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10141340304030 = 2351371619591673
BaseRepresentation
bin1001001110010011011011…
…1111001000001010011110
31022220111120102221122001120
42103210312333020022132
52312123431104212110
633322511210151410
72064454603166445
oct223446677101236
938814512848046
1010141340304030
11325aa11243441
121179562422566
1358742a5c7510
14270bb476dd5c
15128bed666870
hex93936fc829e

10141340304030 has 128 divisors (see below), whose sum is σ = 26623625978880. Its totient is φ = 2457190149120.

The previous prime is 10141340303957. The next prime is 10141340304071. The reversal of 10141340304030 is 3040304314101.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 16844274 + ... + 17435946.

It is an arithmetic number, because the mean of its divisors is an integer number (207997077960).

Almost surely, 210141340304030 is an apocalyptic number.

10141340304030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141340304030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311812989440).

10141340304030 is an abundant number, since it is smaller than the sum of its proper divisors (16482285674850).

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

10141340304030 is a wasteful number, since it uses less digits than its factorization.

10141340304030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592386.

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

Adding to 10141340304030 its reverse (3040304314101), we get a palindrome (13181644618131).

The spelling of 10141340304030 in words is "ten trillion, one hundred forty-one billion, three hundred forty million, three hundred four thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 619 710 923 1065 1238 1846 1857 2130 2769 3095 3714 4615 5538 6190 8047 9230 9285 13845 16094 18570 24141 27690 40235 43949 48282 80470 87898 120705 131847 219745 241410 263694 439490 571337 591673 659235 1142674 1183346 1318470 1714011 1775019 2856685 2958365 3428022 3550038 5713370 5916730 7691749 8570055 8875095 15383498 17140110 17750190 23075247 38458745 42008783 46150494 76917490 84017566 115376235 126026349 210043915 230752470 252052698 366245587 420087830 546114179 630131745 732491174 1092228358 1098736761 1260263490 1638342537 1831227935 2197473522 2730570895 3276685074 3662455870 4761192631 5461141790 5493683805 8191712685 9522385262 10987367610 14283577893 16383425370 23805963155 26003436677 28567155786 47611926310 52006873354 71417889465 78010310031 130017183385 142835778930 156020620062 260034366770 338044676801 390051550155 676089353602 780103100310 1014134030403 1690223384005 2028268060806 3380446768010 5070670152015 10141340304030