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245151505040 = 24513235722601
BaseRepresentation
bin1110010001010000101…
…0110001101010010000
3212102210000210210101212
43210110022301222100
513004032241130130
6304342051315252
723466040260641
oct3442412615220
9772700723355
10245151505040
1194a716a7222
123b6188abb28
131a16b738270
14bc1890b6c8
15659c33ce95
hex39142b1a90

245151505040 has 40 divisors (see below), whose sum is σ = 613821655608. Its totient is φ = 90517478400.

The previous prime is 245151505033. The next prime is 245151505069. The reversal of 245151505040 is 40505151542.

245151505040 is digitally balanced in base 3, 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 19932921856 + 225218583184 = 141184^2 + 474572^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 245151504988 and 245151505006.

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, 117860261 + ... + 117862340.

Almost surely, 2245151505040 is an apocalyptic number.

245151505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245151505040 is an abundant number, since it is smaller than the sum of its proper divisors (368670150568).

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

245151505040 is a wasteful number, since it uses less digits than its factorization.

245151505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235722627 (or 235722621 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

Adding to 245151505040 its reverse (40505151542), we get a palindrome (285656656582).

The spelling of 245151505040 in words is "two hundred forty-five billion, one hundred fifty-one million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 235722601 471445202 942890404 1178613005 1885780808 2357226010 3064393813 3771561616 4714452020 6128787626 9428904040 12257575252 15321969065 18857808080 24515150504 30643938130 49030301008 61287876260 122575752520 245151505040