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14435553420 = 22325383209393
BaseRepresentation
bin11010111000110110…
…10001000010001100
31101021001001002112200
431130123101002030
5214031000202140
610344232001500
71020504115401
oct153433210214
941231032480
1014435553420
116138547a42
12296a530290
13149091b0b2
149ad2942a8
155974bb030
hex35c6d108c

14435553420 has 72 divisors (see below), whose sum is σ = 43902383616. Its totient is φ = 3839411712.

The previous prime is 14435553413. The next prime is 14435553421. The reversal of 14435553420 is 2435553441.

14435553420 is a `hidden beast` number, since 14 + 43 + 55 + 534 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14435553421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35757 + ... + 173636.

It is an arithmetic number, because the mean of its divisors is an integer number (609755328).

Almost surely, 214435553420 is an apocalyptic number.

14435553420 is a gapful number since it is divisible by the number (10) 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 14435553420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21951191808).

14435553420 is an abundant number, since it is smaller than the sum of its proper divisors (29466830196).

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

14435553420 is a wasteful number, since it uses less digits than its factorization.

14435553420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209791 (or 209786 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 14435553420 in words is "fourteen billion, four hundred thirty-five million, five hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 383 766 1149 1532 1915 2298 3447 3830 4596 5745 6894 7660 11490 13788 17235 22980 34470 68940 209393 418786 628179 837572 1046965 1256358 1884537 2093930 2512716 3140895 3769074 4187860 6281790 7538148 9422685 12563580 18845370 37690740 80197519 160395038 240592557 320790076 400987595 481185114 721777671 801975190 962370228 1202962785 1443555342 1603950380 2405925570 2887110684 3608888355 4811851140 7217776710 14435553420