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142005370896 = 243231210132
BaseRepresentation
bin1000010001000000101…
…1100000000000010000
3111120112121011021110100
42010100023200000100
54311311333332041
6145123015532400
713155011510454
oct2042013400020
9446477137410
10142005370896
1155251369a64
122363138a100
1310511199bac
146c31ac4664
153a61ce56b6
hex21102e0010

142005370896 has 135 divisors (see below), whose sum is σ = 411057065757. Its totient is φ = 45762963840.

The previous prime is 142005370879. The next prime is 142005370909. The reversal of 142005370896 is 698073500241.

The square root of 142005370896 is 376836.

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

142005370896 is a `hidden beast` number, since 1 + 4 + 20 + 0 + 537 + 0 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 280227600 + 141725143296 = 16740^2 + 376464^2 .

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, 140182486 + ... + 140183498.

It is a 1-persistent number, because it is pandigital, but 2⋅142005370896 = 284010741792 is not.

Almost surely, 2142005370896 is an apocalyptic number.

142005370896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

142005370896 is the 376836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142005370896

142005370896 is an abundant number, since it is smaller than the sum of its proper divisors (269051694861).

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

142005370896 is an equidigital number, since it uses as much as digits as its factorization.

142005370896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 142005370896 in words is "one hundred forty-two billion, five million, three hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 961 1013 1116 1488 1922 2026 2232 2883 3039 3844 4052 4464 5766 6078 7688 8104 8649 9117 11532 12156 15376 16208 17298 18234 23064 24312 31403 34596 36468 46128 48624 62806 69192 72936 94209 125612 138384 145872 188418 251224 282627 376836 502448 565254 753672 973493 1026169 1130508 1507344 1946986 2052338 2261016 2920479 3078507 3893972 4104676 4522032 5840958 6157014 7787944 8209352 8761437 9235521 11681916 12314028 15575888 16418704 17522874 18471042 23363832 24628056 31811239 35045748 36942084 46727664 49256112 63622478 70091496 73884168 95433717 127244956 140182992 147768336 190867434 254489912 286301151 381734868 508979824 572602302 763469736 986148409 1145204604 1526939472 1972296818 2290409208 2958445227 3944593636 4580818416 5916890454 7889187272 8875335681 11833780908 15778374544 17750671362 23667561816 35501342724 47335123632 71002685448 142005370896