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43700379040 = 2552323395077
BaseRepresentation
bin101000101100101111…
…101101110110100000
311011210112222021021001
4220230233231312200
51203444244112130
632024202441344
73104636043613
oct505457556640
9134715867231
1043700379040
11175957a763a
128577203254
1341758a9866
142187c0a17a
15120b7c56ca
hexa2cbedda0

43700379040 has 96 divisors (see below), whose sum is σ = 107798221440. Its totient is φ = 16709704704.

The previous prime is 43700379001. The next prime is 43700379083. The reversal of 43700379040 is 4097300734.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8604982 + ... + 8610058.

It is an arithmetic number, because the mean of its divisors is an integer number (1122898140).

Almost surely, 243700379040 is an apocalyptic number.

43700379040 is a gapful number since it is divisible by the number (40) 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 43700379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53899110720).

43700379040 is an abundant number, since it is smaller than the sum of its proper divisors (64097842400).

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

43700379040 is a wasteful number, since it uses less digits than its factorization.

43700379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7454 (or 7446 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 37.

Adding to 43700379040 its reverse (4097300734), we get a palindrome (47797679774).

It can be divided in two parts, 43700 and 379040, that added together give a triangular number (422740 = T919).

The spelling of 43700379040 in words is "forty-three billion, seven hundred million, three hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 2339 3680 4678 5077 9356 10154 11695 18712 20308 23390 25385 37424 40616 46780 50770 53797 74848 81232 93560 101540 107594 116771 162464 187120 203080 215188 233542 268985 374240 406160 430376 467084 537970 583855 812320 860752 934168 1075940 1167710 1721504 1868336 2151880 2335420 3736672 4303760 4670840 8607520 9341680 11875103 18683360 23750206 47500412 59375515 95000824 118751030 190001648 237502060 273127369 380003296 475004120 546254738 950008240 1092509476 1365636845 1900016480 2185018952 2731273690 4370037904 5462547380 8740075808 10925094760 21850189520 43700379040