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145596941172 = 223235311457109
BaseRepresentation
bin1000011110011001000…
…0010000001101110100
3111220210220022221122200
42013212100100031310
54341140304104142
6150515235424500
713343012403024
oct2074620201564
9456726287580
10145596941172
115682474a961
1224274155130
13109642b80c7
147092abba84
153bc228e64c
hex21e6410374

145596941172 has 36 divisors (see below), whose sum is σ = 369079341540. Its totient is φ = 48394824192.

The previous prime is 145596941129. The next prime is 145596941209. The reversal of 145596941172 is 271149695541.

145596941172 is a `hidden beast` number, since 1 + 4 + 5 + 596 + 9 + 41 + 1 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111713703696 + 33883237476 = 334236^2 + 184074^2 .

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

It is a super-3 number, since 3×1455969411723 (a number of 34 digits) contains 333 as substring.

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, 5715847 + ... + 5741262.

Almost surely, 2145596941172 is an apocalyptic number.

145596941172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145596941172 is an abundant number, since it is smaller than the sum of its proper divisors (223482400368).

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

145596941172 is a wasteful number, since it uses less digits than its factorization.

145596941172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11457472 (or 11457467 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 145596941172 in words is "one hundred forty-five billion, five hundred ninety-six million, nine hundred forty-one thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 353 706 1059 1412 2118 3177 4236 6354 12708 11457109 22914218 34371327 45828436 68742654 103113981 137485308 206227962 412455924 4044359477 8088718954 12133078431 16177437908 24266156862 36399235293 48532313724 72798470586 145596941172