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141348192 = 2536412297
BaseRepresentation
bin10000110110011…
…00110101100000
3100211222020021020
420123030311200
5242141120232
622005325440
73334303566
oct1033146540
9324866236
10141348192
1172872a97
123b406880
132338cbab
1414ab5a36
15c620e2c
hex86ccd60

141348192 has 48 divisors (see below), whose sum is σ = 371779632. Its totient is φ = 47022080.

The previous prime is 141348167. The next prime is 141348209. The reversal of 141348192 is 291843141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1413481922 = 39958622763337728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60388 + ... + 62684.

It is an arithmetic number, because the mean of its divisors is an integer number (7745409).

Almost surely, 2141348192 is an apocalyptic number.

141348192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141348192 is an abundant number, since it is smaller than the sum of its proper divisors (230431440).

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

141348192 is a wasteful number, since it uses less digits than its factorization.

141348192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2943 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 141348192 is about 11888.9945748158. The cubic root of 141348192 is about 520.9108690086.

The spelling of 141348192 in words is "one hundred forty-one million, three hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 641 1282 1923 2297 2564 3846 4594 5128 6891 7692 9188 10256 13782 15384 18376 20512 27564 30768 36752 55128 61536 73504 110256 220512 1472377 2944754 4417131 5889508 8834262 11779016 17668524 23558032 35337048 47116064 70674096 141348192