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141929316 = 223219267163
BaseRepresentation
bin10000111010110…
…10101101100100
3100220001202102100
420131122231210
5242313214231
622030012100
73342244044
oct1035325544
9326052370
10141929316
117312a661
123b647030
1323534559
1414bc7724
15c6d81e6
hex875ab64

141929316 has 108 divisors (see below), whose sum is σ = 386650992. Its totient is φ = 43879968.

The previous prime is 141929287. The next prime is 141929317. The reversal of 141929316 is 613929141.

It is a happy number.

141929316 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 (36).

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

It is not an unprimeable number, because it can be changed into a prime (141929317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 870651 + ... + 870813.

Almost surely, 2141929316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141929316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193325496).

141929316 is an abundant number, since it is smaller than the sum of its proper divisors (244721676).

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

141929316 is a wasteful number, since it uses less digits than its factorization.

141929316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 254 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 141929316 is about 11913.4090838853. The cubic root of 141929316 is about 521.6237655327.

The spelling of 141929316 in words is "one hundred forty-one million, nine hundred twenty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 163 171 201 228 268 326 342 361 402 489 603 652 684 722 804 978 1083 1206 1273 1444 1467 1956 2166 2412 2546 2934 3097 3249 3819 4332 5092 5868 6194 6498 7638 9291 10921 11457 12388 12996 15276 18582 21842 22914 24187 27873 32763 37164 43684 45828 48374 55746 58843 65526 72561 96748 98289 111492 117686 131052 145122 176529 196578 207499 217683 235372 290244 353058 393156 414998 435366 529587 622497 706116 829996 870732 1059174 1244994 1867491 2118348 2489988 3734982 3942481 7469964 7884962 11827443 15769924 23654886 35482329 47309772 70964658 141929316