Search a number
-
+
21424668144450 = 23525910092399273
BaseRepresentation
bin1001101111100010100011…
…01110111111001101000010
32210212011210221220212201020
410313301101232333031002
510302010210021110300
6113322205012450310
74340611151316264
oct467612156771502
983764727825636
1021424668144450
11691017269a36a
1224a02b2019996
13bc545075188c
14540d60b07b34
152724889b58a0
hex137c51bbf342

21424668144450 has 96 divisors (see below), whose sum is σ = 54087313636800. Its totient is φ = 5610841528320.

The previous prime is 21424668144413. The next prime is 21424668144479. The reversal of 21424668144450 is 5444186642412.

It is a junction number, because it is equal to n+sod(n) for n = 21424668144393 and 21424668144402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7730014 + ... + 10129286.

It is an arithmetic number, because the mean of its divisors is an integer number (563409517050).

Almost surely, 221424668144450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21424668144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27043656818400).

21424668144450 is an abundant number, since it is smaller than the sum of its proper divisors (32662645492350).

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

21424668144450 is a wasteful number, since it uses less digits than its factorization.

21424668144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400356 (or 2400351 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 21424668144450 in words is "twenty-one trillion, four hundred twenty-four billion, six hundred sixty-eight million, one hundred forty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1009 1475 1770 2018 2950 3027 4425 5045 6054 8850 10090 15135 25225 30270 50450 59531 75675 119062 151350 178593 297655 357186 595310 892965 1488275 1785930 2399273 2976550 4464825 4798546 7197819 8929650 11996365 14395638 23992730 35989095 59981825 71978190 119963650 141557107 179945475 283114214 359890950 424671321 707785535 849342642 1415571070 2123356605 2420866457 3538927675 4246713210 4841732914 7077855350 7262599371 10616783025 12104332285 14525198742 21233566050 24208664570 36312996855 60521661425 72625993710 121043322850 142831120963 181564984275 285662241926 363129968550 428493362889 714155604815 856986725778 1428311209630 2142466814445 3570778024075 4284933628890 7141556048150 10712334072225 21424668144450