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4401121140240 = 2435112473674117
BaseRepresentation
bin100000000001011011101…
…0000110001111000010000
3120120202001200212220012120
41000002313100301320100
51034101444002441430
613205502552054240
7632653612305426
oct100026720617020
916522050786176
104401121140240
111447561168250
125b0b72694380
1325c0407a9b66
14113030385116
157973b013610
hex400b7431e10

4401121140240 has 160 divisors (see below), whose sum is σ = 14889832096896. Its totient is φ = 1066505441280.

The previous prime is 4401121140223. The next prime is 4401121140253. The reversal of 4401121140240 is 420411211044.

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 4401121140240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6191662 + ... + 6865778.

Almost surely, 24401121140240 is an apocalyptic number.

4401121140240 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 4401121140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444916048448).

4401121140240 is an abundant number, since it is smaller than the sum of its proper divisors (10488710956656).

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

4401121140240 is a wasteful number, since it uses less digits than its factorization.

4401121140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676617 (or 676611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4401121140240 its reverse (420411211044), we get a palindrome (4821532351284).

The spelling of 4401121140240 in words is "four trillion, four hundred one billion, one hundred twenty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2473 2640 4946 7419 9892 12365 14838 19784 24730 27203 29676 37095 39568 49460 54406 59352 74190 81609 98920 108812 118704 136015 148380 163218 197840 217624 272030 296760 326436 408045 435248 544060 593520 652872 674117 816090 1088120 1305744 1348234 1632180 2022351 2176240 2696468 3264360 3370585 4044702 5392936 6528720 6741170 7415287 8089404 10111755 10785872 13482340 14830574 16178808 20223510 22245861 26964680 29661148 32357616 37076435 40447020 44491722 53929360 59322296 74152870 80894040 88983444 111229305 118644592 148305740 161788080 177966888 222458610 296611480 355933776 444917220 593222960 889834440 1667091341 1779668880 3334182682 5001274023 6668365364 8335456705 10002548046 13336730728 16670913410 18338004751 20005096092 25006370115 26673461456 33341826820 36676009502 40010192184 50012740230 55014014253 66683653640 73352019004 80020384368 91690023755 100025480460 110028028506 133367307280 146704038008 183380047510 200050960920 220056057012 275070071265 293408076016 366760095020 400101921840 440112114024 550140142530 733520190040 880224228048 1100280285060 1467040380080 2200560570120 4401121140240