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10044040334430 = 2355948221117679
BaseRepresentation
bin1001001000101000111101…
…1101001100110001011110
31022120012102102220001012210
42102022033131030301132
52304030143311200210
633210100214141250
72054441453121624
oct222121735146136
938505372801183
1010044040334430
113222720a15123
121162728951826
1357b1c22b22cb
1426a1c414d514
151264064bae20
hex9228f74cc5e

10044040334430 has 64 divisors (see below), whose sum is σ = 24514984627200. Its totient is φ = 2632936986240.

The previous prime is 10044040334399. The next prime is 10044040334431. The reversal of 10044040334430 is 3443304044001.

10044040334430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044040334431) 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, 85292331 + ... + 85410009.

It is an arithmetic number, because the mean of its divisors is an integer number (383046634800).

Almost surely, 210044040334430 is an apocalyptic number.

10044040334430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10044040334430 is an abundant number, since it is smaller than the sum of its proper divisors (14470944292770).

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

10044040334430 is a wasteful number, since it uses less digits than its factorization.

10044040334430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165969.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10044040334430 its reverse (3443304044001), we get a palindrome (13487344378431).

The spelling of 10044040334430 in words is "ten trillion, forty-four billion, forty million, three hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 48221 96442 117679 144663 235358 241105 289326 353037 482210 588395 706074 723315 1176790 1446630 1765185 2845039 3530370 5690078 6943061 8535117 13886122 14225195 17070234 20829183 28450390 34715305 41658366 42675585 69430610 85351170 104145915 208291830 5674599059 11349198118 17023797177 28372995295 34047594354 56745990590 85118985885 170237971770 334801344481 669602688962 1004404033443 1674006722405 2008808066886 3348013444810 5022020167215 10044040334430