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312213034042014 = 237216131782736931
BaseRepresentation
bin100011011111101001100001…
…0111111010000001010011110
31111221110021102011011022110210
41012333103002333100022132
5311410244243203321024
63024004404321113250
7122522435015126100
oct10677230277201236
91457407364138423
10312213034042014
1190531893381176
122b024b89488826
1310529741574261
1457152975a3570
15261659e12c129
hex11bf4c2fd029e

312213034042014 has 96 divisors (see below), whose sum is σ = 726883958215296. Its totient is φ = 89141006485440.

The previous prime is 312213034042003. The next prime is 312213034042031. The reversal of 312213034042014 is 410240430312213.

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, 8453937129 + ... + 8453974059.

It is an arithmetic number, because the mean of its divisors is an integer number (7571707898076).

Almost surely, 2312213034042014 is an apocalyptic number.

312213034042014 is an abundant number, since it is smaller than the sum of its proper divisors (414670924173282).

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

312213034042014 is a wasteful number, since it uses less digits than its factorization.

312213034042014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56390 (or 56383 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312213034042014 its reverse (410240430312213), we get a palindrome (722453464354227).

The spelling of 312213034042014 in words is "three hundred twelve trillion, two hundred thirteen billion, thirty-four million, forty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1613 3226 4839 9678 11291 17827 22582 33873 35654 36931 53481 67746 73862 79037 106962 110793 124789 158074 221586 237111 249578 258517 374367 474222 517034 748734 775551 873523 1551102 1747046 1809619 2620569 3619238 5241138 5428857 10857714 28754951 57509902 59569703 86264853 119139406 172529706 178709109 201284657 357418218 402569314 416987921 603853971 658368937 833975842 1207707942 1250963763 1316737874 1408992599 1975106811 2501927526 2817985198 2918915447 3950213622 4226977797 4608582559 5837830894 8453955594 8756746341 9217165118 13825747677 17513492682 27651495354 32260077913 64520155826 96780233739 193560467478 1061949095381 2123898190762 3185847286143 6371694572286 7433643667667 14867287335334 22300931003001 44601862006002 52035505673669 104071011347338 156106517021007 312213034042014