Search a number
-
+
23305342342320 = 2432537874825163
BaseRepresentation
bin1010100110010001100101…
…01001101101010010110000
310001111222011101012220210100
411103020302221231102300
511023313320114423240
6121322154303432400
74623520052250363
oct523106251552260
9101458141186710
1023305342342320
117475816201955
122744893bb5700
1310008b86a592c
145a7dad9d00da
152a635acb4e30
hex153232a6d4b0

23305342342320 has 120 divisors (see below), whose sum is σ = 80382435368976. Its totient is φ = 6046791519744.

The previous prime is 23305342342309. The next prime is 23305342342333. The reversal of 23305342342320 is 2324324350332.

23305342342320 is a `hidden beast` number, since 2 + 3 + 30 + 534 + 23 + 42 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437385942 + ... + 437439221.

Almost surely, 223305342342320 is an apocalyptic number.

23305342342320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23305342342320 is an abundant number, since it is smaller than the sum of its proper divisors (57077093026656).

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

23305342342320 is a wasteful number, since it uses less digits than its factorization.

23305342342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874825219 (or 874825210 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 36.

Adding to 23305342342320 its reverse (2324324350332), we get a palindrome (25629666692652).

The spelling of 23305342342320 in words is "twenty-three trillion, three hundred five billion, three hundred forty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 874825163 1749650326 2624475489 3499300652 4374125815 5248950978 6998601304 7873426467 8748251630 10497901956 13122377445 13997202608 15746852934 17496503260 20995803912 26244754890 31493705868 32368531031 34993006520 39367132335 41991607824 52489509780 62987411736 64737062062 69986013040 78734264670 97105593093 104979019560 125974823472 129474124124 157468529340 161842655155 194211186186 209958039120 258948248248 291316779279 314937058680 323685310310 388422372372 485527965465 517896496496 582633558558 629874117360 647370620620 776844744744 971055930930 1165267117116 1294741241240 1456583896395 1553689489488 1942111861860 2330534234232 2589482482480 2913167792790 3884223723720 4661068468464 5826335585580 7768447447440 11652671171160 23305342342320