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41144224462240 = 255257151402889
BaseRepresentation
bin10010101101011101000101…
…11000100011010110100000
312101200100102202010020022011
421112232202320203112200
520343101332430242430
6223301221253322304
711444400144355354
oct1126564270432640
9171610382106264
1041144224462240
1112123193099109
124746039636394
1319c5b646b7493
14a23569213464
154b53c7eb722a
hex256ba2e235a0

41144224462240 has 24 divisors (see below), whose sum is σ = 97203230292420. Its totient is φ = 16457689784832.

The previous prime is 41144224462157. The next prime is 41144224462259. The reversal of 41144224462240 is 4226442244114.

It can be written as a sum of positive squares in 2 ways, for example, as 41013316538896 + 130907923344 = 6404164^2 + 361812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 41144224462193 and 41144224462202.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128575701285 + ... + 128575701604.

Almost surely, 241144224462240 is an apocalyptic number.

41144224462240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41144224462240 is an abundant number, since it is smaller than the sum of its proper divisors (56059005830180).

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

41144224462240 is a wasteful number, since it uses less digits than its factorization.

41144224462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257151402904 (or 257151402896 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 40.

The spelling of 41144224462240 in words is "forty-one trillion, one hundred forty-four billion, two hundred twenty-four million, four hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 257151402889 514302805778 1028605611556 1285757014445 2057211223112 2571514028890 4114422446224 5143028057780 8228844892448 10286056115560 20572112231120 41144224462240