Search a number
-
+
23332001024000 = 2115391140629
BaseRepresentation
bin1010100111000011001111…
…01000100000100000000000
310001121111222021020021010002
411103201213220200200000
511024232414230232000
6121342323455455132
74625452510305404
oct523414750404000
9101544867207102
1023332001024000
11748605634aa89
122749a93b274a8
13100327674caa6
145a93bc385104
152a6dbb3c88d5
hex153867a20800

23332001024000 has 96 divisors (see below), whose sum is σ = 58222457256600. Its totient is φ = 9332800307200.

The previous prime is 23332001023999. The next prime is 23332001024009. The reversal of 23332001024000 is 42010023332.

It can be written as a sum of positive squares in 4 ways, for example, as 8689194689536 + 14642806334464 = 2947744^2 + 3826592^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23332001024009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45314315 + ... + 45826314.

Almost surely, 223332001024000 is an apocalyptic number.

23332001024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23332001024000 is an abundant number, since it is smaller than the sum of its proper divisors (34890456232600).

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

23332001024000 is an frugal number, since it uses more digits than its factorization.

23332001024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91140666 (or 91140636 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23332001024000 its reverse (42010023332), we get a palindrome (23374011047332).

The spelling of 23332001024000 in words is "twenty-three trillion, three hundred thirty-two billion, one million, twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 5120 6400 8000 10240 12800 16000 25600 32000 51200 64000 128000 256000 91140629 182281258 364562516 455703145 729125032 911406290 1458250064 1822812580 2278515725 2916500128 3645625160 4557031450 5833000256 7291250320 9114062900 11392578625 11666000512 14582500640 18228125800 22785157250 23332001024 29165001280 36456251600 45570314500 46664002048 58330002560 72912503200 91140629000 93328004096 116660005120 145825006400 182281258000 186656008192 233320010240 291650012800 364562516000 466640020480 583300025600 729125032000 933280040960 1166600051200 1458250064000 2333200102400 2916500128000 4666400204800 5833000256000 11666000512000 23332001024000