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312413114014342 = 211210717988176507
BaseRepresentation
bin100011100001000110101100…
…0101011110001101010000110
31111222011101212001221000101021
41013002031120223301222012
5311422034024141424332
63024240334145221354
7122543050126622425
oct10702153053615206
91458141761830337
10312413114014342
11905a97262a4800
122b05790793185a
1310542579314023
145720c381412bc
15261b8ae5ebc97
hex11c2358af1a86

312413114014342 has 96 divisors (see below), whose sum is σ = 523413103167360. Its totient is φ = 139732272134400.

The previous prime is 312413114014327. The next prime is 312413114014349. The reversal of 312413114014342 is 243410411314213.

It is a junction number, because it is equal to n+sod(n) for n = 312413114014298 and 312413114014307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312413114014349) 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, 4083419653 + ... + 4083496159.

It is an arithmetic number, because the mean of its divisors is an integer number (5452219824660).

Almost surely, 2312413114014342 is an apocalyptic number.

312413114014342 is a deficient number, since it is larger than the sum of its proper divisors (210999989153018).

312413114014342 is a wasteful number, since it uses less digits than its factorization.

312413114014342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77698 (or 77687 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 312413114014342 its reverse (243410411314213), we get a palindrome (555823525328555).

The spelling of 312413114014342 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred fourteen million, fourteen thousand, three hundred forty-two".

Divisors: 1 2 11 22 107 121 179 214 242 358 881 1177 1762 1969 2354 3938 9691 12947 19153 19382 21659 25894 38306 43318 76507 94267 106601 153014 157699 188534 210683 213202 315398 421366 841577 1036937 1683154 1734689 2073874 2317513 3469378 4635026 8186249 9257347 11406307 13694753 16372498 16873793 18514694 19081579 22812614 27389506 33747586 38163158 67402667 90048739 134805334 150642283 180097478 185611723 301284566 371223446 741429337 990536129 1465338571 1482858674 1657065113 1981072258 2041728953 2930677142 3314130226 4083457906 7212085369 8155722707 12065077393 14424170738 16118724281 16311445414 24130154786 32237448562 79332939059 132715851323 158665878118 177305967091 265431702646 354611934182 872662329649 1290963281051 1459874364553 1745324659298 2581926562102 2919748729106 14200596091561 28401192183122 156206557007171 312413114014342