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245022253054240 = 2553741388894097
BaseRepresentation
bin110111101101100010110000…
…010110101111100100100000
31012010112220021002201110221011
4313231202300112233210200
5224103421033240213430
62225041400310310304
7102416162563104604
oct6755426026574440
91163486232643834
10245022253054240
117108739914a9a2
1223592b54958394
13a6946650114cc
1444711d7099504
151d4d8cee4522a
hexded8b05af920

245022253054240 has 48 divisors (see below), whose sum is σ = 594510074823672. Its totient is φ = 95360011997184.

The previous prime is 245022253054231. The next prime is 245022253054321. The reversal of 245022253054240 is 42450352220542.

245022253054240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 244622237283216 + 400015771024 = 15640404^2 + 632468^2 .

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 = 245022253054193 and 245022253054202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20694441129 + ... + 20694452968.

Almost surely, 2245022253054240 is an apocalyptic number.

245022253054240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245022253054240 is an abundant number, since it is smaller than the sum of its proper divisors (349487821769432).

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

245022253054240 is a wasteful number, since it uses less digits than its factorization.

245022253054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41388894149 (or 41388894141 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

The spelling of 245022253054240 in words is "two hundred forty-five trillion, twenty-two billion, two hundred fifty-three million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 41388894097 82777788194 165555576388 206944470485 331111152776 413888940970 662222305552 827777881940 1324444611104 1531389081589 1655555763880 3062778163178 3311111527760 6125556326356 6622223055520 7656945407945 12251112652712 15313890815890 24502225305424 30627781631780 49004450610848 61255563263560 122511126527120 245022253054240