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44200034120 = 23511118784629
BaseRepresentation
bin101001001010100001…
…101111111101001000
311020002101011101011202
4221022201233331020
51211010202042440
632145532043332
73123214043144
oct511241577510
9136071141152
1044200034120
1117821848920
128696603548
134225270958
1421d4312224
15123a5c1615
hexa4a86ff48

44200034120 has 64 divisors (see below), whose sum is σ = 108583675200. Its totient is φ = 16059009280.

The previous prime is 44200034107. The next prime is 44200034141. The reversal of 44200034120 is 2143000244.

44200034120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 44200034092 and 44200034101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 479966 + ... + 564594.

It is an arithmetic number, because the mean of its divisors is an integer number (1696619925).

Almost surely, 244200034120 is an apocalyptic number.

44200034120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44200034120 is an abundant number, since it is smaller than the sum of its proper divisors (64383641080).

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

44200034120 is a wasteful number, since it uses less digits than its factorization.

44200034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85838 (or 85834 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44200034120 its reverse (2143000244), we get a palindrome (46343034364).

The spelling of 44200034120 in words is "forty-four billion, two hundred million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1187 2374 4748 5935 9496 11870 13057 23740 26114 47480 52228 65285 84629 104456 130570 169258 261140 338516 423145 522280 677032 846290 930919 1692580 1861838 3385160 3723676 4654595 7447352 9309190 18618380 37236760 100454623 200909246 401818492 502273115 803636984 1004546230 1105000853 2009092460 2210001706 4018184920 4420003412 5525004265 8840006824 11050008530 22100017060 44200034120