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4134322104 = 2331159433613
BaseRepresentation
bin1111011001101100…
…1011111110111000
3101200010110022201220
43312123023332320
531431341301404
61522124512040
7204311105133
oct36633137670
911603408656
104134322104
111831798430
129746ab620
1350b6c1553
142b311b21a
15192e594d9
hexf66cbfb8

4134322104 has 128 divisors (see below), whose sum is σ = 11511763200. Its totient is φ = 1226741760.

The previous prime is 4134322091. The next prime is 4134322109. The reversal of 4134322104 is 4012234314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134322109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6744102 + ... + 6744714.

It is an arithmetic number, because the mean of its divisors is an integer number (89935650).

Almost surely, 24134322104 is an apocalyptic number.

4134322104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755881600).

4134322104 is an abundant number, since it is smaller than the sum of its proper divisors (7377441096).

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

4134322104 is a wasteful number, since it uses less digits than its factorization.

4134322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4134322104 is about 64298.6944190938. The cubic root of 4134322104 is about 1604.9743760042.

Adding to 4134322104 its reverse (4012234314), we get a palindrome (8146556418).

The spelling of 4134322104 in words is "four billion, one hundred thirty-four million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 88 118 132 177 236 264 354 433 472 613 649 708 866 1226 1298 1299 1416 1732 1839 1947 2452 2596 2598 3464 3678 3894 4763 4904 5192 5196 6743 7356 7788 9526 10392 13486 14289 14712 15576 19052 20229 25547 26972 28578 36167 38104 40458 51094 53944 57156 72334 76641 80916 102188 108501 114312 144668 153282 161832 204376 217002 265429 281017 289336 306564 397837 434004 530858 562034 613128 795674 796287 843051 868008 1061716 1124068 1193511 1591348 1592574 1686102 2123432 2248136 2387022 2919719 3182696 3185148 3372204 4774044 5839438 6370296 6744408 8759157 9548088 11678876 15660311 17518314 23357752 31320622 35036628 46980933 62641244 70073256 93961866 125282488 172263421 187923732 344526842 375847464 516790263 689053684 1033580526 1378107368 2067161052 4134322104