Search a number
-
+
142111413120 = 273574016361
BaseRepresentation
bin1000010001011010000…
…0000001001110000000
3111120210222200210001010
42010112200001032000
54312021010204440
6145141324440520
713160440036455
oct2042640011600
9446728623033
10142111413120
11552a6208066
12236609a9140
131052a147981
146c41c0982c
153a6b290580
hex2116801380

142111413120 has 64 divisors (see below), whose sum is σ = 452980135440. Its totient is φ = 37896376320.

The previous prime is 142111413053. The next prime is 142111413133. The reversal of 142111413120 is 21314111241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37006261 + ... + 37010100.

Almost surely, 2142111413120 is an apocalyptic number.

142111413120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142111413120 is an abundant number, since it is smaller than the sum of its proper divisors (310868722320).

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

142111413120 is an equidigital number, since it uses as much as digits as its factorization.

142111413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74016383 (or 74016371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 142111413120 its reverse (21314111241), we get a palindrome (163425524361).

The spelling of 142111413120 in words is "one hundred forty-two billion, one hundred eleven million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 74016361 148032722 222049083 296065444 370081805 444098166 592130888 740163610 888196332 1110245415 1184261776 1480327220 1776392664 2220490830 2368523552 2960654440 3552785328 4440981660 4737047104 5921308880 7105570656 8881963320 9474094208 11842617760 14211141312 17763926640 23685235520 28422282624 35527853280 47370471040 71055706560 142111413120