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23433002343144 = 23371345799527
BaseRepresentation
bin1010101001111111010111…
…10001111101101011101000
310001222011200020000220000000
411110333223301331223220
511032411242044440034
6121500550032343000
74635656433330612
oct524775361755350
9101864606026000
1023433002343144
117514975a1aa69
1227655810a4a60
13100c95183bc64
145b02403b7db2
152a982d4a5599
hex154febc7dae8

23433002343144 has 128 divisors (see below), whose sum is σ = 65900832940800. Its totient is φ = 7810341864192.

The previous prime is 23433002343139. The next prime is 23433002343187. The reversal of 23433002343144 is 44134320033432.

23433002343144 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 300 + 2 + 34 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23433002343099 and 23433002343108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235393909 + ... + 235493435.

It is an arithmetic number, because the mean of its divisors is an integer number (514850257350).

Almost surely, 223433002343144 is an apocalyptic number.

23433002343144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23433002343144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32950416470400).

23433002343144 is an abundant number, since it is smaller than the sum of its proper divisors (42467830597656).

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

23433002343144 is an equidigital number, since it uses as much as digits as its factorization.

23433002343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113011 (or 112989 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 23433002343144 its reverse (44134320033432), we get a palindrome (67567322376576).

The spelling of 23433002343144 in words is "twenty-three trillion, four hundred thirty-three billion, two million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 13457 17496 26914 40371 53828 80742 99527 107656 121113 161484 199054 242226 298581 322968 363339 398108 484452 597162 726678 796216 895743 968904 1090017 1194324 1453356 1791486 2180034 2388648 2687229 2906712 3270051 3582972 4360068 5374458 6540102 7165944 8061687 8720136 9810153 10748916 13080204 16123374 19620306 21497832 24185061 26160408 29430459 32246748 39240612 48370122 58860918 64493496 72555183 78481224 96740244 117721836 145110366 193480488 217665549 235443672 290220732 435331098 580441464 870662196 1339334839 1741324392 2678669678 4018004517 5357339356 8036009034 10714678712 12054013551 16072018068 24108027102 32144036136 36162040653 48216054204 72324081306 96432108408 108486121959 144648162612 216972243918 289296325224 325458365877 433944487836 650916731754 867888975672 976375097631 1301833463508 1952750195262 2603666927016 2929125292893 3905500390524 5858250585786 7811000781048 11716501171572 23433002343144