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312141420231400 = 23526956212243617
BaseRepresentation
bin100011011111001000001011…
…0011110001111101011101000
31111221012102120021010210121201
41012332100112132033223220
5311403111112034401100
63023511442220413544
7122514321243566164
oct10676202636175350
91457172507123551
10312141420231400
1190504484235321
122b0131220a72b4
1310522a6a9999a6
145711a224ddca4
1526147abee036a
hex11be41678fae8

312141420231400 has 48 divisors (see below), whose sum is σ = 725730168784140. Its totient is φ = 124856332953600.

The previous prime is 312141420231383. The next prime is 312141420231409. The reversal of 312141420231400 is 4132024141213.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 28159133284324 + 283982286947076 = 5306518^2 + 16851774^2 .

It is not an unprimeable number, because it can be changed into a prime (312141420231409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138002392 + ... + 140246008.

Almost surely, 2312141420231400 is an apocalyptic number.

It is an amenable number.

312141420231400 is an abundant number, since it is smaller than the sum of its proper divisors (413588748552740).

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

312141420231400 is a wasteful number, since it uses less digits than its factorization.

312141420231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939254 (or 2939245 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 312141420231400 its reverse (4132024141213), we get a palindrome (316273444372613).

The spelling of 312141420231400 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 695621 1391242 2243617 2782484 3478105 4487234 5564968 6956210 8974468 11218085 13912420 17390525 17948936 22436170 27824840 34781050 44872340 56090425 69562100 89744680 112180850 139124200 224361700 448723400 1560707101157 3121414202314 6242828404628 7803535505785 12485656809256 15607071011570 31214142023140 39017677528925 62428284046280 78035355057850 156070710115700 312141420231400