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4440021104040 = 233579761997489
BaseRepresentation
bin100000010011100010111…
…1000010111010110101000
3120201110110201000210201120
41000213011320113112220
51040221130400312130
613235414553215240
7635531601452544
oct100470570272650
916643421023646
104440021104040
111462003186865
125b860a101520
132628cc998112
14114c80804a24
157a766158910
hex409c5e175a8

4440021104040 has 128 divisors (see below), whose sum is σ = 13340708640000. Its totient is φ = 1182171414528.

The previous prime is 4440021104009. The next prime is 4440021104093. The reversal of 4440021104040 is 404011200444.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4440021104040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592868616 + ... + 592876104.

It is an arithmetic number, because the mean of its divisors is an integer number (104224286250).

Almost surely, 24440021104040 is an apocalyptic number.

4440021104040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4440021104040 is an abundant number, since it is smaller than the sum of its proper divisors (8900687535960).

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

4440021104040 is a wasteful number, since it uses less digits than its factorization.

4440021104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14499 (or 14495 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4440021104040 its reverse (404011200444), we get a palindrome (4844032304484).

The spelling of 4440021104040 in words is "four trillion, four hundred forty billion, twenty-one million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 797 1594 2391 3188 3985 4782 6199 6376 7489 7970 9564 11955 12398 14978 15940 18597 19128 22467 23910 24796 29956 30995 31880 37194 37445 44934 47820 49592 59912 61990 74388 74890 89868 92985 95640 112335 123980 148776 149780 179736 185970 224670 247960 299560 371940 449340 743880 898680 4940603 5968733 9881206 11937466 14821809 17906199 19762412 23874932 24703015 29643618 29843665 35812398 39524824 46424311 47749864 49406030 59287236 59687330 71624796 74109045 89530995 92848622 98812060 118574472 119374660 139272933 143249592 148218090 179061990 185697244 197624120 232121555 238749320 278545866 296436180 358123980 371394488 464243110 557091732 592872360 696364665 716247960 928486220 1114183464 1392729330 1856972440 2785458660 5570917320 37000175867 74000351734 111000527601 148000703468 185000879335 222001055202 296001406936 370001758670 444002110404 555002638005 740003517340 888004220808 1110005276010 1480007034680 2220010552020 4440021104040