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4244442423342 = 2311177170975149
BaseRepresentation
bin111101110000111100011…
…110111010000000101110
3120000202122111020102002220
4331300330132322000232
51024020104230021332
613005511523300210
7615436145216352
oct75607436720056
916022574212086
104244442423342
111397070106260
1258672721a666
1324a331664a14
141096099cb462
157561ae2ed2c
hex3dc3c7ba02e

4244442423342 has 128 divisors (see below), whose sum is σ = 9957603456000. Its totient is φ = 1191787161600.

The previous prime is 4244442423289. The next prime is 4244442423349. The reversal of 4244442423342 is 2433242444424.

It is a junction number, because it is equal to n+sod(n) for n = 4244442423294 and 4244442423303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244442423349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56442784 + ... + 56517932.

It is an arithmetic number, because the mean of its divisors is an integer number (77793777000).

Almost surely, 24244442423342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244442423342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978801728000).

4244442423342 is an abundant number, since it is smaller than the sum of its proper divisors (5713161032658).

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

4244442423342 is a wasteful number, since it uses less digits than its factorization.

4244442423342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75962.

The product of its digits is 2359296, while the sum is 42.

Adding to 4244442423342 its reverse (2433242444424), we get a palindrome (6677684867766).

The spelling of 4244442423342 in words is "four trillion, two hundred forty-four billion, four hundred forty-two million, four hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 71 102 142 187 213 374 426 561 709 781 1122 1207 1418 1562 2127 2343 2414 3621 4254 4686 7242 7799 12053 13277 15598 23397 24106 26554 36159 39831 46794 50339 72318 75149 79662 100678 132583 150298 151017 225447 265166 302034 397749 450894 553729 795498 826639 855763 1107458 1277533 1653278 1661187 1711526 2479917 2555066 2567289 3322374 3832599 4959834 5134578 5335579 7665198 9413393 10671158 14052863 16006737 18826786 28105726 28240179 32013474 42158589 53280641 56480358 58691369 84317178 90704843 106561282 117382738 159841923 176074107 181409686 272114529 319683846 352148214 544229058 586087051 905770897 997753273 1172174102 1758261153 1811541794 1995506546 2717312691 2993259819 3516522306 3782925511 5434625382 5986519638 7565851022 9963479867 11348776533 19926959734 22697553066 29890439601 41612180621 59780879202 64309733687 83224361242 124836541863 128619467374 192929201061 249673083726 385858402122 707407070557 1414814141114 2122221211671 4244442423342