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131244340144212 = 2232234110337534373
BaseRepresentation
bin11101110101110110110100…
…010001011110100001010100
3122012200211120201112002211200
4131311312310101132201110
5114200301402034103322
61143044452325432500
736434043045340131
oct3565666421364124
9565624521462750
10131244340144212
11389004595299a9
1212878047b6b730
135830399158cc9
14245a38d46b588
151028e76cce8ac
hex775db445e854

131244340144212 has 144 divisors (see below), whose sum is σ = 358067118060288. Its totient is φ = 40429022768640.

The previous prime is 131244340144153. The next prime is 131244340144213. The reversal of 131244340144212 is 212441043442131.

131244340144212 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 434 + 0 + 1 + 4 + 4 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131244340144213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15270543 + ... + 22263830.

It is an arithmetic number, because the mean of its divisors is an integer number (2486577208752).

Almost surely, 2131244340144212 is an apocalyptic number.

131244340144212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131244340144212 is an abundant number, since it is smaller than the sum of its proper divisors (226822777916076).

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

131244340144212 is a wasteful number, since it uses less digits than its factorization.

131244340144212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37534550 (or 37534545 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 131244340144212 its reverse (212441043442131), we get a palindrome (343685383586343).

The spelling of 131244340144212 in words is "one hundred thirty-one trillion, two hundred forty-four billion, three hundred forty million, one hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 103 123 138 164 206 207 246 276 309 369 412 414 492 618 738 828 927 943 1236 1476 1854 1886 2369 2829 3708 3772 4223 4738 5658 7107 8446 8487 9476 11316 12669 14214 16892 16974 21321 25338 28428 33948 38007 42642 50676 76014 85284 97129 152028 194258 291387 388516 582774 874161 1165548 1748322 3496644 37534373 75068746 112603119 150137492 225206238 337809357 450412476 675618714 863290579 1351237428 1538909293 1726581158 2589871737 3077818586 3453162316 3866040419 4616727879 5179743474 6155637172 7732080838 7769615211 9233455758 10359486948 11598121257 13850183637 15464161676 15539230422 18466911516 23196242514 27700367274 31078460844 34794363771 35394913739 46392485028 55400734548 69588727542 70789827478 88918929637 106184741217 139177455084 141579654956 158507657179 177837859274 212369482434 266756788911 317015314358 318554223651 355675718548 424738964868 475522971537 533513577822 634030628716 637108447302 800270366733 951045943074 1067027155644 1274216894604 1426568914611 1600540733466 1902091886148 2853137829222 3201081466932 3645676115117 5706275658444 7291352230234 10937028345351 14582704460468 21874056690702 32811085036053 43748113381404 65622170072106 131244340144212