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23141962350 = 23252135967049
BaseRepresentation
bin10101100011010111…
…100101001001101110
32012201210200111022200
4111203113211021232
5334343320243400
614344204322330
71446323301663
oct254327451156
965653614280
1023141962350
1198a6041921
12459a2433a6
13224a605760
1411976c3a6a
15906a02b00
hex5635e526e

23141962350 has 144 divisors (see below), whose sum is σ = 68093298000. Its totient is φ = 5599848960.

The previous prime is 23141962339. The next prime is 23141962369. The reversal of 23141962350 is 5326914132.

23141962350 is a `hidden beast` number, since 2 + 3 + 1 + 419 + 6 + 235 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311626 + ... + 378674.

It is an arithmetic number, because the mean of its divisors is an integer number (472870125).

Almost surely, 223141962350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23141962350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34046649000).

23141962350 is an abundant number, since it is smaller than the sum of its proper divisors (44951335650).

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

23141962350 is a wasteful number, since it uses less digits than its factorization.

23141962350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67139 (or 67131 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23141962350 in words is "twenty-three billion, one hundred forty-one million, nine hundred sixty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 59 65 75 78 90 117 118 130 150 177 195 225 234 295 325 354 390 450 531 585 590 650 767 885 975 1062 1170 1475 1534 1770 1950 2301 2655 2925 2950 3835 4425 4602 5310 5850 6903 7670 8850 11505 13275 13806 19175 23010 26550 34515 38350 57525 67049 69030 115050 134098 172575 201147 335245 345150 402294 603441 670490 871637 1005735 1206882 1676225 1743274 2011470 2614911 3017205 3352450 3955891 4358185 5028675 5229822 6034410 7844733 7911782 8716370 10057350 11867673 13074555 15086025 15689466 19779455 21790925 23735346 26149110 30172050 35603019 39223665 39558910 43581850 51426583 59338365 65372775 71206038 78447330 98897275 102853166 118676730 130745550 154279749 178015095 196118325 197794550 257132915 296691825 308559498 356030190 392236650 462839247 514265830 593383650 771398745 890075475 925678494 1285664575 1542797490 1780150950 2314196235 2571329150 3856993725 4628392470 7713987450 11570981175 23141962350