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34233103014 = 2311171012691123
BaseRepresentation
bin11111111000011100…
…111011001010100110
310021100202121211001020
4133320130323022212
51030102133244024
623420530112010
72321220401025
oct377034731246
9107322554036
1034233103014
111357776aa80
12677471b606
1332c7391296
14192a71a8bc
15d55596979
hex7f873b2a6

34233103014 has 128 divisors (see below), whose sum is σ = 80235256320. Its totient is φ = 9622272000.

The previous prime is 34233103013. The next prime is 34233103039. The reversal of 34233103014 is 41030133243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34233103013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30483057 + ... + 30484179.

It is an arithmetic number, because the mean of its divisors is an integer number (626837940).

Almost surely, 234233103014 is an apocalyptic number.

34233103014 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34233103014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40117628160).

34233103014 is an abundant number, since it is smaller than the sum of its proper divisors (46002153306).

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

34233103014 is a wasteful number, since it uses less digits than its factorization.

34233103014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34233103014 its reverse (41030133243), we get a palindrome (75263236257).

The spelling of 34233103014 in words is "thirty-four billion, two hundred thirty-three million, one hundred three thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 269 303 374 538 561 606 807 1111 1122 1123 1614 1717 2222 2246 2959 3333 3369 3434 4573 5151 5918 6666 6738 8877 9146 10302 12353 13719 17754 18887 19091 24706 27169 27438 37059 37774 38182 50303 54338 56661 57273 74118 81507 100606 113322 113423 114546 150909 163014 210001 226846 298859 301818 302087 340269 420002 461873 597718 604174 630003 680538 896577 906261 923746 1247653 1260006 1385619 1793154 1812522 1928191 2495306 2771238 3322957 3742959 3856382 5080603 5135479 5784573 6645914 7485918 9968871 10161206 10270958 11569146 15241809 15406437 19937742 21210101 30483618 30510787 30812874 42420202 56490269 61021574 63630303 91532361 112980538 127260606 169470807 183064722 335618657 338941614 518683379 671237314 1006855971 1037366758 1556050137 2013711942 3112100274 5705517169 11411034338 17116551507 34233103014