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312142211210434 = 21122833725362773
BaseRepresentation
bin100011011111001000100010…
…1100111100101110011000010
31111221012111121101111200212111
41012332101011213211303002
5311403114222032213214
63023512052514045534
7122514346660031413
oct10676210547456302
91457174541450774
10312142211210434
119050484a774600
122b013302b798aa
1310522b65811817
145711a9959b80a
1526148066845c4
hex11be4459e5cc2

312142211210434 has 48 divisors (see below), whose sum is σ = 514908541228536. Its totient is φ = 141810926906880.

The previous prime is 312142211210411. The next prime is 312142211210441. The reversal of 312142211210434 is 434012112241213.

It can be written as a sum of positive squares in 4 ways, for example, as 308820978329809 + 3321232880625 = 17573303^2 + 1822425^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312142211210396 and 312142211210405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4972523872 + ... + 4972586644.

Almost surely, 2312142211210434 is an apocalyptic number.

312142211210434 is a deficient number, since it is larger than the sum of its proper divisors (202766330018102).

312142211210434 is a wasteful number, since it uses less digits than its factorization.

312142211210434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72883 (or 72872 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 312142211210434 its reverse (434012112241213), we get a palindrome (746154323451647).

The spelling of 312142211210434 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred eleven million, two hundred ten thousand, four hundred thirty-four".

Divisors: 1 2 11 22 121 242 2833 5666 7253 14506 31163 62326 62773 79783 125546 159566 342793 685586 690503 877613 1381006 1755226 7595533 15191066 20547749 41095498 177835909 226025239 355671818 452050478 455292569 910585138 1956194999 2486277629 3912389998 4972555258 5008218259 10016436518 21518144989 43036289978 55090400849 110180801698 1289843847977 2579687695954 14188282327747 28376564655494 156071105605217 312142211210434