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245344355040 = 25354567111919
BaseRepresentation
bin1110010001111110101…
…0011100001011100000
3212110021110200120212110
43210133222130023200
513004431123330130
6304413140555320
723503601415561
oct3443752341340
9773243616773
10245344355040
1195060546294
123b6713b2b40
131a19c68aca5
14bc3638c168
1565ae233ab0
hex391fa9c2e0

245344355040 has 96 divisors (see below), whose sum is σ = 773010846720. Its totient is φ = 65410251264.

The previous prime is 245344355021. The next prime is 245344355057. The reversal of 245344355040 is 40553443542.

245344355040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 245344355040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136201 + ... + 2248119.

It is an arithmetic number, because the mean of its divisors is an integer number (8052196320).

Almost surely, 2245344355040 is an apocalyptic number.

245344355040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245344355040 is an abundant number, since it is smaller than the sum of its proper divisors (527666491680).

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

245344355040 is a wasteful number, since it uses less digits than its factorization.

245344355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116504 (or 116496 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 245344355040 its reverse (40553443542), we get a palindrome (285897798582).

The spelling of 245344355040 in words is "two hundred forty-five billion, three hundred forty-four million, three hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4567 9134 13701 18268 22835 27402 36536 45670 54804 68505 73072 91340 109608 111919 137010 146144 182680 219216 223838 274020 335757 365360 438432 447676 548040 559595 671514 730720 895352 1096080 1119190 1343028 1678785 1790704 2192160 2238380 2686056 3357570 3581408 4476760 5372112 6715140 8953520 10744224 13430280 17907040 26860560 53721120 511134073 1022268146 1533402219 2044536292 2555670365 3066804438 4089072584 5111340730 6133608876 7667011095 8178145168 10222681460 12267217752 15334022190 16356290336 20445362920 24534435504 30668044380 40890725840 49068871008 61336088760 81781451680 122672177520 245344355040