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4032044340090 = 23513671011527793
BaseRepresentation
bin111010101011001000100…
…100100001001101111010
3112021110102002202211200220
4322223020210201031322
51012030111322340330
612324143503240510
7564206550256134
oct72531044411572
915243362684626
104032044340090
111314a86a07668
1255152b5a9136
132332b2891010
14dd21b0a6054
156ed39304710
hex3aac892137a

4032044340090 has 128 divisors (see below), whose sum is σ = 10681553417472. Its totient is φ = 968009011200.

The previous prime is 4032044340011. The next prime is 4032044340091. The reversal of 4032044340090 is 900434402304.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4032044340091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1875234 + ... + 3403026.

It is an arithmetic number, because the mean of its divisors is an integer number (83449636074).

Almost surely, 24032044340090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032044340090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340776708736).

4032044340090 is an abundant number, since it is smaller than the sum of its proper divisors (6649509077382).

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

4032044340090 is a wasteful number, since it uses less digits than its factorization.

4032044340090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527984.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 4032044340090 its reverse (900434402304), we get a palindrome (4932478742394).

The spelling of 4032044340090 in words is "four trillion, thirty-two billion, forty-four million, three hundred forty thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 101 130 134 195 201 202 303 335 390 402 505 606 670 871 1005 1010 1313 1515 1742 2010 2613 2626 3030 3939 4355 5226 6565 6767 7878 8710 13065 13130 13534 19695 20301 26130 33835 39390 40602 67670 87971 101505 175942 203010 263913 439855 527826 879710 1319565 1527793 2639130 3055586 4583379 7638965 9166758 15277930 19861309 22916895 39722618 45833790 59583927 99306545 102362131 119167854 154307093 198613090 204724262 297919635 307086393 308614186 462921279 511810655 595839270 614172786 771535465 925842558 1023621310 1330707703 1535431965 1543070930 2005992209 2314606395 2661415406 3070863930 3992123109 4011984418 4629212790 6017976627 6653538515 7984246218 10029961045 10338575231 12035953254 13307077030 19960615545 20059922090 20677150462 30089883135 31015725693 39921231090 51692876155 60179766270 62031451386 103385752310 134401478003 155078628465 268802956006 310157256930 403204434009 672007390015 806408868018 1344014780030 2016022170045 4032044340090