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4404111230040 = 2335277997132893
BaseRepresentation
bin100000000010110100101…
…1111000100010001011000
3120121000210002021012022020
41000011221133010101120
51034124104433330130
613211115404054440
7633120660534414
oct100055137042130
916530702235266
104404111230040
111448855a79a45
125b1667b34420
1325c3c9101672
1411323552bd44
157986379ae10
hex401697c4458

4404111230040 has 128 divisors (see below), whose sum is σ = 13273431456960. Its totient is φ = 1169007335424.

The previous prime is 4404111230021. The next prime is 4404111230047. The reversal of 4404111230040 is 400321114044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404111230047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33073834 + ... + 33206726.

Almost surely, 24404111230040 is an apocalyptic number.

4404111230040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404111230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636715728480).

4404111230040 is an abundant number, since it is smaller than the sum of its proper divisors (8869320226920).

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

4404111230040 is a wasteful number, since it uses less digits than its factorization.

4404111230040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134181 (or 134177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4404111230040 its reverse (400321114044), we get a palindrome (4804432344084).

The spelling of 4404111230040 in words is "four trillion, four hundred four billion, one hundred eleven million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 997 1108 1385 1662 1994 2216 2770 2991 3324 3988 4155 4985 5540 5982 6648 7976 8310 9970 11080 11964 14955 16620 19940 23928 29910 33240 39880 59820 119640 132893 265786 276169 398679 531572 552338 664465 797358 828507 1063144 1104676 1328930 1380845 1594716 1657014 1993395 2209352 2657860 2761690 3189432 3314028 3986790 4142535 5315720 5523380 6628056 7973580 8285070 11046760 15947160 16570140 33140280 36811361 73622722 110434083 132494321 147245444 184056805 220868166 264988642 294490888 368113610 397482963 441736332 529977284 552170415 662471605 736227220 794965926 883472664 1059954568 1104340830 1324943210 1472454440 1589931852 1987414815 2208681660 2649886420 3179863704 3974829630 4417363320 5299772840 7949659260 15899318520 36700926917 73401853834 110102780751 146803707668 183504634585 220205561502 293607415336 367009269170 440411123004 550513903755 734018538340 880822246008 1101027807510 1468037076680 2202055615020 4404111230040