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141999696 = 24332571279
BaseRepresentation
bin10000111011010…
…11111001010000
3100220012022222000
420131223321100
5242322442241
622031314000
73342656166
oct1035537120
9326168860
10141999696
1173178523
123b67b900
132355a5b7
1414c05236
15c6edeb6
hex876be50

141999696 has 80 divisors (see below), whose sum is σ = 409497600. Its totient is φ = 47112192.

The previous prime is 141999661. The next prime is 141999701. The reversal of 141999696 is 696999141.

141999696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110385 + ... + 111663.

It is an arithmetic number, because the mean of its divisors is an integer number (5118720).

Almost surely, 2141999696 is an apocalyptic number.

141999696 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 141999696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204748800).

141999696 is an abundant number, since it is smaller than the sum of its proper divisors (267497904).

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

141999696 is a wasteful number, since it uses less digits than its factorization.

141999696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1541 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 141999696 is about 11916.3625322495. The cubic root of 141999696 is about 521.7099723270.

The spelling of 141999696 in words is "one hundred forty-one million, nine hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 432 514 771 1028 1279 1542 2056 2313 2558 3084 3837 4112 4626 5116 6168 6939 7674 9252 10232 11511 12336 13878 15348 18504 20464 23022 27756 30696 34533 37008 46044 55512 61392 69066 92088 111024 138132 184176 276264 328703 552528 657406 986109 1314812 1972218 2629624 2958327 3944436 5259248 5916654 7888872 8874981 11833308 15777744 17749962 23666616 35499924 47333232 70999848 141999696