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10044400004340 = 22351357012258803
BaseRepresentation
bin1001001000101010010011…
…1001001110110011110100
31022120020100111200011120120
42102022210321032303310
52304031412400114330
633210200023131540
72054453411222142
oct222124471166364
938506314604516
1010044400004340
113222895a44489
1211628092a3bb0
1357b24b972a40
1426a219c16592
15126427d64c10
hex922a4e4ecf4

10044400004340 has 96 divisors (see below), whose sum is σ = 30293055359616. Its totient is φ = 2472032908800.

The previous prime is 10044400004323. The next prime is 10044400004357. The reversal of 10044400004340 is 4340000444001.

It is an interprime number because it is at equal distance from previous prime (10044400004323) and next prime (10044400004357).

It is a self number, because there is not a number n which added to its sum of digits gives 10044400004340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3317379 + ... + 5576181.

It is an arithmetic number, because the mean of its divisors is an integer number (315552659996).

Almost surely, 210044400004340 is an apocalyptic number.

10044400004340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044400004340 is an abundant number, since it is smaller than the sum of its proper divisors (20248655355276).

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

10044400004340 is a wasteful number, since it uses less digits than its factorization.

10044400004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264529 (or 2264527 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10044400004340 its reverse (4340000444001), we get a palindrome (14384400448341).

The spelling of 10044400004340 in words is "ten trillion, forty-four billion, four hundred million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 5701 11402 17103 22804 28505 34206 57010 68412 74113 85515 114020 148226 171030 222339 296452 342060 370565 444678 741130 889356 1111695 1482260 2223390 2258803 4446780 4517606 6776409 9035212 11294015 13552818 22588030 27105636 29364439 33882045 45176060 58728878 67764090 88093317 117457756 135528180 146822195 176186634 293644390 352373268 440466585 587288780 880933170 1761866340 12877435903 25754871806 38632307709 51509743612 64387179515 77264615418 128774359030 154529230836 167406666739 193161538545 257548718060 334813333478 386323077090 502220000217 669626666956 772646154180 837033333695 1004440000434 1674066667390 2008880000868 2511100001085 3348133334780 5022200002170 10044400004340