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4034131301024 = 251123498286969
BaseRepresentation
bin111010101101000100111…
…101101001001010100000
3112021122210112202102220022
4322231010331221022200
51012043400103113044
612325130534133012
7564312351165266
oct72550475511240
915248715672808
104034131301024
111315957a4a270
12551a124b1168
13233556064c46
14dd37831a436
156ee0c6433ee
hex3ab44f692a0

4034131301024 has 48 divisors (see below), whose sum is σ = 9040918783680. Its totient is φ = 1753970127360.

The previous prime is 4034131301017. The next prime is 4034131301051. The reversal of 4034131301024 is 4201031314304.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4034131300984 and 4034131301002.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249135389 + ... + 249151580.

It is an arithmetic number, because the mean of its divisors is an integer number (188352474660).

Almost surely, 24034131301024 is an apocalyptic number.

4034131301024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4034131301024 is an abundant number, since it is smaller than the sum of its proper divisors (5006787482656).

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

4034131301024 is a wasteful number, since it uses less digits than its factorization.

4034131301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498287013 (or 498287005 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4034131301024 its reverse (4201031314304), we get a palindrome (8235162615328).

The spelling of 4034131301024 in words is "four trillion, thirty-four billion, one hundred thirty-one million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 498286969 996573938 1993147876 3986295752 5481156659 7972591504 10962313318 11460600287 15945183008 21924626636 22921200574 43849253272 45842401148 87698506544 91684802296 126066603157 175397013088 183369604592 252133206314 366739209184 504266412628 1008532825256 2017065650512 4034131301024