Search a number
-
+
4042411432010 = 25739739121013
BaseRepresentation
bin111010110100110010011…
…111110101100001001010
3112022110011121021200021022
4322310302133311201022
51012212324311311020
612333020322112442
7565024503143000
oct72646237654112
915273147250238
104042411432010
111319416960226
125535434ab722
1323427563a233
14dd921ca4a70
1570244525625
hex3ad327f584a

4042411432010 has 64 divisors (see below), whose sum is σ = 8486469792000. Its totient is φ = 1385815870656.

The previous prime is 4042411432001. The next prime is 4042411432043. The reversal of 4042411432010 is 102341142404.

It is a super-3 number, since 3×40424114320103 (a number of 39 digits) contains 333 as substring.

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, 33344264 + ... + 33465276.

It is an arithmetic number, because the mean of its divisors is an integer number (132601090500).

Almost surely, 24042411432010 is an apocalyptic number.

4042411432010 is an abundant number, since it is smaller than the sum of its proper divisors (4444058359990).

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

4042411432010 is a wasteful number, since it uses less digits than its factorization.

4042411432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130780 (or 130766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4042411432010 its reverse (102341142404), we get a palindrome (4144752574414).

The spelling of 4042411432010 in words is "four trillion, forty-two billion, four hundred eleven million, four hundred thirty-two thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 686 1715 3430 9739 19478 48695 68173 97390 121013 136346 242026 340865 477211 605065 681730 847091 954422 1210130 1694182 2386055 3340477 4235455 4772110 5929637 6680954 8470910 11859274 16702385 29648185 33404770 41507459 59296370 83014918 207537295 415074590 1178545607 2357091214 5892728035 8249819249 11785456070 16499638498 41249096245 57748734743 82498192490 115497469486 288743673715 404241143201 577487347430 808482286402 2021205716005 4042411432010