Search a number
-
+
230214201404310 = 232561139301678921
BaseRepresentation
bin110100010110000011101011…
…101100100110101110010110
31010012010021002112001120220100
4310112003223230212232112
5220133312141024414220
62133342535532114530
766330266343633114
oct6426035354465626
91105107075046810
10230214201404310
1167398327025882
12219a107a305a46
139b5c14bc856c6
1440bc5d91d4ab4
151b935ede55d90
hexd160ebb26b96

230214201404310 has 96 divisors (see below), whose sum is σ = 612746092052640. Its totient is φ = 59949634982400.

The previous prime is 230214201404263. The next prime is 230214201404329. The reversal of 230214201404310 is 13404102412032.

230214201404310 is a `hidden beast` number, since 2 + 3 + 0 + 21 + 4 + 201 + 4 + 0 + 431 + 0 = 666.

It is a super-2 number, since 2×2302142014043102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150076351 + ... + 151602570.

It is an arithmetic number, because the mean of its divisors is an integer number (6382771792215).

Almost surely, 2230214201404310 is an apocalyptic number.

230214201404310 is an abundant number, since it is smaller than the sum of its proper divisors (382531890648330).

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

230214201404310 is a wasteful number, since it uses less digits than its factorization.

230214201404310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301679134 (or 301679131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 230214201404310 its reverse (13404102412032), we get a palindrome (243618303816342).

The spelling of 230214201404310 in words is "two hundred thirty trillion, two hundred fourteen billion, two hundred one million, four hundred four thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 139 183 278 305 366 417 549 610 695 834 915 1098 1251 1390 1830 2085 2502 2745 4170 5490 6255 8479 12510 16958 25437 42395 50874 76311 84790 127185 152622 254370 381555 763110 301678921 603357842 905036763 1508394605 1810073526 2715110289 3016789210 4525183815 5430220578 9050367630 13575551445 18402414181 27151102890 36804828362 41933370019 55207242543 83866740038 92012070905 110414485086 125800110057 165621727629 184024141810 209666850095 251600220114 276036212715 331243455258 377400330171 419333700190 552072425430 629000550285 754800660342 828108638145 1258001100570 1656217276290 1887001650855 2557935571159 3774003301710 5115871142318 7673806713477 12789677855795 15347613426954 23021420140431 25579355711590 38369033567385 46042840280862 76738067134770 115107100702155 230214201404310