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145012255540 = 22519766155681
BaseRepresentation
bin1000011100001101100…
…1110110101100110100
3111212022011010211202021
42013003121312230310
54333441114134130
6150341231522524
713322352556135
oct2070331665464
9455264124667
10145012255540
1156554701999
1224130389444
13108a0121c89
14703919dc8c
153b8ac9937a
hex21c3676b34

145012255540 has 48 divisors (see below), whose sum is σ = 306540100944. Its totient is φ = 57622118400.

The previous prime is 145012255537. The next prime is 145012255613. The reversal of 145012255540 is 45552210541.

145012255540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20548649104 + 124463606436 = 143348^2 + 352794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145012255496 and 145012255505.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2576500 + ... + 2632180.

It is an arithmetic number, because the mean of its divisors is an integer number (6386252103).

Almost surely, 2145012255540 is an apocalyptic number.

145012255540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145012255540 is an abundant number, since it is smaller than the sum of its proper divisors (161527845404).

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

145012255540 is a wasteful number, since it uses less digits than its factorization.

145012255540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56548 (or 56546 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

The spelling of 145012255540 in words is "one hundred forty-five billion, twelve million, two hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 197 394 661 788 985 1322 1970 2644 3305 3940 6610 13220 55681 111362 130217 222724 260434 278405 520868 556810 651085 1113620 1302170 2604340 10969157 21938314 36805141 43876628 54845785 73610282 109691570 147220564 184025705 219383140 368051410 736102820 7250612777 14501225554 29002451108 36253063885 72506127770 145012255540