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31414222140420 = 22357355092106389
BaseRepresentation
bin1110010010010001100011…
…00011010011010000000100
311010020011121011011010220110
413021020301203103100010
513104142311331443140
6150451254443433020
76421413465264420
oct711106143232004
9133204534133813
1031414222140420
11a0117734819a9
123634353525770
13146b46b691a12
147a8656775b80
153972517eb380
hex1c92318d3404

31414222140420 has 96 divisors (see below), whose sum is σ = 100528389561600. Its totient is φ = 7180188009984.

The previous prime is 31414222140409. The next prime is 31414222140473. The reversal of 31414222140420 is 2404122241413.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13860586 + ... + 15966974.

It is an arithmetic number, because the mean of its divisors is an integer number (1047170724600).

Almost surely, 231414222140420 is an apocalyptic number.

31414222140420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31414222140420 is an abundant number, since it is smaller than the sum of its proper divisors (69114167421180).

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

31414222140420 is a wasteful number, since it uses less digits than its factorization.

31414222140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141917 (or 2141915 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 31414222140420 its reverse (2404122241413), we get a palindrome (33818344381833).

The spelling of 31414222140420 in words is "thirty-one trillion, four hundred fourteen billion, two hundred twenty-two million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 35509 71018 106527 142036 177545 213054 248563 355090 426108 497126 532635 710180 745689 994252 1065270 1242815 1491378 2106389 2130540 2485630 2982756 3728445 4212778 4971260 6319167 7456890 8425556 10531945 12638334 14744723 14913780 21063890 25276668 29489446 31595835 42127780 44234169 58978892 63191670 73723615 88468338 126383340 147447230 176936676 221170845 294894460 442341690 884683380 74795767001 149591534002 224387301003 299183068004 373978835005 448774602006 523570369007 747957670010 897549204012 1047140738014 1121936505015 1495915340020 1570711107021 2094281476028 2243873010030 2617851845035 3141422214042 4487746020060 5235703690070 6282844428084 7853555535105 10471407380140 15707111070210 31414222140420