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2454421004442 = 234113137439063
BaseRepresentation
bin100011101101110110111…
…001000110000010011010
322200122021211010200120000
4203231312321012002122
5310203123234120232
65115313452113430
7342216561211431
oct43556671060232
98618254120500
102454421004442
11866a06741310
12337824765876
1314a5b284aa94
1486b1a5a8118
1543ca245327c
hex23b76e4609a

2454421004442 has 80 divisors (see below), whose sum is σ = 6001622016192. Its totient is φ = 743525153280.

The previous prime is 2454421004401. The next prime is 2454421004443. The reversal of 2454421004442 is 2444001244542.

2454421004442 is a `hidden beast` number, since 2 + 4 + 544 + 2 + 100 + 4 + 4 + 4 + 2 = 666.

2454421004442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2454421004397 and 2454421004406.

It is not an unprimeable number, because it can be changed into a prime (2454421004443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5370603 + ... + 5809665.

Almost surely, 22454421004442 is an apocalyptic number.

2454421004442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2454421004442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000811008096).

2454421004442 is an abundant number, since it is smaller than the sum of its proper divisors (3547201011750).

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

2454421004442 is a wasteful number, since it uses less digits than its factorization.

2454421004442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442225 (or 442216 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 36.

Adding to 2454421004442 its reverse (2444001244542), we get a palindrome (4898422248984).

The spelling of 2454421004442 in words is "two trillion, four hundred fifty-four billion, four hundred twenty-one million, four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 3137 6274 9411 18822 28233 34507 56466 69014 84699 103521 169398 207042 254097 310563 439063 508194 621126 878126 931689 1317189 1863378 2634378 2795067 3951567 4829693 5590134 7903134 9659386 11854701 14489079 23709402 28978158 35564103 43467237 71128206 86934474 130401711 260803422 391205133 782410266 1377340631 2754681262 4132021893 8264043786 12396065679 15150746941 24792131358 30301493882 37188197037 45452240823 74376394074 90904481646 111564591111 136356722469 223129182222 272713444938 409070167407 818140334814 1227210502221 2454421004442