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5035140312 = 23323291492111
BaseRepresentation
bin1001011000001111…
…00010010011011000
3110222220111122000020
410230013202103120
540302443442222
62151344310440
7235526662236
oct45407422330
913886448006
105035140312
112154229494
12b86312420
13623213487
1435aa0b956
151e709865c
hex12c1e24d8

5035140312 has 128 divisors (see below), whose sum is σ = 13685760000. Its totient is φ = 1538915840.

The previous prime is 5035140307. The next prime is 5035140317. The reversal of 5035140312 is 2130415305.

It is an interprime number because it is at equal distance from previous prime (5035140307) and next prime (5035140317).

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 (5035140317) 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, 2384137 + ... + 2386247.

It is an arithmetic number, because the mean of its divisors is an integer number (106920000).

Almost surely, 25035140312 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 5035140312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842880000).

5035140312 is an abundant number, since it is smaller than the sum of its proper divisors (8650619688).

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

5035140312 is a wasteful number, since it uses less digits than its factorization.

5035140312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 5035140312 is about 70958.7225927863. The cubic root of 5035140312 is about 1713.9725377031.

Adding to 5035140312 its reverse (2130415305), we get a palindrome (7165555617).

The spelling of 5035140312 in words is "five billion, thirty-five million, one hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 149 174 184 232 276 298 348 447 552 596 667 696 894 1192 1334 1788 2001 2111 2668 3427 3576 4002 4222 4321 5336 6333 6854 8004 8444 8642 10281 12666 12963 13708 16008 16888 17284 20562 25332 25926 27416 34568 41124 48553 50664 51852 61219 82248 97106 99383 103704 122438 145659 183657 194212 198766 244876 291318 298149 314539 367314 388424 397532 489752 582636 596298 629078 734628 795064 943617 1165272 1192596 1258156 1408037 1469256 1887234 2385192 2516312 2816074 3774468 4224111 5632148 7234397 7548936 8448222 9121631 11264296 14468794 16896444 18243262 21703191 27364893 28937588 33792888 36486524 43406382 54729786 57875176 72973048 86812764 109459572 173625528 209797513 218919144 419595026 629392539 839190052 1258785078 1678380104 2517570156 5035140312