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141864469292 = 227132359928289
BaseRepresentation
bin1000010000011111001…
…0000000001100101100
3111120011210000201210102
42010013302000030230
54311014301004132
6145101023530232
713151351043560
oct2040762001454
9446153021712
10141864469292
1155189881557
12235b2159978
13104bac35370
146c1b0c76a0
153a54761c62
hex2107c8032c

141864469292 has 96 divisors (see below), whose sum is σ = 319382784000. Its totient is φ = 53590597632.

The previous prime is 141864469291. The next prime is 141864469297. The reversal of 141864469292 is 292964468141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (141864469291) 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 31 ways as a sum of consecutive naturals, for example, 5000684 + ... + 5028972.

It is an arithmetic number, because the mean of its divisors is an integer number (3326904000).

Almost surely, 2141864469292 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 141864469292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159691392000).

141864469292 is an abundant number, since it is smaller than the sum of its proper divisors (177518314708).

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

141864469292 is a wasteful number, since it uses less digits than its factorization.

141864469292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28935 (or 28933 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The spelling of 141864469292 in words is "one hundred forty-one billion, eight hundred sixty-four million, four hundred sixty-nine thousand, two hundred ninety-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 599 644 1196 1198 2093 2396 4186 4193 7787 8372 8386 13777 15574 16772 27554 28289 31148 54509 55108 56578 96439 109018 113156 179101 192878 198023 218036 358202 367757 385756 396046 650647 716404 735514 792092 1253707 1301294 1471028 2507414 2574299 2602588 4554529 5014828 5148598 8458411 9109058 10297196 16916822 16945111 18218116 33833644 33890222 59208877 67780444 118417754 118615777 220286443 236835508 237231554 389737553 440572886 474463108 779475106 881145772 1542005101 1558950212 2728162871 3084010202 5066588189 5456325742 6168020404 10133176378 10912651484 20266352756 35466117323 70932234646 141864469292