Search a number
-
+
245323354300240 = 24512732597409021
BaseRepresentation
bin110111110001111011001011…
…011000110101111101010000
31012011121200110100211121012011
4313301323023120311331100
5224123334212200101430
62225431554303112304
7102450012262343056
oct6761731330657520
91164550410747164
10245323354300240
1171193060a32657
1223621386ba2694
13a6b6b7c038c68
1444819dc5821d6
151d5665413422a
hexdf1ecb635f50

245323354300240 has 80 divisors (see below), whose sum is σ = 575044426229760. Its totient is φ = 97326783429120.

The previous prime is 245323354300223. The next prime is 245323354300267. The reversal of 245323354300240 is 42003453323542.

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

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 = 245323354300193 and 245323354300202.

It is a congruent number.

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, 29406930 + ... + 36815950.

It is an arithmetic number, because the mean of its divisors is an integer number (7188055327872).

Almost surely, 2245323354300240 is an apocalyptic number.

245323354300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245323354300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287522213114880).

245323354300240 is an abundant number, since it is smaller than the sum of its proper divisors (329721071929520).

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

245323354300240 is a wasteful number, since it uses less digits than its factorization.

245323354300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7412420 (or 7412414 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 40.

The spelling of 245323354300240 in words is "two hundred forty-five trillion, three hundred twenty-three billion, three hundred fifty-four million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 3259 5080 6518 10160 13036 16295 26072 32590 52144 65180 130360 260720 413893 827786 1655572 2069465 3311144 4138930 6622288 7409021 8277860 14818042 16555720 29636084 33111440 37045105 59272168 74090210 118544336 148180420 296360840 592721680 940945667 1881891334 3763782668 4704728335 7527565336 9409456670 15055130672 18818913340 24145999439 37637826680 48291998878 75275653360 96583997756 120729997195 193167995512 241459994390 386335991024 482919988780 965839977560 1931679955120 3066541928753 6133083857506 12266167715012 15332709643765 24532335430024 30665419287530 49064670860048 61330838575060 122661677150120 245323354300240