Search a number
-
+
23152430143242 = 232107151355722381
BaseRepresentation
bin1010100001110100110000…
…10111111101011100001010
310000222100110122221100210200
411100322120113331130022
511013312134104040432
6121124025104353030
74606464542066661
oct520723027753412
9100870418840720
1023152430143242
117416988262504
12271b11a015776
13cbc3599a3c6a
145a082556ddd8
152a23ab6d6a7c
hex150e985fd70a

23152430143242 has 96 divisors (see below), whose sum is σ = 50984338114944. Its totient is φ = 7592244912000.

The previous prime is 23152430143223. The next prime is 23152430143243. The reversal of 23152430143242 is 24234103425132.

23152430143242 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 24 + 301 + 4 + 324 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23152430143197 and 23152430143206.

It is not an unprimeable number, because it can be changed into a prime (23152430143243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034456892 + ... + 1034479272.

It is an arithmetic number, because the mean of its divisors is an integer number (531086855364).

Almost surely, 223152430143242 is an apocalyptic number.

23152430143242 is an abundant number, since it is smaller than the sum of its proper divisors (27831907971702).

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

23152430143242 is a wasteful number, since it uses less digits than its factorization.

23152430143242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26204 (or 26201 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 23152430143242 its reverse (24234103425132), we get a palindrome (47386533568374).

The spelling of 23152430143242 in words is "twenty-three trillion, one hundred fifty-two billion, four hundred thirty million, one hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 107 151 214 302 321 453 642 906 963 1359 1926 2718 3557 7114 10671 16157 21342 22381 32013 32314 44762 48471 64026 67143 96942 134286 145413 201429 290826 380599 402858 537107 761198 1074214 1141797 1611321 2283594 2394767 3222642 3379531 3425391 4789534 4833963 6759062 6850782 7184301 9667926 10138593 14368602 20277186 21552903 30415779 43105806 57470449 60831558 79609217 114940898 159218434 172411347 238827651 344822694 361609817 477655302 517234041 716482953 723219634 1034468082 1084829451 1432965906 2169658902 3254488353 6508976706 8518186219 12020991767 17036372438 24041983534 25554558657 36062975301 51109117314 72125950602 76663675971 108188925903 153327351942 216377851806 1286246119069 2572492238138 3858738357207 7717476714414 11576215071621 23152430143242