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141677316 = 223311313847
BaseRepresentation
bin10000111000111…
…01001100000100
3100212120221202000
420130131030010
5242232133231
622020345300
73340144254
oct1034351404
9325527660
10141677316
1172a782a0
123b545230
1323476941
1414b5d964
15c6886e6
hex871d304

141677316 has 96 divisors (see below), whose sum is σ = 413736960. Its totient is φ = 41536800.

The previous prime is 141677299. The next prime is 141677323. The reversal of 141677316 is 613776141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34905 + ... + 38751.

It is an arithmetic number, because the mean of its divisors is an integer number (4309760).

Almost surely, 2141677316 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 141677316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206868480).

141677316 is an abundant number, since it is smaller than the sum of its proper divisors (272059644).

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

141677316 is a wasteful number, since it uses less digits than its factorization.

141677316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3894 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 141677316 is about 11902.8280673124. The cubic root of 141677316 is about 521.3148627942.

The spelling of 141677316 in words is "one hundred forty-one million, six hundred seventy-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 3847 4092 6138 7694 9207 11541 12276 15388 18414 23082 34623 36828 42317 46164 69246 84634 103869 119257 126951 138492 169268 207738 238514 253902 357771 380853 415476 477028 507804 715542 761706 1073313 1142559 1311827 1431084 1523412 2146626 2285118 2623654 3219939 3935481 4293252 4570236 5247308 6439878 7870962 11806443 12879756 15741924 23612886 35419329 47225772 70838658 141677316