Search a number
-
+
31415211420 = 22351946759009
BaseRepresentation
bin11101010000011111…
…100001010110011100
310000002101021002110220
4131100133201112130
51003314243231140
622233145001340
72161332614445
oct352037412634
9100071232426
1031415211420
111236108234a
126108a83250
132c6863b4c8
14174039a2cc
15c3cec5bd0
hex7507e159c

31415211420 has 96 divisors (see below), whose sum is σ = 92792044800. Its totient is φ = 7919345664.

The previous prime is 31415211403. The next prime is 31415211431. The reversal of 31415211420 is 2411251413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502876 + ... + 561884.

It is an arithmetic number, because the mean of its divisors is an integer number (966583800).

Almost surely, 231415211420 is an apocalyptic number.

31415211420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31415211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46396022400).

31415211420 is an abundant number, since it is smaller than the sum of its proper divisors (61376833380).

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

31415211420 is a wasteful number, since it uses less digits than its factorization.

31415211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59507 (or 59505 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 31415211420 its reverse (2411251413), we get a palindrome (33826462833).

The spelling of 31415211420 in words is "thirty-one billion, four hundred fifteen million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 467 570 934 1140 1401 1868 2335 2802 4670 5604 7005 8873 9340 14010 17746 26619 28020 35492 44365 53238 59009 88730 106476 118018 133095 177027 177460 236036 266190 295045 354054 532380 590090 708108 885135 1121171 1180180 1770270 2242342 3363513 3540540 4484684 5605855 6727026 11211710 13454052 16817565 22423420 27557203 33635130 55114406 67270260 82671609 110228812 137786015 165343218 275572030 330686436 413358045 523586857 551144060 826716090 1047173714 1570760571 1653432180 2094347428 2617934285 3141521142 5235868570 6283042284 7853802855 10471737140 15707605710 31415211420