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43440674340144 = 2437189143221087
BaseRepresentation
bin10011110000010010100011…
…11101100111110100110000
312200210212222021201020000210
421320021101331213310300
521143213000112341034
6232220211552144120
712102325256302644
oct1170112175476460
9180725867636023
1043440674340144
11129290a5194994
124a57115b38040
131b31590411c93
14aa277b51ac24
15504ed1b458e9
hex278251f67d30

43440674340144 has 80 divisors (see below), whose sum is σ = 115081008629760. Its totient is φ = 14115870236160.

The previous prime is 43440674340113. The next prime is 43440674340181. The reversal of 43440674340144 is 44104347604434.

43440674340144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 43440674340093 and 43440674340102.

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 15 ways as a sum of consecutive naturals, for example, 71307232 + ... + 71913855.

It is an arithmetic number, because the mean of its divisors is an integer number (1438512607872).

Almost surely, 243440674340144 is an apocalyptic number.

It is an amenable number.

43440674340144 is an abundant number, since it is smaller than the sum of its proper divisors (71640334289616).

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

43440674340144 is a wasteful number, since it uses less digits than its factorization.

43440674340144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143221258 (or 143221252 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 48.

The spelling of 43440674340144 in words is "forty-three trillion, four hundred forty billion, six hundred seventy-four million, three hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 89 142 178 213 267 284 356 426 534 568 712 852 1068 1136 1424 1704 2136 3408 4272 6319 12638 18957 25276 37914 50552 75828 101104 151656 303312 143221087 286442174 429663261 572884348 859326522 1145768696 1718653044 2291537392 3437306088 6874612176 10168697177 12746676743 20337394354 25493353486 30506091531 38240030229 40674788708 50986706972 61012183062 76480060458 81349577416 101973413944 122024366124 152960120916 162699154832 203946827888 244048732248 305920241832 488097464496 611840483664 905014048753 1810028097506 2715042146259 3620056195012 5430084292518 7240112390024 10860168585036 14480224780048 21720337170072 43440674340144