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145729112848 = 24114330762723
BaseRepresentation
bin1000011110111000100…
…0011100101100010000
3111221011010000222002221
42013232020130230100
54341423123102343
6150540320350424
713346206010134
oct2075610345420
9457133028087
10145729112848
1156892315450
12242b0475414
13109857b41b7
1470a64853c4
153bcdb9b5ed
hex21ee21cb10

145729112848 has 80 divisors (see below), whose sum is σ = 316213261056. Its totient is φ = 64488251520.

The previous prime is 145729112843. The next prime is 145729112849. The reversal of 145729112848 is 848211927541.

It is a happy number.

145729112848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1457291128482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145729112795 and 145729112804.

It is not an unprimeable number, because it can be changed into a prime (145729112843) 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, 2292015 + ... + 2354737.

Almost surely, 2145729112848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145729112848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158106630528).

145729112848 is an abundant number, since it is smaller than the sum of its proper divisors (170484148208).

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

145729112848 is a wasteful number, since it uses less digits than its factorization.

145729112848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63092 (or 63086 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 52.

The spelling of 145729112848 in words is "one hundred forty-five billion, seven hundred twenty-nine million, one hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 307 344 473 614 688 946 1228 1892 2456 3377 3784 4912 6754 7568 13201 13508 26402 27016 52804 54032 62723 105608 125446 145211 211216 250892 290422 501784 580844 689953 1003568 1161688 1379906 2323376 2697089 2759812 5394178 5519624 10788356 11039248 19255961 21576712 29667979 38511922 43153424 59335958 77023844 118671916 154047688 211815571 237343832 308095376 423631142 474687664 828006323 847262284 1656012646 1694524568 3312025292 3389049136 6624050584 9108069553 13248101168 18216139106 36432278212 72864556424 145729112848