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1344242212040 = 2357132331584967
BaseRepresentation
bin10011100011111011000…
…101000101110011001000
311202111201112212200122002
4103203323011011303020
5134011002001241130
62505311503450132
7166055401163330
oct23437305056310
94674645780562
101344242212040
114790a97589a2
12198633bb6948
13999b9015030
14490c131a0c0
1524e78078b45
hex138fb145cc8

1344242212040 has 128 divisors (see below), whose sum is σ = 3738495720960. Its totient is φ = 423604353024.

The previous prime is 1344242212009. The next prime is 1344242212189. The reversal of 1344242212040 is 402122424431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1344242211994 and 1344242212012.

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, 55637 + ... + 1640603.

It is an arithmetic number, because the mean of its divisors is an integer number (29206997820).

Almost surely, 21344242212040 is an apocalyptic number.

1344242212040 is a gapful number since it is divisible by the number (10) 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 1344242212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869247860480).

1344242212040 is an abundant number, since it is smaller than the sum of its proper divisors (2394253508920).

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

1344242212040 is a wasteful number, since it uses less digits than its factorization.

1344242212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585231 (or 1585227 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1344242212040 its reverse (402122424431), we get a palindrome (1746364636471).

The spelling of 1344242212040 in words is "one trillion, three hundred forty-four billion, two hundred forty-two million, two hundred twelve thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 233 260 280 364 455 466 520 728 910 932 1165 1631 1820 1864 2330 3029 3262 3640 4660 6058 6524 8155 9320 12116 13048 15145 16310 21203 24232 30290 32620 42406 60580 65240 84812 106015 121160 169624 212030 424060 848120 1584967 3169934 6339868 7924835 11094769 12679736 15849670 20604571 22189538 31699340 41209142 44379076 55473845 63398680 82418284 88758152 103022855 110947690 144231997 164836568 206045710 221895380 288463994 369297311 412091420 443790760 576927988 721159985 738594622 824182840 1153855976 1442319970 1477189244 1846486555 2585081177 2884639940 2954378488 3692973110 4800865043 5170162354 5769279880 7385946220 9601730086 10340324708 12925405885 14771892440 19203460172 20680649416 24004325215 25850811770 33606055301 38406920344 48008650430 51701623540 67212110602 96017300860 103403247080 134424221204 168030276505 192034601720 268848442408 336060553010 672121106020 1344242212040