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312141421401420 = 223513230783177653
BaseRepresentation
bin100011011111001000001011…
…0100010101101010101001100
31111221012102120100100020120210
41012332100112202231111030
5311403111112334321140
63023511442301442420
7122514321256541262
oct10676202642552514
91457172510306523
10312141421401420
1190504484964386
122b013122570410
1310522a6acb9400
145711a22726432
1526147ac171d80
hex11be4168ad54c

312141421401420 has 72 divisors (see below), whose sum is σ = 946398013794576. Its totient is φ = 76834811419392.

The previous prime is 312141421401373. The next prime is 312141421401461. The reversal of 312141421401420 is 24104124141213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15391578687 + ... + 15391598966.

It is an arithmetic number, because the mean of its divisors is an integer number (13144416858258).

Almost surely, 2312141421401420 is an apocalyptic number.

312141421401420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312141421401420 is an abundant number, since it is smaller than the sum of its proper divisors (634256592393156).

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

312141421401420 is a wasteful number, since it uses less digits than its factorization.

312141421401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30783177691 (or 30783177676 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 312141421401420 its reverse (24104124141213), we get a palindrome (336245545542633).

The spelling of 312141421401420 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred twenty-one million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 30783177653 61566355306 92349532959 123132710612 153915888265 184699065918 307831776530 369398131836 400181309489 461747664795 615663553060 800362618978 923495329590 1200543928467 1600725237956 1846990659180 2000906547445 2401087856934 4001813094890 4802175713868 5202357023357 6002719642335 8003626189780 10404714046714 12005439284670 15607071070071 20809428093428 24010878569340 26011785116785 31214142140142 52023570233570 62428284280284 78035355350355 104047140467140 156070710700710 312141421401420