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43451505040 = 2452918729097
BaseRepresentation
bin101000011101111010…
…010101100110010000
311011011012200011022111
4220131322111212100
51202442041130130
631543352315104
73065524461466
oct503572254620
9134135604274
1043451505040
1117478272949
1285079a2a94
13413616c838
142162b44836
1511e4a1502a
hexa1de95990

43451505040 has 40 divisors (see below), whose sum is σ = 104508366840. Its totient is φ = 16781270016.

The previous prime is 43451505007. The next prime is 43451505077. The reversal of 43451505040 is 4050515434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2860538256 + 40590966784 = 53484^2 + 201472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×434515050402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 43451504993 and 43451505011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9362229 + ... + 9366868.

It is an arithmetic number, because the mean of its divisors is an integer number (2612709171).

Almost surely, 243451505040 is an apocalyptic number.

43451505040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43451505040 is an abundant number, since it is smaller than the sum of its proper divisors (61056861800).

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

43451505040 is a wasteful number, since it uses less digits than its factorization.

43451505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18729139 (or 18729133 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 43451505040 in words is "forty-three billion, four hundred fifty-one million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 18729097 37458194 74916388 93645485 149832776 187290970 299665552 374581940 543143813 749163880 1086287626 1498327760 2172575252 2715719065 4345150504 5431438130 8690301008 10862876260 21725752520 43451505040