Search a number
-
+
42001344104142 = 2399723832946407
BaseRepresentation
bin10011000110011001100110…
…01100100000011011001110
312111201021210212221102112110
421203030303030200123032
521001122223042313032
6225155052350044450
711563332314202543
oct1143146314403316
9174637725842473
1042001344104142
1112423740857225
1248641851a9726
131a5892c439717
14a52c3968abca
154cc840bec7cc
hex2633333206ce

42001344104142 has 32 divisors (see below), whose sum is σ = 84122258383872. Its totient is φ = 13980531471264.

The previous prime is 42001344104107. The next prime is 42001344104143. The reversal of 42001344104142 is 24140144310024.

It is a happy number.

It is a super-2 number, since 2×420013441041422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001344104143) 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, 12781903 + ... + 15728309.

It is an arithmetic number, because the mean of its divisors is an integer number (2628820574496).

Almost surely, 242001344104142 is an apocalyptic number.

42001344104142 is an abundant number, since it is smaller than the sum of its proper divisors (42120914279730).

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

42001344104142 is a wasteful number, since it uses less digits than its factorization.

42001344104142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949792.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 42001344104142 its reverse (24140144310024), we get a palindrome (66141488414166).

The spelling of 42001344104142 in words is "forty-two trillion, one billion, three hundred forty-four million, one hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 997 1994 2383 2991 4766 5982 7149 14298 2375851 2946407 4751702 5892814 7127553 8839221 14255106 17678442 2937567779 5875135558 7021287881 8812703337 14042575762 17625406674 21063863643 42127727286 7000224017357 14000448034714 21000672052071 42001344104142