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235124130816 = 2103250512
BaseRepresentation
bin1101101011111001111…
…1011000010000000000
3211110220012112101220100
43122332133120100000
512323013234141231
6300003050042400
722662411064521
oct3327637302000
9743805471810
10235124130816
1190796495593
123969a719400
1319231185033
14b546ca0848
1561b1d741e6
hex36be7d8400

235124130816 has 99 divisors (see below), whose sum is σ = 679050263983. Its totient is φ = 78359193600.

The previous prime is 235124130803. The next prime is 235124130823. The reversal of 235124130816 is 618031421532.

The square root of 235124130816 is 484896.

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

235124130816 is a `hidden beast` number, since 2 + 3 + 512 + 4 + 130 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 46547491 + ... + 46552541.

Almost surely, 2235124130816 is an apocalyptic number.

235124130816 is the 484896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235124130816

235124130816 is an abundant number, since it is smaller than the sum of its proper divisors (443926133167).

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

235124130816 is an frugal number, since it uses more digits than its factorization.

235124130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 235124130816 by its sum of digits (36), we get a square (8464468709376 = 29093762).

235124130816 divided by its sum of digits (36) gives a square (6531225856 = 808162).

It can be divided in two parts, 235124 and 130816, that added together give a triangular number (365940 = T855).

The spelling of 235124130816 in words is "two hundred thirty-five billion, one hundred twenty-four million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 5051 9216 10102 15153 20204 30306 40408 45459 60612 80816 90918 121224 161632 181836 242448 323264 363672 484896 646528 727344 969792 1293056 1454688 1939584 2586112 2909376 3879168 5172224 5818752 7758336 11637504 15516672 23275008 25512601 46550016 51025202 76537803 102050404 153075606 204100808 229613409 306151212 408201616 459226818 612302424 816403232 918453636 1224604848 1632806464 1836907272 2449209696 3265612928 3673814544 4898419392 6531225856 7347629088 9796838784 13062451712 14695258176 19593677568 26124903424 29390516352 39187355136 58781032704 78374710272 117562065408 235124130816