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141074136 = 2335721481
BaseRepresentation
bin10000110100010…
…01111011011000
3100211110022100000
420122021323120
5242103333021
621555413000
73332052600
oct1032117330
9324408300
10141074136
11726a60a5
123b2b4160
13232c5228
1414a43c00
15c5b9b26
hex8689ed8

141074136 has 144 divisors (see below), whose sum is σ = 461228040. Its totient is φ = 40279680.

The previous prime is 141074117. The next prime is 141074137. The reversal of 141074136 is 631470141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141074137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94516 + ... + 95996.

Almost surely, 2141074136 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 141074136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230614020).

141074136 is an abundant number, since it is smaller than the sum of its proper divisors (320153904).

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

141074136 is a wasteful number, since it uses less digits than its factorization.

141074136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 141074136 is about 11877.4633655507. The cubic root of 141074136 is about 520.5739914247.

The spelling of 141074136 in words is "one hundred forty-one million, seventy-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 294 324 378 392 441 486 504 567 588 648 756 882 972 1134 1176 1323 1481 1512 1701 1764 1944 2268 2646 2962 3402 3528 3969 4443 4536 5292 5924 6804 7938 8886 10367 10584 11848 11907 13329 13608 15876 17772 20734 23814 26658 31101 31752 35544 39987 41468 47628 53316 62202 72569 79974 82936 93303 95256 106632 119961 124404 145138 159948 186606 217707 239922 248808 279909 290276 319896 359883 373212 435414 479844 559818 580552 653121 719766 746424 839727 870828 959688 1119636 1306242 1439532 1679454 1741656 1959363 2239272 2519181 2612484 2879064 3358908 3918726 5038362 5224968 5878089 6717816 7837452 10076724 11756178 15674904 17634267 20153448 23512356 35268534 47024712 70537068 141074136