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245215341400440 = 23353165918102527
BaseRepresentation
bin110111110000010110100101…
…010100010101000101111000
31012011020100122202111202211210
4313300112211110111011320
5224120102004344303230
62225310212255523120
7102436136520006465
oct6760264524250570
91164210582452753
10245215341400440
1171151273519314
12236044618294a0
13a6a992741a9b8
14447a6b325a66c
151d53931701eb0
hexdf05a5515178

245215341400440 has 64 divisors (see below), whose sum is σ = 759376541122560. Its totient is φ = 63281378424960.

The previous prime is 245215341400423. The next prime is 245215341400441. The reversal of 245215341400440 is 44004143512542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245215341400441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32959047544 + ... + 32959054983.

It is an arithmetic number, because the mean of its divisors is an integer number (11865258455040).

Almost surely, 2245215341400440 is an apocalyptic number.

245215341400440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245215341400440 is an abundant number, since it is smaller than the sum of its proper divisors (514161199722120).

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

245215341400440 is a wasteful number, since it uses less digits than its factorization.

245215341400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65918102572 (or 65918102568 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

Adding to 245215341400440 its reverse (44004143512542), we get a palindrome (289219484912982).

The spelling of 245215341400440 in words is "two hundred forty-five trillion, two hundred fifteen billion, three hundred forty-one million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 65918102527 131836205054 197754307581 263672410108 329590512635 395508615162 527344820216 659181025270 791017230324 988771537905 1318362050540 1582034460648 1977543075810 2043461178337 2636724101080 3955086151620 4086922356674 6130383535011 7910172303240 8173844713348 10217305891685 12260767070022 16347689426696 20434611783370 24521534140044 30651917675055 40869223566740 49043068280088 61303835350110 81738447133480 122607670700220 245215341400440