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141781936 = 2423419397
BaseRepresentation
bin10000111001101…
…10101110110000
3100212210021020211
420130312232300
5242244010221
622022513504
73341061262
oct1034665660
9325707224
10141781936
117303995a
123b595894
13234b244a
1414b89b32
15c6a96e1
hex8736bb0

141781936 has 40 divisors (see below), whose sum is σ = 293668704. Its totient is φ = 66147840.

The previous prime is 141781931. The next prime is 141781949. The reversal of 141781936 is 639187141.

141781936 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (141781931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10390 + ... + 19786.

Almost surely, 2141781936 is an apocalyptic number.

141781936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141781936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146834352).

141781936 is an abundant number, since it is smaller than the sum of its proper divisors (151886768).

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

141781936 is a wasteful number, since it uses less digits than its factorization.

141781936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9463 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 141781936 is about 11907.2220101920. Note that the first 3 decimals coincide. The cubic root of 141781936 is about 521.4431508956.

The spelling of 141781936 in words is "one hundred forty-one million, seven hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1886 3772 7544 9397 15088 18794 37588 75176 150352 216131 385277 432262 770554 864524 1541108 1729048 3082216 3458096 6164432 8861371 17722742 35445484 70890968 141781936