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245142125514440 = 23571179591599193
BaseRepresentation
bin110111101111010010011001…
…010011111000111011001000
31012010222100200012220101201022
4313233102121103320323020
5224112402033112430230
62225212423205212012
7102430635253154060
oct6757223123707310
91163870605811638
10245142125514440
1171123212013520
12235b2229a01008
13a6a2a59961b2b
144476d294c23a0
151d51a98b061e5
hexdef4994f8ec8

245142125514440 has 64 divisors (see below), whose sum is σ = 687671417036160. Its totient is φ = 76407935224320.

The previous prime is 245142125514373. The next prime is 245142125514449. The reversal of 245142125514440 is 44415521241542.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 245142125514391 and 245142125514400.

It is not an unprimeable number, because it can be changed into a prime (245142125514449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39795796517 + ... + 39795802676.

It is an arithmetic number, because the mean of its divisors is an integer number (10744865891190).

Almost surely, 2245142125514440 is an apocalyptic number.

245142125514440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245142125514440 is an abundant number, since it is smaller than the sum of its proper divisors (442529291521720).

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

245142125514440 is a wasteful number, since it uses less digits than its factorization.

245142125514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79591599222 (or 79591599218 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 44.

Adding to 245142125514440 its reverse (44415521241542), we get a palindrome (289557646755982).

The spelling of 245142125514440 in words is "two hundred forty-five trillion, one hundred forty-two billion, one hundred twenty-five million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 79591599193 159183198386 318366396772 397957995965 557141194351 636732793544 795915991930 875507591123 1114282388702 1591831983860 1751015182246 2228564777404 2785705971755 3183663967720 3502030364492 4377537955615 4457129554808 5571411943510 6128553137861 7004060728984 8755075911230 11142823887020 12257106275722 17510151822460 22285647774040 24514212551444 30642765689305 35020303644920 49028425102888 61285531378610 122571062757220 245142125514440