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3423301042420 = 2257261269212881
BaseRepresentation
bin110001110100001100101…
…001001000000011110100
3110010021010201212020121001
4301310030221020003310
5422041410031324140
611140350501533044
7502216406515300
oct61641451100364
913107121766531
103423301042420
1110aa8a5214126
12473560714184
131baa7b7017bc
14bb98d94cd00
155e0abab4e9a
hex31d0ca480f4

3423301042420 has 144 divisors (see below), whose sum is σ = 8531365363920. Its totient is φ = 1150165094400.

The previous prime is 3423301042397. The next prime is 3423301042429. The reversal of 3423301042420 is 242401033243.

It can be written as a sum of positive squares in 8 ways, for example, as 1320412424464 + 2102888617956 = 1149092^2 + 1450134^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423301042429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15974380 + ... + 16187260.

It is an arithmetic number, because the mean of its divisors is an integer number (59245592805).

Almost surely, 23423301042420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423301042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265682681960).

3423301042420 is an abundant number, since it is smaller than the sum of its proper divisors (5108064321500).

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

3423301042420 is a wasteful number, since it uses less digits than its factorization.

3423301042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213234 (or 213225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3423301042420 its reverse (242401033243), we get a palindrome (3665702075663).

The spelling of 3423301042420 in words is "three trillion, four hundred twenty-three billion, three hundred one million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 269 305 427 490 538 610 854 980 1076 1220 1345 1708 1883 2135 2690 2989 3766 4270 5380 5978 7532 8540 9415 11956 13181 14945 16409 18830 26362 29890 32818 37660 52724 59780 65636 65905 82045 114863 131810 164090 212881 229726 263620 328180 425762 459452 574315 804041 851524 1064405 1148630 1490167 1608082 2128810 2297260 2980334 3216164 4020205 4257620 5960668 7450835 8040410 10431169 12985741 14901670 16080820 20862338 25971482 29803340 41724676 51942964 52155845 57264989 64928705 90900187 104311690 114529978 129857410 181800374 208623380 229059956 259714820 286324945 363600748 400854923 454500935 572649890 636301309 801709846 909001870 1145299780 1272602618 1603419692 1818003740 2004274615 2545205236 2805984461 3181506545 3493164329 4008549230 5611968922 6363013090 6986328658 8017098460 11223937844 12726026180 13972657316 14029922305 17465821645 24452150303 28059844610 34931643290 48904300606 56119689220 69863286580 97808601212 122260751515 171165052121 244521503030 342330104242 489043006060 684660208484 855825260605 1711650521210 3423301042420