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43361121216 = 263759953861
BaseRepresentation
bin101000011000100001…
…100011001111000000
311010220220121012000110
4220120201203033000
51202300421334331
631530403151320
73063346310010
oct503041431700
9133826535013
1043361121216
111743124a176
1284a1675540
134120514c9a
142154b37c40
1511dbb0e946
hexa188633c0

43361121216 has 112 divisors (see below), whose sum is σ = 131337100800. Its totient is φ = 12367979520.

The previous prime is 43361121211. The next prime is 43361121227. The reversal of 43361121216 is 61212116334.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43361121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778126 + ... + 831986.

Almost surely, 243361121216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43361121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65668550400).

43361121216 is an abundant number, since it is smaller than the sum of its proper divisors (87975979584).

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

43361121216 is a wasteful number, since it uses less digits than its factorization.

43361121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54482 (or 54472 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 43361121216 in words is "forty-three billion, three hundred sixty-one million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 599 672 1198 1344 1797 2396 3594 4193 4792 7188 8386 9584 12579 14376 16772 19168 25158 28752 33544 38336 50316 53861 57504 67088 100632 107722 115008 134176 161583 201264 215444 268352 323166 377027 402528 430888 646332 754054 805056 861776 1131081 1292664 1508108 1723552 2262162 2585328 3016216 3447104 4524324 5170656 6032432 9048648 10341312 12064864 18097296 24129728 32262739 36194592 64525478 72389184 96788217 129050956 193576434 225839173 258101912 387152868 451678346 516203824 677517519 774305736 903356692 1032407648 1355035038 1548611472 1806713384 2064815296 2710070076 3097222944 3613426768 5420140152 6194445888 7226853536 10840280304 14453707072 21680560608 43361121216