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331204142020240 = 24589263176872379
BaseRepresentation
bin100101101001110100111100…
…1001110111011011010010000
31121102200210210010021212220201
41023103221321032323122100
5321402422040324121430
63132225025441544544
7126522465252362146
oct11323517116733220
91542623703255821
10331204142020240
1196593984772795
12311916b9045154
13112a65552b71c8
145bb051a46d596
1528455a6c9d8ca
hex12d3a793bb690

331204142020240 has 80 divisors (see below), whose sum is σ = 781662721276800. Its totient is φ = 130495025509376.

The previous prime is 331204142020231. The next prime is 331204142020243. The reversal of 331204142020240 is 42020241402133.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 331204142020199 and 331204142020208.

It is not an unprimeable number, because it can be changed into a prime (331204142020243) 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, 86563630 + ... + 90308749.

It is an arithmetic number, because the mean of its divisors is an integer number (9770784015960).

Almost surely, 2331204142020240 is an apocalyptic number.

It is an amenable number.

331204142020240 is an abundant number, since it is smaller than the sum of its proper divisors (450458579256560).

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

331204142020240 is a wasteful number, since it uses less digits than its factorization.

331204142020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176872744 (or 176872738 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 331204142020240 its reverse (42020241402133), we get a palindrome (373224383422373).

The spelling of 331204142020240 in words is "three hundred thirty-one trillion, two hundred four billion, one hundred forty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 263 356 445 526 712 890 1052 1315 1424 1780 2104 2630 3560 4208 5260 7120 10520 21040 23407 46814 93628 117035 187256 234070 374512 468140 936280 1872560 176872379 353744758 707489516 884361895 1414979032 1768723790 2829958064 3537447580 7074895160 14149790320 15741641731 31483283462 46517435677 62966566924 78708208655 93034871354 125933133848 157416417310 186069742708 232587178385 251866267696 314832834620 372139485416 465174356770 629665669240 744278970832 930348713540 1259331338480 1860697427080 3721394854160 4140051775253 8280103550506 16560207101012 20700258876265 33120414202024 41400517752530 66240828404048 82801035505060 165602071010120 331204142020240