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12444143503400 = 2352783107092457
BaseRepresentation
bin1011010100010110000011…
…0000001100100000101000
31122001122111202102210101122
42311011200300030200220
53112341101214102100
642244432142434412
72423026322342120
oct265054060144050
948048452383348
1012444143503400
113a68593653714
12148b912592a08
136c3629667a2b
1431042a779c80
15168a79e70985
hexb5160c0c828

12444143503400 has 96 divisors (see below), whose sum is σ = 33464251275840. Its totient is φ = 4215159068160.

The previous prime is 12444143503381. The next prime is 12444143503457. The reversal of 12444143503400 is 430534144421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53430029 + ... + 53662428.

It is an arithmetic number, because the mean of its divisors is an integer number (348585950790).

Almost surely, 212444143503400 is an apocalyptic number.

12444143503400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444143503400 is an abundant number, since it is smaller than the sum of its proper divisors (21020107772440).

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

12444143503400 is a wasteful number, since it uses less digits than its factorization.

12444143503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107092563 (or 107092554 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 12444143503400 its reverse (430534144421), we get a palindrome (12874677647821).

The spelling of 12444143503400 in words is "twelve trillion, four hundred forty-four billion, one hundred forty-three million, five hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 83 100 140 166 175 200 280 332 350 415 581 664 700 830 1162 1400 1660 2075 2324 2905 3320 4150 4648 5810 8300 11620 14525 16600 23240 29050 58100 116200 107092457 214184914 428369828 535462285 749647199 856739656 1070924570 1499294398 2141849140 2677311425 2998588796 3748235995 4283698280 5354622850 5997177592 7496471990 8888673931 10709245700 14992943980 17777347862 18741179975 21418491400 29985887960 35554695724 37482359950 44443369655 62220717517 71109391448 74964719900 88886739310 124441435034 149929439800 177773478620 222216848275 248882870068 311103587585 355546957240 444433696550 497765740136 622207175170 888867393100 1244414350340 1555517937925 1777734786200 2488828700680 3111035875850 6222071751700 12444143503400