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31412020314040 = 23516012333210247
BaseRepresentation
bin1110010010001101011100…
…10011111111111110111000
311010012221220201000202221021
413021012232103333332320
513104123304200022130
6150450252150552224
76421305101130502
oct711065623777670
9133187821022837
1031412020314040
11a010843615183
123633a3a068674
13146b1aa470c82
147a84c8180d72
1539717336d37a
hex1c91ae4fffb8

31412020314040 has 64 divisors (see below), whose sum is σ = 70751841197760. Its totient is φ = 12551518003200.

The previous prime is 31412020314013. The next prime is 31412020314043. The reversal of 31412020314040 is 4041302021413.

It is a super-2 number, since 2×314120203140402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31412020313996 and 31412020314014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31412020314043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149300197 + ... + 149510443.

It is an arithmetic number, because the mean of its divisors is an integer number (1105497518715).

Almost surely, 231412020314040 is an apocalyptic number.

It is an amenable number.

31412020314040 is an abundant number, since it is smaller than the sum of its proper divisors (39339820883720).

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

31412020314040 is a wasteful number, since it uses less digits than its factorization.

31412020314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214192 (or 214188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31412020314040 its reverse (4041302021413), we get a palindrome (35453322335453).

The spelling of 31412020314040 in words is "thirty-one trillion, four hundred twelve billion, twenty million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1601 2333 3202 4666 6404 8005 9332 11665 12808 16010 18664 23330 32020 46660 64040 93320 210247 420494 840988 1051235 1681976 2102470 3735133 4204940 7470266 8409880 14940532 18675665 29881064 37351330 74702660 149405320 336605447 490506251 673210894 981012502 1346421788 1683027235 1962025004 2452531255 2692843576 3366054470 3924050008 4905062510 6732108940 9810125020 13464217880 19620250040 785300507851 1570601015702 3141202031404 3926502539255 6282404062808 7853005078510 15706010157020 31412020314040