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145046003840 = 275435270567
BaseRepresentation
bin1000011100010101101…
…0100110000010000000
3111212101111122102201022
42013011122212002000
54334023234110330
6150344435125012
713323242455523
oct2070532460200
9455344572638
10145046003840
1156571762551
122413b743768
13108a710a09a
14703d866bba
153b8dc13ae5
hex21c56a6080

145046003840 has 64 divisors (see below), whose sum is σ = 354814637760. Its totient is φ = 56669125632.

The previous prime is 145046003783. The next prime is 145046003897. The reversal of 145046003840 is 48300640541.

It is an interprime number because it is at equal distance from previous prime (145046003783) and next prime (145046003897).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 145046003840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607764 + ... + 2662803.

It is an arithmetic number, because the mean of its divisors is an integer number (5543978715).

Almost surely, 2145046003840 is an apocalyptic number.

145046003840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145046003840 is an abundant number, since it is smaller than the sum of its proper divisors (209768633920).

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

145046003840 is an equidigital number, since it uses as much as digits as its factorization.

145046003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5270629 (or 5270617 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 145046003840 in words is "one hundred forty-five billion, forty-six million, three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 640 688 860 1376 1720 2752 3440 5504 6880 13760 27520 5270567 10541134 21082268 26352835 42164536 52705670 84329072 105411340 168658144 210822680 226634381 337316288 421645360 453268762 674632576 843290720 906537524 1133171905 1686581440 1813075048 2266343810 3373162880 3626150096 4532687620 7252300192 9065375240 14504600384 18130750480 29009200768 36261500960 72523001920 145046003840