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235201142304 = 25321748039449
BaseRepresentation
bin1101101100001100010…
…1001001111000100000
3211111002120102222210200
43123003011021320200
512323142443023204
6300014440425200
722664334503022
oct3330305117040
9744076388720
10235201142304
1190825a05447
1239700478200
131924410a06b
14b5531ca012
1561b89d7539
hex36c3149e20

235201142304 has 72 divisors (see below), whose sum is σ = 708197571900. Its totient is φ = 73788592128.

The previous prime is 235201142279. The next prime is 235201142431. The reversal of 235201142304 is 403241102532.

235201142304 is a `hidden beast` number, since 2 + 3 + 520 + 114 + 23 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 223210892304 + 11990250000 = 472452^2 + 109500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2352011423042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24014829 + ... + 24024620.

Almost surely, 2235201142304 is an apocalyptic number.

235201142304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

235201142304 is an abundant number, since it is smaller than the sum of its proper divisors (472996429596).

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

235201142304 is a wasteful number, since it uses less digits than its factorization.

235201142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48039482 (or 48039471 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 235201142304 its reverse (403241102532), we get a palindrome (638442244836).

The spelling of 235201142304 in words is "two hundred thirty-five billion, two hundred one million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 48039449 96078898 144118347 192157796 288236694 384315592 432355041 576473388 768631184 816670633 864710082 1152946776 1537262368 1633341266 1729420164 2305893552 2450011899 3266682532 3458840328 4611787104 4900023798 6533365064 6917680656 7350035697 9800047596 13066730128 13835361312 14700071394 19600095192 26133460256 29400142788 39200190384 58800285576 78400380768 117600571152 235201142304