Search a number
-
+
23140432212000 = 253531928369351
BaseRepresentation
bin1010100001011110011010…
…01111011111000000100000
310000221012111111201022020220
411100233031033133000200
511013113101121241000
6121114322351203040
74605561324260415
oct520571517370040
9100835444638226
1023140432212000
117411890794154
12271892bb16480
13cbb1970b4c6c
145a0007d3010c
152a1e082241a0
hex150bcd3df020

23140432212000 has 96 divisors (see below), whose sum is σ = 75808055965824. Its totient is φ = 6170781920000.

The previous prime is 23140432211983. The next prime is 23140432212049. The reversal of 23140432212000 is 21223404132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964172676 + ... + 964196675.

It is an arithmetic number, because the mean of its divisors is an integer number (789667249644).

Almost surely, 223140432212000 is an apocalyptic number.

23140432212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23140432212000 is an abundant number, since it is smaller than the sum of its proper divisors (52667623753824).

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

23140432212000 is a wasteful number, since it uses less digits than its factorization.

23140432212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928369379 (or 1928369361 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23140432212000 its reverse (21223404132), we get a palindrome (23161655616132).

The spelling of 23140432212000 in words is "twenty-three trillion, one hundred forty billion, four hundred thirty-two million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1928369351 3856738702 5785108053 7713477404 9641846755 11570216106 15426954808 19283693510 23140432212 28925540265 30853909616 38567387020 46280864424 48209233775 57851080530 61707819232 77134774040 92561728848 96418467550 115702161060 144627701325 154269548080 185123457696 192836935100 231404322120 241046168875 289255402650 308539096160 385673870200 462808644240 482092337750 578510805300 723138506625 771347740400 925617288480 964184675500 1157021610600 1446277013250 1542695480800 1928369351000 2314043221200 2892554026500 3856738702000 4628086442400 5785108053000 7713477404000 11570216106000 23140432212000