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4234134240102 = 2313217643382003
BaseRepresentation
bin111101100111010110000…
…100010011101101100110
3112222210001002120110001110
4331213112010103231212
51023333001331140402
613001045011205450
7614622536133114
oct75472604235546
915883032513043
104234134240102
111392760438658
1258472aba6886
1324937ab72b00
14108d0c964ab4
1575215e9856c
hex3d9d6113b66

4234134240102 has 96 divisors (see below), whose sum is σ = 9724306048128. Its totient is φ = 1224264457728.

The previous prime is 4234134240059. The next prime is 4234134240107. The reversal of 4234134240102 is 2010424314324.

It is a self number, because there is not a number n which added to its sum of digits gives 4234134240102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234134240107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10893033 + ... + 11275035.

It is an arithmetic number, because the mean of its divisors is an integer number (101294854668).

Almost surely, 24234134240102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234134240102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862153024064).

4234134240102 is an abundant number, since it is smaller than the sum of its proper divisors (5490171808026).

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

4234134240102 is a wasteful number, since it uses less digits than its factorization.

4234134240102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382694 (or 382681 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4234134240102 its reverse (2010424314324), we get a palindrome (6244558554426).

The spelling of 4234134240102 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-four million, two hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 643 663 1014 1286 1326 1929 2873 3858 5746 8359 8619 10931 16718 17238 21862 25077 32793 50154 65586 108667 142103 217334 284206 326001 382003 426309 652002 764006 852618 1146009 1847339 2292018 3694678 4966039 5542017 6494051 9932078 11084034 12988102 14898117 19482153 29796234 38964306 64558507 84422663 129117014 168845326 193675521 245627929 253267989 387351042 491255858 506535978 736883787 1097494619 1473767574 2194989238 3193163077 3292483857 4175674793 6386326154 6584967714 8351349586 9579489231 12527024379 19158978462 25054048758 41511120001 54283772309 83022240002 108567544618 124533360003 162851316927 249066720006 325702633854 705689040017 1411378080034 2117067120051 4234134240102