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1344645405220 = 2251330721377883
BaseRepresentation
bin10011100100010011000…
…111001001101000100100
311202112202122120000200211
4103210103013021220210
5134012313210431340
62505415505345204
7166101365234545
oct23442307115044
94675678500624
101344645405220
114792963049a7
12198727038204
1399a51703b90
144911cab24cc
1524e9d66d5ea
hex139131c9a24

1344645405220 has 96 divisors (see below), whose sum is σ = 3052687575168. Its totient is φ = 494572925952.

The previous prime is 1344645405203. The next prime is 1344645405247. The reversal of 1344645405220 is 225045464431.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 170571399 + ... + 170579281.

It is an arithmetic number, because the mean of its divisors is an integer number (31798828908).

Almost surely, 21344645405220 is an apocalyptic number.

1344645405220 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 1344645405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526343787584).

1344645405220 is an abundant number, since it is smaller than the sum of its proper divisors (1708042169948).

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

1344645405220 is a wasteful number, since it uses less digits than its factorization.

1344645405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 1344645405220 in words is "one trillion, three hundred forty-four billion, six hundred forty-five million, four hundred five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 614 1228 1535 2137 3070 3991 4274 6140 7883 7982 8548 10685 15766 15964 19955 21370 27781 31532 39415 39910 42740 55562 78830 79820 102479 111124 138905 157660 204958 277810 409916 512395 555620 656059 1024790 1312118 2049580 2420081 2624236 3280295 4840162 6560590 8528767 9680324 12100405 13121180 16845971 17057534 24200810 31461053 33691942 34115068 42643835 48401620 62922106 67383884 84229855 85287670 125844212 157305265 168459710 170575340 218997623 314610530 336919420 437995246 629221060 875990492 1094988115 2189976230 4379952460 5171713097 10343426194 20686852388 25858565485 51717130970 67232270261 103434261940 134464540522 268929081044 336161351305 672322702610 1344645405220