Search a number
-
+
145511544042 = 23319336142197
BaseRepresentation
bin1000011110000100101…
…0011111010011101010
3111220120221122022211000
42013201022133103222
54341001423402132
6150502545215430
713340624500554
oct2074112372352
9456527568730
10145511544042
1156790522817
122424b631576
131094c6b8267
14708560c4d4
153bb9a2187c
hex21e129f4ea

145511544042 has 64 divisors (see below), whose sum is σ = 340487222400. Its totient is φ = 45936253440.

The previous prime is 145511544029. The next prime is 145511544103. The reversal of 145511544042 is 240445115541.

145511544042 is a `hidden beast` number, since 14 + 5 + 511 + 54 + 40 + 42 = 666.

145511544042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145511543988 and 145511544006.

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 31 ways as a sum of consecutive naturals, for example, 3427288 + ... + 3469484.

It is an arithmetic number, because the mean of its divisors is an integer number (5320112850).

Almost surely, 2145511544042 is an apocalyptic number.

145511544042 is an abundant number, since it is smaller than the sum of its proper divisors (194975678358).

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

145511544042 is a wasteful number, since it uses less digits than its factorization.

145511544042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45588 (or 45582 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 145511544042 its reverse (240445115541), we get a palindrome (385956659583).

The spelling of 145511544042 in words is "one hundred forty-five billion, five hundred eleven million, five hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 3361 6722 10083 20166 30249 42197 60498 63859 84394 90747 126591 127718 181494 191577 253182 379773 383154 574731 759546 801743 1139319 1149462 1603486 1724193 2278638 2405229 3448386 4810458 7215687 14431374 21647061 43294122 141824117 283648234 425472351 850944702 1276417053 2552834106 2694658223 3829251159 5389316446 7658502318 8083974669 16167949338 24251924007 48503848014 72755772021 145511544042