Search a number
-
+
10130314340040 = 2335621191358993
BaseRepresentation
bin1001001101101010010111…
…0010011010011011001000
31022212110010000122121220220
42103122211302122123020
52311433340432340130
633313445133350040
72063614430065026
oct223324562323310
938773100577826
1010130314340040
113256273391504
1211773a5938320
135863911abc7b
1427044a261716
151287a5699410
hex936a5c9a6c8

10130314340040 has 64 divisors (see below), whose sum is σ = 30391454620800. Its totient is φ = 2701371681792.

The previous prime is 10130314340039. The next prime is 10130314340051. The reversal of 10130314340040 is 4004341303101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6774784 + ... + 8133776.

It is an arithmetic number, because the mean of its divisors is an integer number (474866478450).

Almost surely, 210130314340040 is an apocalyptic number.

10130314340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10130314340040 is an abundant number, since it is smaller than the sum of its proper divisors (20261140280760).

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

10130314340040 is a wasteful number, since it uses less digits than its factorization.

10130314340040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421126 (or 1421122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10130314340040 its reverse (4004341303101), we get a palindrome (14134655643141).

The spelling of 10130314340040 in words is "ten trillion, one hundred thirty billion, three hundred fourteen million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 62119 124238 186357 248476 310595 372714 496952 621190 745428 931785 1242380 1358993 1490856 1863570 2484760 2717986 3727140 4076979 5435972 6794965 7454280 8153958 10871944 13589930 16307916 20384895 27179860 32615832 40769790 54359720 81539580 163079160 84419286167 168838572334 253257858501 337677144668 422096430835 506515717002 675354289336 844192861670 1013031434004 1266289292505 1688385723340 2026062868008 2532578585010 3376771446680 5065157170020 10130314340040