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4332130021400 = 2352434911025939
BaseRepresentation
bin111111000010100111000…
…100100011000000011000
3120100010222120220221002212
4333002213010203000120
51031434200241141100
613114053021014252
7624662135416316
oct77024704430030
916303876827085
104332130021400
111420278505565
1259b7196b4388
1325569738bc0c
1410d96774d0b6
1577a4e28a635
hex3f0a7123018

4332130021400 has 96 divisors (see below), whose sum is σ = 10327440340800. Its totient is φ = 1689104323200.

The previous prime is 4332130021367. The next prime is 4332130021409. The reversal of 4332130021400 is 41200312334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4332130021409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3709631 + ... + 4735569.

It is an arithmetic number, because the mean of its divisors is an integer number (107577503550).

Almost surely, 24332130021400 is an apocalyptic number.

4332130021400 is a gapful number since it is divisible by the number (40) 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 4332130021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163720170400).

4332130021400 is an abundant number, since it is smaller than the sum of its proper divisors (5995310319400).

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

4332130021400 is a wasteful number, since it uses less digits than its factorization.

4332130021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026489 (or 1026480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 4332130021400 its reverse (41200312334), we get a palindrome (4373330333734).

The spelling of 4332130021400 in words is "four trillion, three hundred thirty-two billion, one hundred thirty million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 491 860 982 1075 1720 1964 2150 2455 3928 4300 4910 8600 9820 12275 19640 21113 24550 42226 49100 84452 98200 105565 168904 211130 422260 527825 844520 1025939 1055650 2051878 2111300 4103756 4222600 5129695 8207512 10259390 20518780 25648475 41037560 44115377 51296950 88230754 102593900 176461508 205187800 220576885 352923016 441153770 503736049 882307540 1007472098 1102884425 1764615080 2014944196 2205768850 2518680245 4029888392 4411537700 5037360490 8823075400 10074720980 12593401225 20149441960 21660650107 25186802450 43321300214 50373604900 86642600428 100747209800 108303250535 173285200856 216606501070 433213002140 541516252675 866426004280 1083032505350 2166065010700 4332130021400