Search a number
-
+
4134143434040 = 235457599377557
BaseRepresentation
bin111100001010001110001…
…001101001110100111000
3112122012221120020012111222
4330022032021221310320
51020213211204342130
612443111013211212
7604452633246104
oct74121611516470
915565846205458
104134143434040
11135430a212054
12569284330b08
1323cb04232089
14104144c18904
1572812977ce5
hex3c28e269d38

4134143434040 has 64 divisors (see below), whose sum is σ = 9337764456000. Its totient is φ = 1647279848448.

The previous prime is 4134143434039. The next prime is 4134143434087. The reversal of 4134143434040 is 404343414314.

It is a super-2 number, since 2×41341434340402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10760942 + ... + 11138498.

It is an arithmetic number, because the mean of its divisors is an integer number (145902569625).

Almost surely, 24134143434040 is an apocalyptic number.

4134143434040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134143434040 is an abundant number, since it is smaller than the sum of its proper divisors (5203621021960).

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

4134143434040 is a wasteful number, since it uses less digits than its factorization.

4134143434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378624 (or 378620 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 4134143434040 its reverse (404343414314), we get a palindrome (4538486848354).

The spelling of 4134143434040 in words is "four trillion, one hundred thirty-four billion, one hundred forty-three million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 457 599 914 1198 1828 2285 2396 2995 3656 4570 4792 5990 9140 11980 18280 23960 273743 377557 547486 755114 1094972 1368715 1510228 1887785 2189944 2737430 3020456 3775570 5474860 7551140 10949720 15102280 172543549 226156643 345087098 452313286 690174196 862717745 904626572 1130783215 1380348392 1725435490 1809253144 2261566430 3450870980 4523132860 6901741960 9046265720 103353585851 206707171702 413414343404 516767929255 826828686808 1033535858510 2067071717020 4134143434040