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21404132000 = 255341130513
BaseRepresentation
bin10011111011110010…
…010010001010100000
32001020200122120020122
4103323302102022200
5322313424211000
613455524455412
71355262056126
oct237362221240
961220576218
1021404132000
119094090199
12419424a568
132031572084
141070991916
1585417a085
hex4fbc922a0

21404132000 has 96 divisors (see below), whose sum is σ = 53873046864. Its totient is φ = 8352768000.

The previous prime is 21404131909. The next prime is 21404132003. The reversal of 21404132000 is 23140412.

It can be written as a sum of positive squares in 8 ways, for example, as 7463824 + 21396668176 = 2732^2 + 146276^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21404132000.

It is not an unprimeable number, because it can be changed into a prime (21404132003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98744 + ... + 229256.

Almost surely, 221404132000 is an apocalyptic number.

21404132000 is a gapful number since it is divisible by the number (20) 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 21404132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26936523432).

21404132000 is an abundant number, since it is smaller than the sum of its proper divisors (32468914864).

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

21404132000 is a wasteful number, since it uses less digits than its factorization.

21404132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130579 (or 130561 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 21404132000 its reverse (23140412), we get a palindrome (21427272412).

The spelling of 21404132000 in words is "twenty-one billion, four hundred four million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1640 2000 2050 3280 4000 4100 5125 6560 8200 10250 16400 20500 32800 41000 82000 130513 164000 261026 522052 652565 1044104 1305130 2088208 2610260 3262825 4176416 5220520 5351033 6525650 10441040 10702066 13051300 16314125 20882080 21404132 26102600 26755165 32628250 42808264 52205200 53510330 65256500 85616528 104410400 107020660 130513000 133775825 171233056 214041320 261026000 267551650 428082640 522052000 535103300 668879125 856165280 1070206600 1337758250 2140413200 2675516500 4280826400 5351033000 10702066000 21404132000