Search a number
-
+
234215456546412 = 22341171843914731
BaseRepresentation
bin110101010000010010001001…
…000101101001111001101100
31010201021210000212112010010000
4311100102021011221321230
5221144341223333441122
62150045032332144300
7100222336232316525
oct6520221105517154
91121253025463100
10234215456546412
11686a0243266270
1222328636608090
13a08c565b11373
1441ba1350d984c
151c127351e00ac
hexd50489169e6c

234215456546412 has 120 divisors (see below), whose sum is σ = 667957811032512. Its totient is φ = 70973315272800.

The previous prime is 234215456546377. The next prime is 234215456546413. The reversal of 234215456546412 is 214645654512432.

234215456546412 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 1 + 5 + 4 + 56 + 546 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (234215456546413) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 255591087 + ... + 256505817.

Almost surely, 2234215456546412 is an apocalyptic number.

234215456546412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234215456546412 is an abundant number, since it is smaller than the sum of its proper divisors (433742354486100).

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

234215456546412 is a wasteful number, since it uses less digits than its factorization.

234215456546412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986601 (or 986590 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 234215456546412 in words is "two hundred thirty-four trillion, two hundred fifteen billion, four hundred fifty-six million, five hundred forty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 71843 143686 215529 287372 431058 646587 790273 862116 914731 1293174 1580546 1829462 1939761 2370819 2586348 2744193 3161092 3658924 3879522 4741638 5488386 5819283 7112457 7759044 8232579 9483276 10062041 10976772 11638566 14224914 16465158 20124082 21337371 23277132 24697737 28449828 30186123 32930316 40248164 42674742 49395474 60372246 64012113 74093211 85349484 90558369 98790948 120744492 128024226 148186422 181116738 256048452 271675107 296372844 362233476 543350214 815025321 1086700428 1630050642 3260101284 65717019233 131434038466 197151057699 262868076932 394302115398 591453173097 722887211563 788604230796 1182906346194 1445774423126 1774359519291 2168661634689 2365812692388 2891548846252 3548719038582 4337323269378 5323078557873 6505984904067 7097438077164 8674646538756 10646157115746 13011969808134 19517954712201 21292314231492 26023939616268 39035909424402 58553864136603 78071818848804 117107728273206 234215456546412