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20402301444 = 22372915535393
BaseRepresentation
bin10011000000000100…
…100110101000000100
31221122212112022002020
4103000010212220010
5313240442121234
613212300043140
71321405462260
oct230004465004
957585468066
1020402301444
11871a627058
123b548334b0
131c01b43925
14db78c90a0
157e6236549
hex4c0126a04

20402301444 has 96 divisors (see below), whose sum is σ = 56328894720. Its totient is φ = 5623554048.

The previous prime is 20402301419. The next prime is 20402301449. The reversal of 20402301444 is 44410320402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20402301449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3780412 + ... + 3785804.

It is an arithmetic number, because the mean of its divisors is an integer number (586759320).

Almost surely, 220402301444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20402301444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28164447360).

20402301444 is an abundant number, since it is smaller than the sum of its proper divisors (35926593276).

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

20402301444 is a wasteful number, since it uses less digits than its factorization.

20402301444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20402301444 its reverse (44410320402), we get a palindrome (64812621846).

The spelling of 20402301444 in words is "twenty billion, four hundred two million, three hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 1553 2436 3106 4659 5393 6212 9318 10786 10871 16179 18636 21572 21742 32358 32613 37751 43484 45037 64716 65226 75502 90074 113253 130452 135111 151004 156397 180148 226506 270222 312794 315259 453012 469191 540444 625588 630518 938382 945777 1094779 1261036 1876764 1891554 2189558 3284337 3783108 4379116 6568674 8375329 13137348 16750658 25125987 33501316 50251974 58627303 100503948 117254606 175881909 234509212 242884541 351763818 485769082 703527636 728653623 971538164 1457307246 1700191787 2914614492 3400383574 5100575361 6800767148 10201150722 20402301444