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31412041234440 = 23351019256886173
BaseRepresentation
bin1110010010001101011111…
…00011110011100000001000
311010012221222011101122022220
413021012233203303200020
513104123330024000230
6150450254215214040
76421305444012066
oct711065743634010
9133187864348286
1031412041234440
11a010854403a69
123633a45077320
13146b1b18b72c9
147a84cac69036
15397175101d10
hex1c91af8f3808

31412041234440 has 64 divisors (see below), whose sum is σ = 94328603092800. Its totient is φ = 8368323939072.

The previous prime is 31412041234381. The next prime is 31412041234471. The reversal of 31412041234440 is 4443214021413.

It is a happy number.

It is a super-2 number, since 2×314120412344402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128320807 + ... + 128565366.

It is an arithmetic number, because the mean of its divisors is an integer number (1473884423325).

Almost surely, 231412041234440 is an apocalyptic number.

31412041234440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31412041234440 is an abundant number, since it is smaller than the sum of its proper divisors (62916561858360).

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

31412041234440 is a wasteful number, since it uses less digits than its factorization.

31412041234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256887206 (or 256887202 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 31412041234440 its reverse (4443214021413), we get a palindrome (35855255255853).

The spelling of 31412041234440 in words is "thirty-one trillion, four hundred twelve billion, forty-one million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1019 2038 3057 4076 5095 6114 8152 10190 12228 15285 20380 24456 30570 40760 61140 122280 256886173 513772346 770658519 1027544692 1284430865 1541317038 2055089384 2568861730 3082634076 3853292595 5137723460 6165268152 7706585190 10275446920 15413170380 30826340760 261767010287 523534020574 785301030861 1047068041148 1308835051435 1570602061722 2094136082296 2617670102870 3141204123444 3926505154305 5235340205740 6282408246888 7853010308610 10470680411480 15706020617220 31412041234440