Search a number
-
+
142232344512 = 2634719498087
BaseRepresentation
bin1000010001110110110…
…1010101011111000000
3111121010102020201201120
42010131231111133000
54312242440011022
6145201324432240
713163435660226
oct2043555253700
9447112221646
10142232344512
11553584a5665
12236953a8680
13105492097cb
146c53cc8b16
153a76bcbd5c
hex211db557c0

142232344512 has 112 divisors (see below), whose sum is σ = 384574694400. Its totient is φ = 46372498432.

The previous prime is 142232344481. The next prime is 142232344537. The reversal of 142232344512 is 215443232241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17583733 + ... + 17591819.

Almost surely, 2142232344512 is an apocalyptic number.

142232344512 is a gapful number since it is divisible by the number (12) 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 142232344512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192287347200).

142232344512 is an abundant number, since it is smaller than the sum of its proper divisors (242342349888).

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

142232344512 is a wasteful number, since it uses less digits than its factorization.

142232344512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098 (or 10088 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 142232344512 its reverse (215443232241), we get a palindrome (357675576753).

The spelling of 142232344512 in words is "one hundred forty-two billion, two hundred thirty-two million, three hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 1949 2256 3008 3898 4512 5847 7796 8087 9024 11694 15592 16174 23388 24261 31184 32348 46776 48522 62368 64696 91603 93552 97044 124736 129392 183206 187104 194088 258784 274809 366412 374208 380089 388176 517568 549618 732824 760178 776352 1099236 1140267 1465648 1520356 1552704 2198472 2280534 2931296 3040712 4396944 4561068 5862592 6081424 8793888 9122136 12162848 15761563 17587776 18244272 24325696 31523126 36488544 47284689 63046252 72977088 94569378 126092504 189138756 252185008 378277512 504370016 740793461 756555024 1008740032 1481586922 1513110048 2222380383 2963173844 3026220096 4444760766 5926347688 8889521532 11852695376 17779043064 23705390752 35558086128 47410781504 71116172256 142232344512