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142288892944 = 2411285732
BaseRepresentation
bin1000010010000100010…
…1000011010000010000
3111121021100122200120221
42010201011003100100
54312401424033234
6145211104442424
713165023430402
oct2044105032020
9447240580527
10142288892944
1155387409300
12236b0319414
1310557b48713
146c5b608b72
153a7bb4beb4
hex2121143410

142288892944 has 45 divisors (see below), whose sum is σ = 303060715069. Its totient is φ = 64669225280.

The previous prime is 142288892813. The next prime is 142288892969. The reversal of 142288892944 is 449298882241.

The square root of 142288892944 is 377212.

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., 46010250000 + 96278642944 = 214500^2 + 310288^2 .

It is a super-2 number, since 2×1422888929442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16593042 + ... + 16601614.

Almost surely, 2142288892944 is an apocalyptic number.

142288892944 is the 377212-nd square number.

It is an amenable number.

142288892944 is an abundant number, since it is smaller than the sum of its proper divisors (160771822125).

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

142288892944 is an frugal number, since it uses more digits than its factorization.

142288892944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17176 (or 8586 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 61.

The spelling of 142288892944 in words is "one hundred forty-two billion, two hundred eighty-eight million, eight hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 8573 17146 34292 68584 94303 137168 188606 377212 754424 1037333 1508848 2074666 4149332 8298664 16597328 73496329 146992658 293985316 587970632 808459619 1175941264 1616919238 3233838476 6467676952 8893055809 12935353904 17786111618 35572223236 71144446472 142288892944