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145302511644 = 223229139178651
BaseRepresentation
bin1000011101010010110…
…1000110000000011100
3111220001101022101021100
42013110231012000130
54340034420333034
6150430121033100
713332505653633
oct2072455060034
9456041271240
10145302511644
1156693530674
12241b1625790
13109182ba954
14706595851a
153ba64d1099
hex21d4b4601c

145302511644 has 36 divisors (see below), whose sum is σ = 379957719960. Its totient is φ = 46764026400.

The previous prime is 145302511591. The next prime is 145302511667. The reversal of 145302511644 is 446115203541.

145302511644 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 2 + 5 + 1 + 1 + 644 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1453025116442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145302511599 and 145302511608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69588282 + ... + 69590369.

It is an arithmetic number, because the mean of its divisors is an integer number (10554381110).

Almost surely, 2145302511644 is an apocalyptic number.

It is an amenable number.

145302511644 is an abundant number, since it is smaller than the sum of its proper divisors (234655208316).

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

145302511644 is a wasteful number, since it uses less digits than its factorization.

145302511644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139178690 (or 139178685 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 145302511644 in words is "one hundred forty-five billion, three hundred two million, five hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 139178651 278357302 417535953 556714604 835071906 1252607859 1670143812 2505215718 4036180879 5010431436 8072361758 12108542637 16144723516 24217085274 36325627911 48434170548 72651255822 145302511644