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142551553600 = 265294392
BaseRepresentation
bin1000010011000010111…
…1000001011001000000
3111121221122220020021101
42010300233001121000
54313421144203400
6145253130304144
713204363133041
oct2046057013100
9447848806241
10142551553600
11555016aa125
1223764288054
131059a3a1a21
146c8445c8c8
153a94c3256a
hex2130bc1640

142551553600 has 63 divisors (see below), whose sum is σ = 350803081857. Its totient is φ = 57014580480.

The previous prime is 142551553583. The next prime is 142551553607. The reversal of 142551553600 is 6355155241.

It is a happy number.

The square root of 142551553600 is 377560.

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

It can be written as a sum of positive squares in only one way, i.e., 51318559296 + 91232994304 = 226536^2 + 302048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142551553600.

It is not an unprimeable number, because it can be changed into a prime (142551553607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15097681 + ... + 15107119.

Almost surely, 2142551553600 is an apocalyptic number.

142551553600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142551553600 is the 377560-th square number.

It is an amenable number.

142551553600 is an abundant number, since it is smaller than the sum of its proper divisors (208251528257).

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

142551553600 is an frugal number, since it uses more digits than its factorization.

142551553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18900 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 142551553600 in words is "one hundred forty-two billion, five hundred fifty-one million, five hundred fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 9439 18878 37756 47195 75512 94390 151024 188780 235975 302048 377560 471950 604096 755120 943900 1510240 1887800 3020480 3775600 7551200 15102400 89094721 178189442 356378884 445473605 712757768 890947210 1425515536 1781894420 2227368025 2851031072 3563788840 4454736050 5702062144 7127577680 8909472100 14255155360 17818944200 28510310720 35637888400 71275776800 142551553600