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13200041442240 = 263254583347723
BaseRepresentation
bin1100000000010101111111…
…0001111111101111000000
31201201220121120202200211200
43000011133301333233000
53212232141102122430
644024003150541200
72531446221661302
oct300053761775700
951656546680750
1013200041442240
11422a1192a7084
12159230b207800
137499b2757713
14338c57813972
1517d56b595460
hexc015fc7fbc0

13200041442240 has 84 divisors (see below), whose sum is σ = 45402642553944. Its totient is φ = 3520011050496.

The previous prime is 13200041442227. The next prime is 13200041442271. The reversal of 13200041442240 is 4224414000231.

13200041442240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 0 + 414 + 4 + 2 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2291670982 + ... + 2291676741.

Almost surely, 213200041442240 is an apocalyptic number.

13200041442240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200041442240 is an abundant number, since it is smaller than the sum of its proper divisors (32202601111704).

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

13200041442240 is a wasteful number, since it uses less digits than its factorization.

13200041442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583347746 (or 4583347733 counting only the distinct ones).

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

Adding to 13200041442240 its reverse (4224414000231), we get a palindrome (17424455442471).

It can be divided in two parts, 1320004 and 1442240, that added together give a square (2762244 = 16622).

The spelling of 13200041442240 in words is "thirteen trillion, two hundred billion, forty-one million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4583347723 9166695446 13750043169 18333390892 22916738615 27500086338 36666781784 41250129507 45833477230 55000172676 68750215845 73333563568 82500259014 91666954460 110000345352 137500431690 146667127136 165000518028 183333908920 206250647535 220000690704 275000863380 293334254272 330001036056 366667817840 412501295070 440001381408 550001726760 660002072112 733335635680 825002590140 880002762816 1100003453520 1320004144224 1466671271360 1650005180280 2200006907040 2640008288448 3300010360560 4400013814080 6600020721120 13200041442240