Search a number
-
+
32420224142399 = 2329791673684229
BaseRepresentation
bin1110101111100011010111…
…11100011000110000111111
311020210100021011101212021002
413113301223330120300333
513222133104340024044
6152541351222000515
76554166243230462
oct727615374306077
9136710234355232
1032420224142399
11a36a381375805
12377730b57613b
1315122a2277602
1480120bd8d2d9
153b34cee4374e
hex1d7c6bf18c3f

32420224142399 has 32 divisors (see below), whose sum is σ = 35651556864000. Its totient is φ = 29385284632704.

The previous prime is 32420224142359. The next prime is 32420224142407. The reversal of 32420224142399 is 99324142202423.

It is a cyclic number.

It is not a de Polignac number, because 32420224142399 - 212 = 32420224138303 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32420224142359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6957617 + ... + 10641845.

It is an arithmetic number, because the mean of its divisors is an integer number (1114111152000).

Almost surely, 232420224142399 is an apocalyptic number.

32420224142399 is a deficient number, since it is larger than the sum of its proper divisors (3231332721601).

32420224142399 is a wasteful number, since it uses less digits than its factorization.

32420224142399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684527.

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 32420224142399 in words is "thirty-two trillion, four hundred twenty billion, two hundred twenty-four million, one hundred forty-two thousand, three hundred ninety-nine".

Divisors: 1 23 29 79 167 667 1817 2291 3841 4843 13193 52693 111389 303439 382597 3684229 8799731 84737267 106842641 291054091 615266243 2457380743 6694244093 8440568639 14151123589 17842721047 48606033197 194133078697 410382584081 1117938763531 1409574962713 32420224142399