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142151620900 = 225237210192
BaseRepresentation
bin1000010001100011100…
…1011001100100100100
3111120220210100112202011
42010120321121210210
54312111303332100
6145145322324004
713161435561352
oct2043071314444
9446823315664
10142151620900
115531697a833
1223672359604
1310535584c63
146c472b47d2
153a6ea83bba
hex2118e59924

142151620900 has 81 divisors (see below), whose sum is σ = 317342767539. Its totient is φ = 55269581760.

The previous prime is 142151620889. The next prime is 142151620951. The reversal of 142151620900 is 9026151241.

The square root of 142151620900 is 377030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13494539556 + 128657081344 = 116166^2 + 358688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139500591 + ... + 139501609.

Almost surely, 2142151620900 is an apocalyptic number.

142151620900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142151620900 is the 377030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142151620900

142151620900 is an abundant number, since it is smaller than the sum of its proper divisors (175191146639).

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

142151620900 is an equidigital number, since it uses as much as digits as its factorization.

142151620900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 142151620900 in words is "one hundred forty-two billion, one hundred fifty-one million, six hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1019 1369 1850 2038 2738 3700 4076 5095 5476 6845 10190 13690 20380 25475 27380 34225 37703 50950 68450 75406 101900 136900 150812 188515 377030 754060 942575 1038361 1395011 1885150 2076722 2790022 3770300 4153444 5191805 5580044 6975055 10383610 13950110 20767220 25959025 27900220 34875275 38419357 51918050 69750550 76838714 103836100 139501100 153677428 192096785 384193570 768387140 960483925 1421516209 1920967850 2843032418 3841935700 5686064836 7107581045 14215162090 28430324180 35537905225 71075810450 142151620900