Search a number
-
+
4146602031 = 3311134212551
BaseRepresentation
bin1111011100101000…
…0010000000101111
3101200222120012122000
43313022002000233
531443012231111
61523244023343
7204520351515
oct36712020057
911628505560
104146602031
111838715530
12978831b53
13511100a90
142b49d64b5
15194082c56
hexf728202f

4146602031 has 64 divisors (see below), whose sum is σ = 7237063680. Its totient is φ = 2313360000.

The previous prime is 4146602017. The next prime is 4146602113. The reversal of 4146602031 is 1302066414.

It is not a de Polignac number, because 4146602031 - 26 = 4146601967 is a prime.

It is a super-2 number, since 2×41466020312 = 34388616806986649922, which 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 = 4146601986 and 4146602004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146602231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1624206 + ... + 1626756.

It is an arithmetic number, because the mean of its divisors is an integer number (113079120).

Almost surely, 24146602031 is an apocalyptic number.

4146602031 is a deficient number, since it is larger than the sum of its proper divisors (3090461649).

4146602031 is a wasteful number, since it uses less digits than its factorization.

4146602031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2999 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4146602031 is about 64394.1148786129. The cubic root of 4146602031 is about 1606.5618580922.

Adding to 4146602031 its reverse (1302066414), we get a palindrome (5448668445).

The spelling of 4146602031 in words is "four billion, one hundred forty-six million, six hundred two thousand, thirty-one".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 297 351 421 429 1263 1287 2551 3789 3861 4631 5473 7653 11367 13893 16419 22959 28061 33163 41679 49257 60203 68877 84183 99489 125037 147771 180609 252549 298467 364793 541827 757647 895401 1073971 1094379 1625481 3221913 3283137 9665739 9849411 11813681 13961623 28997217 35441043 41884869 106323129 125654607 153577853 318969387 376963821 460733559 1382200677 4146602031