Search a number
-
+
3124031420004 = 22311191787697049
BaseRepresentation
bin101101011101011110110…
…010000111011001100100
3102001122200010021020112120
4231131132302013121210
5402141004020420004
610351054335145540
7441463260634425
oct55353662073144
912048603236476
103124031420004
11aa4992325370
1242555b9752b0
13198796cba0a1
14ab2bd81164c
15563e35c93d9
hex2d75ec87664

3124031420004 has 96 divisors (see below), whose sum is σ = 8375306688000. Its totient is φ = 896347964160.

The previous prime is 3124031419997. The next prime is 3124031420011. The reversal of 3124031420004 is 4000241304213.

It is an interprime number because it is at equal distance from previous prime (3124031419997) and next prime (3124031420011).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4133272 + ... + 4830320.

It is an arithmetic number, because the mean of its divisors is an integer number (87242778000).

Almost surely, 23124031420004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3124031420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187653344000).

3124031420004 is an abundant number, since it is smaller than the sum of its proper divisors (5251275267996).

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

3124031420004 is a wasteful number, since it uses less digits than its factorization.

3124031420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698873 (or 698871 counting only the distinct ones).

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

Adding to 3124031420004 its reverse (4000241304213), we get a palindrome (7124272724217).

The spelling of 3124031420004 in words is "three trillion, one hundred twenty-four billion, thirty-one million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1787 2508 3574 5361 7148 10722 19657 21444 33953 39314 58971 67906 78628 101859 117942 135812 203718 235884 373483 407436 697049 746966 1120449 1394098 1493932 2091147 2240898 2788196 4182294 4481796 7667539 8364588 13243931 15335078 23002617 26487862 30670156 39731793 46005234 52975724 79463586 92010468 145683241 158927172 291366482 437049723 582732964 874099446 1245626563 1748198892 2491253126 3736879689 4982506252 7473759378 13701892193 14947518756 23666904697 27403784386 41105676579 47333809394 54807568772 71000714091 82211353158 94667618788 142001428182 164422706316 260335951667 284002856364 520671903334 781007855001 1041343806668 1562015710002 3124031420004