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3100441413042 = 23437557928649
BaseRepresentation
bin101101000111100000101…
…101011000010110110010
3101222101210002111201120000
4231013200231120112302
5401244201000204132
610332153443330430
7436666554116061
oct55074055302662
911871702451500
103100441413042
11a95987392a46
12420a77680a16
131964a792099c
14aa0c281c1d8
15559b25c287c
hex2d1e0b585b2

3100441413042 has 80 divisors (see below), whose sum is σ = 7147867339800. Its totient is φ = 1003742191872.

The previous prime is 3100441413037. The next prime is 3100441413059. The reversal of 3100441413042 is 2403141440013.

3100441413042 is a `hidden beast` number, since 310 + 0 + 4 + 4 + 1 + 41 + 304 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2876921430201 + 223519982841 = 1696149^2 + 472779^2 .

It is a super-2 number, since 2×31004414130422 (a number of 26 digits) contains 22 as substring.

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 = 3100441412997 and 3100441413015.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2874334 + ... + 3802982.

Almost surely, 23100441413042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100441413042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573933669900).

3100441413042 is an abundant number, since it is smaller than the sum of its proper divisors (4047425926758).

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

3100441413042 is a wasteful number, since it uses less digits than its factorization.

3100441413042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929257 (or 929248 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3100441413042 its reverse (2403141440013), we get a palindrome (5503582853055).

The spelling of 3100441413042 in words is "three trillion, one hundred billion, four hundred forty-one million, four hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 557 666 999 1114 1671 1998 2997 3342 5013 5994 10026 15039 20609 30078 41218 45117 61827 90234 123654 185481 370962 556443 928649 1112886 1669329 1857298 2785947 3338658 5571894 8357841 16715682 25073523 34360013 50147046 68720026 75220569 103080039 150441138 206160078 309240117 517257493 618480234 927720351 1034514986 1551772479 1855440702 2783161053 3103544958 4655317437 5566322106 9310634874 13965952311 19138527241 27931904622 38277054482 41897856933 57415581723 83795713866 114831163446 172246745169 344493490338 516740235507 1033480471014 1550220706521 3100441413042