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141422292 = 223211596053
BaseRepresentation
bin10000110110111…
…10111011010100
3100212002222220200
420123132323110
5242201003132
622011100500
73335032614
oct1033367324
9325088820
10141422292
1172913730
123b441730
13233b783b
1414ad4a44
15c637d7c
hex86deed4

141422292 has 72 divisors (see below), whose sum is σ = 396658080. Its totient is φ = 42121920.

The previous prime is 141422291. The next prime is 141422293. The reversal of 141422292 is 292224141.

It is an interprime number because it is at equal distance from previous prime (141422291) and next prime (141422293).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141422291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20338 + ... + 26390.

It is an arithmetic number, because the mean of its divisors is an integer number (5509140).

Almost surely, 2141422292 is an apocalyptic number.

141422292 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 141422292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198329040).

141422292 is an abundant number, since it is smaller than the sum of its proper divisors (255235788).

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

141422292 is a wasteful number, since it uses less digits than its factorization.

141422292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6128 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 141422292 is about 11892.1104939367. The cubic root of 141422292 is about 521.0018800826.

The spelling of 141422292 in words is "one hundred forty-one million, four hundred twenty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 236 354 396 531 649 708 1062 1298 1947 2124 2596 3894 5841 6053 7788 11682 12106 18159 23364 24212 36318 54477 66583 72636 108954 133166 199749 217908 266332 357127 399498 599247 714254 798996 1071381 1198494 1428508 2142762 2396988 3214143 3928397 4285524 6428286 7856794 11785191 12856572 15713588 23570382 35355573 47140764 70711146 141422292