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1304412024042 = 233271857104009
BaseRepresentation
bin10010111110110101000…
…000111110110011101010
311121200220201100111102000
4102332311000332303222
5132332413434232132
62435123312351430
7163145355156261
oct22766500766352
94550821314360
101304412024042
1146321a644156
12190978b45576
139600c1aa35a
14471c35135d8
1523de643687c
hex12fb503ecea

1304412024042 has 64 divisors (see below), whose sum is σ = 2912812531200. Its totient is φ = 432689921280.

The previous prime is 1304412023989. The next prime is 1304412024067. The reversal of 1304412024042 is 2404202144031.

1304412024042 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 412 + 0 + 240 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1304412023997 and 1304412024015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12489334 + ... + 12593342.

It is an arithmetic number, because the mean of its divisors is an integer number (45512695800).

Almost surely, 21304412024042 is an apocalyptic number.

1304412024042 is an abundant number, since it is smaller than the sum of its proper divisors (1608400507158).

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

1304412024042 is a wasteful number, since it uses less digits than its factorization.

1304412024042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105148 (or 105142 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1304412024042 its reverse (2404202144031), we get a palindrome (3708614168073).

The spelling of 1304412024042 in words is "one trillion, three hundred four billion, four hundred twelve million, twenty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 271 542 813 857 1626 1714 2439 2571 4878 5142 7317 7713 14634 15426 23139 46278 104009 208018 232247 312027 464494 624054 696741 936081 1393482 1872162 2090223 2808243 4180446 5616486 6270669 12541338 28186439 56372878 84559317 89135713 169118634 178271426 253677951 267407139 507355902 534814278 761033853 802221417 1522067706 1604442834 2406664251 4813328502 24155778223 48311556446 72467334669 144934669338 217402004007 434804008014 652206012021 1304412024042