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141383352 = 233112959313
BaseRepresentation
bin10000110110101…
…01011010111000
3100212001000111110
420123111122320
5242143231402
622010200320
73334511235
oct1033253270
9325030443
10141383352
1172897450
123b4230a0
13233a2bb6
1414ac478c
15c62b56c
hex86d56b8

141383352 has 128 divisors (see below), whose sum is σ = 406944000. Its totient is φ = 40535040.

The previous prime is 141383321. The next prime is 141383387. The reversal of 141383352 is 253383141.

141383352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 451548 + ... + 451860.

It is an arithmetic number, because the mean of its divisors is an integer number (3179250).

Almost surely, 2141383352 is an apocalyptic number.

141383352 is a gapful number since it is divisible by the number (12) 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 141383352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203472000).

141383352 is an abundant number, since it is smaller than the sum of its proper divisors (265560648).

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

141383352 is a wasteful number, since it uses less digits than its factorization.

141383352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 417 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 141383352 is about 11890.4731613170. The cubic root of 141383352 is about 520.9540571751.

The spelling of 141383352 in words is "one hundred forty-one million, three hundred eighty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 59 66 87 88 116 118 132 174 177 232 236 264 313 319 348 354 472 626 638 649 696 708 939 957 1252 1276 1298 1416 1711 1878 1914 1947 2504 2552 2596 3422 3443 3756 3828 3894 5133 5192 6844 6886 7512 7656 7788 9077 10266 10329 13688 13772 15576 18154 18467 18821 20532 20658 27231 27544 36308 36934 37642 41064 41316 54462 55401 56463 72616 73868 75284 82632 99847 108924 110802 112926 147736 150568 199694 203137 217848 221604 225852 299541 399388 406274 443208 451704 535543 599082 609411 798776 812548 1071086 1198164 1218822 1606629 1625096 2142172 2396328 2437644 3213258 4284344 4875288 5890973 6426516 11781946 12853032 17672919 23563892 35345838 47127784 70691676 141383352