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14134044030 = 23537101139907
BaseRepresentation
bin11010010100111010…
…00110010101111110
31100111000200211102020
431022131012111332
5212421303402110
610254301341010
71010153251311
oct151235062576
940430624366
1014134044030
115aa3332527
1228a5567766
131443312282
1498120a978
1557acaed70
hex34a74657e

14134044030 has 128 divisors (see below), whose sum is σ = 35475632640. Its totient is φ = 3600806400.

The previous prime is 14134044017. The next prime is 14134044031. The reversal of 14134044030 is 3044043141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134044031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15582837 + ... + 15583743.

It is an arithmetic number, because the mean of its divisors is an integer number (277153380).

Almost surely, 214134044030 is an apocalyptic number.

14134044030 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 14134044030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737816320).

14134044030 is an abundant number, since it is smaller than the sum of its proper divisors (21341588610).

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

14134044030 is a wasteful number, since it uses less digits than its factorization.

14134044030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14134044030 its reverse (3044043141), we get a palindrome (17178087171).

The spelling of 14134044030 in words is "fourteen billion, one hundred thirty-four million, forty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 139 185 202 222 278 303 370 417 505 555 606 695 834 907 1010 1110 1390 1515 1814 2085 2721 3030 3737 4170 4535 5143 5442 7474 9070 10286 11211 13605 14039 15429 18685 22422 25715 27210 28078 30858 33559 37370 42117 51430 56055 67118 70195 77145 84234 91607 100677 112110 126073 140390 154290 167795 183214 201354 210585 252146 274821 335590 378219 421170 458035 503385 519443 549642 630365 756438 916070 1006770 1038886 1260730 1374105 1558329 1891095 2597215 2748210 3116658 3389459 3782190 4664701 5194430 6778918 7791645 9329402 10168377 12733373 13994103 15583290 16947295 20336754 23323505 25466746 27988206 33894590 38200119 46647010 50841885 63666865 69970515 76400238 101683770 127333730 139941030 191000595 382001190 471134801 942269602 1413404403 2355674005 2826808806 4711348010 7067022015 14134044030