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44234400042 = 23272196739397
BaseRepresentation
bin101001001100100100…
…110110000100101010
311020011202211100100200
4221030210312010222
51211043001300132
632153200413030
73124112124300
oct511444660452
9136152740320
1044234400042
111783a190508
1286a6017176
13422c413c11
1421d8ada270
15123d60dd7c
hexa4c93612a

44234400042 has 144 divisors (see below), whose sum is σ = 119111185440. Its totient is φ = 11794216896.

The previous prime is 44234400029. The next prime is 44234400073. The reversal of 44234400042 is 24000443244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44234399979 and 44234400015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1103088 + ... + 1142484.

It is an arithmetic number, because the mean of its divisors is an integer number (827161010).

Almost surely, 244234400042 is an apocalyptic number.

44234400042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44234400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59555592720).

44234400042 is an abundant number, since it is smaller than the sum of its proper divisors (74876785398).

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

44234400042 is a wasteful number, since it uses less digits than its factorization.

44234400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39505 (or 39495 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 44234400042 its reverse (24000443244), we get a palindrome (68234843286).

The spelling of 44234400042 in words is "forty-four billion, two hundred thirty-four million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 67 98 114 126 133 134 147 171 201 266 294 342 399 402 441 469 603 798 882 931 938 1197 1206 1273 1407 1862 2394 2546 2793 2814 3283 3819 4221 5586 6566 7638 8379 8442 8911 9849 11457 16758 17822 19698 22914 26733 29547 39397 53466 59094 62377 78794 80199 118191 124754 160398 187131 236382 275779 354573 374262 551558 561393 709146 748543 827337 1122786 1497086 1654674 1930453 2245629 2482011 2639599 3860906 4491258 4964022 5239801 5279198 5791359 6736887 7918797 10479602 11582718 13473774 15719403 15837594 17374077 18477193 23756391 31438806 34748154 36678607 36954386 47158209 47512782 50152381 55431579 73357214 94316418 100304762 110035821 110863158 129340351 150457143 166294737 220071642 258680702 300914286 330107463 332589474 351066667 388021053 451371429 660214926 702133334 776042106 902742858 1053200001 1164063159 2106400002 2328126318 2457466669 3159600003 4914933338 6319200006 7372400007 14744800014 22117200021 44234400042