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130414124020422 = 231137263523388259
BaseRepresentation
bin11101101001110001100111…
…100010010011001011000110
3122002202110122112102020101010
4131221301213202103023012
5114043201111222123142
61141211231012543050
736320052365615544
oct3551614742231306
9562673575366333
10130414124020422
1138610357136180
121276316a321a86
13579cccb106258
14242c1120bcd94
151012585e21e9c
hex769c678932c6

130414124020422 has 128 divisors (see below), whose sum is σ = 293902955089920. Its totient is φ = 38231796320640.

The previous prime is 130414124020417. The next prime is 130414124020423. The reversal of 130414124020422 is 224020421414031.

130414124020422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 130414124020422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130414124020423) 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, 335700529 + ... + 336088787.

It is an arithmetic number, because the mean of its divisors is an integer number (2296116836640).

Almost surely, 2130414124020422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130414124020422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146951477544960).

130414124020422 is an abundant number, since it is smaller than the sum of its proper divisors (163488831069498).

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

130414124020422 is a wasteful number, since it uses less digits than its factorization.

130414124020422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389098.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 130414124020422 its reverse (224020421414031), we get a palindrome (354434545434453).

The spelling of 130414124020422 in words is "one hundred thirty trillion, four hundred fourteen billion, one hundred twenty-four million, twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 263 407 523 526 789 814 1046 1221 1569 1578 2442 2893 3138 5753 5786 8679 9731 11506 17259 17358 19351 19462 29193 34518 38702 58053 58386 107041 116106 137549 212861 214082 275098 321123 388259 412647 425722 638583 642246 776518 825294 1164777 1277166 1513039 2329554 3026078 4270849 4539117 5089313 8541698 9078234 10178626 12812547 14365583 15267939 25625094 28731166 30535878 43096749 55982443 86193498 102112117 111964886 158021413 167947329 203059457 204224234 306336351 316042826 335894658 406118914 474064239 609178371 612672702 948128478 1123233287 1218356742 2233654027 2246466574 3369699861 3778148329 4467308054 6700962081 6739399722 7513199909 7556296658 11334444987 13401924162 15026399818 22539599727 22668889974 41559631619 45079199454 53404637191 82645198999 83119263238 106809274382 124678894857 160213911573 165290397998 247935596997 249357789714 320427823146 495871193994 587451009101 1174902018202 1762353027303 1975971576067 3524706054606 3951943152134 5927914728201 11855829456402 21735687336737 43471374673474 65207062010211 130414124020422