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4021233043014 = 2321122531729473
BaseRepresentation
bin111010100001000100001…
…010101100011001000110
3112020102111122102001012200
4322201010022230121012
51011340441124334024
612315155015455330
7563344621616445
oct72410412543106
915212448361180
104021233043014
111310439246100
1254b412987546
1323227ba96905
14dc8b32b6d5c
156e9050dc2c9
hex3a8442ac646

4021233043014 has 72 divisors (see below), whose sum is σ = 9580535107416. Its totient is φ = 1218072345600.

The previous prime is 4021233042961. The next prime is 4021233043067. The reversal of 4021233043014 is 4103403321204.

4021233043014 is a `hidden beast` number, since 4 + 0 + 21 + 2 + 330 + 4 + 301 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4021233042961) and next prime (4021233043067).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5147782 + ... + 5877254.

It is an arithmetic number, because the mean of its divisors is an integer number (133062987603).

Almost surely, 24021233043014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021233043014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790267553708).

4021233043014 is an abundant number, since it is smaller than the sum of its proper divisors (5559302064402).

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

4021233043014 is a wasteful number, since it uses less digits than its factorization.

4021233043014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732034 (or 732020 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4021233043014 its reverse (4103403321204), we get a palindrome (8124636364218).

The spelling of 4021233043014 in words is "four trillion, twenty-one billion, two hundred thirty-three million, forty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 2531 5062 7593 15186 22779 27841 45558 55682 83523 167046 250569 306251 501138 612502 729473 918753 1458946 1837506 2188419 2756259 4376838 5512518 6565257 8024203 13130514 16048406 24072609 48145218 72217827 88266233 144435654 176532466 264798699 529597398 794396097 1588792194 1846296163 3692592326 5538888489 11077776978 16616665467 20309257793 33233330934 40618515586 60927773379 121855546758 182783320137 223401835723 365566640274 446803671446 670205507169 1340411014338 2010616521507 4021233043014