Search a number
-
+
4258434202044 = 22311171897697951
BaseRepresentation
bin111101111101111110011…
…101010011100110111100
3120002002202121020102011220
4331331332131103212330
51024232233123431134
613020144143513340
7616442653324161
oct75757635234674
916062677212156
104258434202044
1113a1aa00a9730
12589390bb8850
1324b751355809
1410a175d64068
1575b8948c149
hex3df7e7539bc

4258434202044 has 48 divisors (see below), whose sum is σ = 11477277213696. Its totient is φ = 1214526688000.

The previous prime is 4258434202031. The next prime is 4258434202079. The reversal of 4258434202044 is 4402024348524.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4258434201987 and 4258434202005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948846732 + ... + 948851219.

It is an arithmetic number, because the mean of its divisors is an integer number (239109941952).

Almost surely, 24258434202044 is an apocalyptic number.

4258434202044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4258434202044 is an abundant number, since it is smaller than the sum of its proper divisors (7218843011652).

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

4258434202044 is a wasteful number, since it uses less digits than its factorization.

4258434202044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897697986 (or 1897697984 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

The spelling of 4258434202044 in words is "four trillion, two hundred fifty-eight billion, four hundred thirty-four million, two hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 1897697951 3795395902 5693093853 7590791804 11386187706 20874677461 22772375412 32260865167 41749354922 62624032383 64521730334 83498709844 96782595501 125248064766 129043460668 193565191002 250496129532 354869516837 387130382004 709739033674 1064608550511 1419478067348 2129217101022 4258434202044