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23444121420 = 22325296767033
BaseRepresentation
bin10101110101011000…
…001110011101001100
32020111212020202122100
4111311120032131030
5341003143341140
614434200515100
71456652513136
oct256530163514
966455222570
1023444121420
119a40660465
12466347ba90
1322980ab1c5
1411c589a056
159232db530
hex57560e74c

23444121420 has 144 divisors (see below), whose sum is σ = 74665150560. Its totient is φ = 5946006528.

The previous prime is 23444121419. The next prime is 23444121427. The reversal of 23444121420 is 2412144432.

23444121420 is a `hidden beast` number, since 2 + 3 + 4 + 441 + 214 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (23444121427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316224 + ... + 383256.

It is an arithmetic number, because the mean of its divisors is an integer number (518507990).

Almost surely, 223444121420 is an apocalyptic number.

23444121420 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 23444121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37332575280).

23444121420 is an abundant number, since it is smaller than the sum of its proper divisors (51221029140).

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

23444121420 is a wasteful number, since it uses less digits than its factorization.

23444121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67144 (or 67139 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 23444121420 its reverse (2412144432), we get a palindrome (25856265852).

The spelling of 23444121420 in words is "twenty-three billion, four hundred forty-four million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 67 87 90 116 134 145 174 180 201 261 268 290 335 348 402 435 522 580 603 670 804 870 1005 1044 1206 1305 1340 1740 1943 2010 2412 2610 3015 3886 4020 5220 5829 6030 7772 9715 11658 12060 17487 19430 23316 29145 34974 38860 58290 67033 69948 87435 116580 134066 174870 201099 268132 335165 349740 402198 603297 670330 804396 1005495 1206594 1340660 1943957 2010990 2413188 3016485 3887914 4021980 4491211 5831871 6032970 7775828 8982422 9719785 11663742 12065940 13473633 17495613 17964844 19439570 22456055 23327484 26947266 29159355 34991226 38879140 40420899 44912110 53894532 58318710 67368165 69982452 80841798 87478065 89824220 116637420 130245119 134736330 161683596 174956130 202104495 260490238 269472660 349912260 390735357 404208990 520980476 651225595 781470714 808417980 1172206071 1302451190 1562941428 1953676785 2344412142 2604902380 3907353570 4688824284 5861030355 7814707140 11722060710 23444121420