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145930220720 = 2451913953543
BaseRepresentation
bin1000011111101000011…
…1100111010010110000
3111221200010110022020122
42013322013213102300
54342331114030340
6151012303025412
713354200260354
oct2077207472260
9457603408218
10145930220720
11569858947a9
122434789b268
13109b836883b
1470c5075464
153be1673db5
hex21fa1e74b0

145930220720 has 40 divisors (see below), whose sum is σ = 339465478176. Its totient is φ = 58341513728.

The previous prime is 145930220707. The next prime is 145930220731. The reversal of 145930220720 is 27022039541.

It is a happy number.

145930220720 is digitally balanced in base 2 and base 3, because in such bases 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 (40).

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 7 ways as a sum of consecutive naturals, for example, 323732 + ... + 629811.

Almost surely, 2145930220720 is an apocalyptic number.

145930220720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145930220720 is an abundant number, since it is smaller than the sum of its proper divisors (193535257456).

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

145930220720 is a wasteful number, since it uses less digits than its factorization.

145930220720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955469 (or 955463 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 145930220720 in words is "one hundred forty-five billion, nine hundred thirty million, two hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1913 3826 7652 9565 15304 19130 30608 38260 76520 153040 953543 1907086 3814172 4767715 7628344 9535430 15256688 19070860 38141720 76283440 1824127759 3648255518 7296511036 9120638795 14593022072 18241277590 29186044144 36482555180 72965110360 145930220720