = 231137418911969
BaseRepresentation
bin1000010001110000011…
…0100110010010111000
3111121001112120102222222
42010130012212102320
54312214041200121
6145154523303212
713162661030315
oct2043406462270
9447045512888
10142205412536
1155344280230
122368837ab08
131054376a125
146c504b7d0c
153a7465c0ab
hex211c1a64b8

142205412536 has 128 divisors (see below), whose sum is σ = 309486744000. Its totient is φ = 60663398400.

The previous prime is 142205412521. The next prime is 142205412553. The reversal of 142205412536 is 635214502241.

It is a junction number, because it is equal to n+sod(n) for n = 142205412496 and 142205412505.

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, 11875160 + ... + 11887128.

Almost surely, 2142205412536 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 142205412536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154743372000).

142205412536 is an abundant number, since it is smaller than the sum of its proper divisors (167281331464).

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

142205412536 is a wasteful number, since it uses less digits than its factorization.

142205412536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153 (or 12149 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 142205412536 its reverse (635214502241), we get a palindrome (777419914777).

The spelling of 142205412536 in words is "one hundred forty-two billion, two hundred five million, four hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 22 37 41 44 74 82 88 89 148 164 178 296 328 356 407 451 712 814 902 979 1517 1628 1804 1958 3034 3256 3293 3608 3649 3916 6068 6586 7298 7832 11969 12136 13172 14596 16687 23938 26344 29192 33374 36223 40139 47876 66748 72446 80278 95752 131659 133496 135013 144892 160556 263318 270026 289784 321112 442853 490729 526636 540052 885706 981458 1053272 1065241 1080104 1485143 1771412 1962916 2130482 2970286 3542824 3925832 4260964 4871383 5398019 5940572 8521928 9742766 10796038 11717651 11881144 18156973 19485532 21592076 23435302 36313946 38971064 39413917 43184152 43674881 46870604 72627892 78827834 87349762 93741208 145255784 157655668 174699524 199726703 315311336 349399048 399453406 433553087 480423691 798906812 867106174 960847382 1597813624 1615970597 1734212348 1921694764 3231941194 3468424696 3843389528 6463882388 12927764776 17775676567 35551353134 71102706268 142205412536