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4430450141040 = 2435711239742973
BaseRepresentation
bin100000001111000101101…
…1010000010011101110000
3120200112202200120111201110
41000132023122002131300
51040042030214003130
613231153134233320
7635042453560410
oct100361332023560
916615680514643
104430450141040
111458a4166a690
125b6798955840
13261a35b47ac1
14114613644640
157a3a5c97ab0
hex4078b682770

4430450141040 has 160 divisors (see below), whose sum is σ = 17123402174976. Its totient is φ = 920613012480.

The previous prime is 4430450141027. The next prime is 4430450141053. The reversal of 4430450141040 is 401410540344.

It is an interprime number because it is at equal distance from previous prime (4430450141027) and next prime (4430450141053).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4430450140989 and 4430450141007.

It is a congruent number.

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, 119853007 + ... + 119889966.

Almost surely, 24430450141040 is an apocalyptic number.

4430450141040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430450141040 is an abundant number, since it is smaller than the sum of its proper divisors (12692952033936).

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

4430450141040 is a wasteful number, since it uses less digits than its factorization.

4430450141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239743007 (or 239743001 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 4430450141040 its reverse (401410540344), we get a palindrome (4831860681384).

The spelling of 4430450141040 in words is "four trillion, four hundred thirty billion, four hundred fifty million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 239742973 479485946 719228919 958971892 1198714865 1438457838 1678200811 1917943784 2397429730 2637172703 2876915676 3356401622 3596144595 3835887568 4794859460 5034602433 5274345406 5753831352 6712803244 7192289190 7911518109 8391004055 9589718920 10069204866 10548690812 11507662704 13185863515 13425606488 14384578380 15823036218 16782008110 18460208921 19179437840 20138409732 21097381624 25173012165 26371727030 26851212976 28769156760 31646072436 33564016220 36920417842 39557590545 40276819464 42194763248 50346024330 52743454060 55380626763 57538313520 63292144872 67128032440 73840835684 79115181090 80553638928 92301044605 100692048660 105486908120 110761253526 126584289744 134256064880 147681671368 158230362180 184602089210 201384097320 210973816240 221522507052 276903133815 295363342736 316460724360 369204178420 402768194640 443045014104 553806267630 632921448720 738408356840 886090028208 1107612535260 1476816713680 2215225070520 4430450141040