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44343032101040 = 24510091292342509
BaseRepresentation
bin10100001010100011010101…
…01011010011100010110000
312211000011010011000222011202
422011101222223103202300
521303004012204213130
6234150524022430332
712224451446564651
oct1205215253234260
9184004104028152
1044343032101040
1113146857667402
124b81b878923a8
131b986b74b7c7a
14ad42ddac9528
1551d6e6153145
hex28546aad38b0

44343032101040 has 80 divisors (see below), whose sum is σ = 103210141226400. Its totient is φ = 17717845856256.

The previous prime is 44343032100947. The next prime is 44343032101063. The reversal of 44343032101040 is 4010123034344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 44343032100994 and 44343032101012.

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, 1043123306 + ... + 1043165814.

It is an arithmetic number, because the mean of its divisors is an integer number (1290126765330).

Almost surely, 244343032101040 is an apocalyptic number.

44343032101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44343032101040 is an abundant number, since it is smaller than the sum of its proper divisors (58867109125360).

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

44343032101040 is a wasteful number, since it uses less digits than its factorization.

44343032101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56454 (or 56448 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 44343032101040 its reverse (4010123034344), we get a palindrome (48353155135384).

The spelling of 44343032101040 in words is "forty-four trillion, three hundred forty-three billion, thirty-two million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1009 2018 4036 5045 8072 10090 12923 16144 20180 25846 40360 42509 51692 64615 80720 85018 103384 129230 170036 206768 212545 258460 340072 425090 516920 680144 850180 1033840 1700360 3400720 13039307 26078614 42891581 52157228 65196535 85783162 104314456 130393070 171566324 208628912 214457905 260786140 343132648 428915810 521572280 549343807 686265296 857831620 1043144560 1098687614 1715663240 2197375228 2746719035 3431326480 4394750456 5493438070 8789500912 10986876140 21973752280 43947504560 554287901263 1108575802526 2217151605052 2771439506315 4434303210104 5542879012630 8868606420208 11085758025260 22171516050520 44343032101040