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1213421144040 = 233257481516327
BaseRepresentation
bin10001101010000101100…
…010010100011111101000
311022000001101221212110100
4101222011202110133220
5124340041303102130
62325234334145400
7153444464354610
oct21520542243750
94260041855410
101213421144040
11428677669276
12177204352260
138a56acc2061
1442a30b9da40
152186d0cac60
hex11a858947e8

1213421144040 has 96 divisors (see below), whose sum is σ = 4506992830080. Its totient is φ = 277353403776.

The previous prime is 1213421144017. The next prime is 1213421144057. The reversal of 1213421144040 is 404411243121.

1213421144040 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 4 + 211 + 440 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1213421143995 and 1213421144013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240755644 + ... + 240760683.

It is an arithmetic number, because the mean of its divisors is an integer number (46947841980).

Almost surely, 21213421144040 is an apocalyptic number.

1213421144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213421144040 is an abundant number, since it is smaller than the sum of its proper divisors (3293571686040).

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

1213421144040 is a wasteful number, since it uses less digits than its factorization.

1213421144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481516351 (or 481516344 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1213421144040 its reverse (404411243121), we get a palindrome (1617832387161).

The spelling of 1213421144040 in words is "one trillion, two hundred thirteen billion, four hundred twenty-one million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 481516327 963032654 1444548981 1926065308 2407581635 2889097962 3370614289 3852130616 4333646943 4815163270 5778195924 6741228578 7222744905 8667293886 9630326540 10111842867 11556391848 13482457156 14445489810 16853071445 17334587772 19260653080 20223685734 21668234715 26964914312 28890979620 30335528601 33706142890 34669175544 40447371468 43336469430 50559214335 57781959240 60671057202 67412285780 80894742936 86672938860 101118428670 121342114404 134824571560 151677643005 173345877720 202236857340 242684228808 303355286010 404473714680 606710572020 1213421144040