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230293495128 = 233171037517297
BaseRepresentation
bin1101011001111010001…
…1111101110101011000
3211000102112211200111110
43112132203331311120
512233120113321003
6253443444500320
722431613260534
oct3263643756530
9730375750443
10230293495128
1189737746494
12387709aa6a0
1318941445318
14b2094c8bc4
155eccc24a03
hex359e8fdd58

230293495128 has 128 divisors (see below), whose sum is σ = 616422942720. Its totient is φ = 71442432000.

The previous prime is 230293495099. The next prime is 230293495141. The reversal of 230293495128 is 821594392032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31556376 + ... + 31563672.

It is an arithmetic number, because the mean of its divisors is an integer number (4815804240).

Almost surely, 2230293495128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230293495128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308211471360).

230293495128 is an abundant number, since it is smaller than the sum of its proper divisors (386129447592).

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

230293495128 is a wasteful number, since it uses less digits than its factorization.

230293495128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8177 (or 8173 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 230293495128 in words is "two hundred thirty billion, two hundred ninety-three million, four hundred ninety-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 309 408 412 618 751 824 1236 1502 1751 2253 2472 3004 3502 4506 5253 6008 7004 7297 9012 10506 12767 14008 14594 18024 21012 21891 25534 29188 38301 42024 43782 51068 58376 76602 77353 87564 102136 124049 153204 154706 175128 232059 248098 306408 309412 372147 464118 496196 618824 744294 751591 928236 992392 1315001 1488588 1503182 1856472 2254773 2630002 2977176 3006364 3945003 4509546 5260004 5480047 6012728 7890006 9019092 10520008 10960094 12777047 15780012 16440141 18038184 21920188 25554094 31560024 32880282 38331141 43840376 51108188 65760564 76662282 93160799 102216376 131521128 153324564 186321598 279482397 306649128 372643196 558964794 564444841 745286392 1117929588 1128889682 1693334523 2235859176 2257779364 3386669046 4515558728 6773338092 9595562297 13546676184 19191124594 28786686891 38382249188 57573373782 76764498376 115146747564 230293495128