Search a number
-
+
1344090170880 = 2933519445749
BaseRepresentation
bin10011100011110010000…
…001000110011000000000
311202111022221210012101000
4103203302001012120000
5134010144040432010
62505244433012000
7166051543642542
oct23436201063000
94674287705330
101344090170880
11479030952146
121985b10b4000
1399993680052
14490a905d692
1524e69a447c0
hex138f2046600

1344090170880 has 160 divisors (see below), whose sum is σ = 4774320540000. Its totient is φ = 358424027136.

The previous prime is 1344090170873. The next prime is 1344090170921. The reversal of 1344090170880 is 880710904431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9653755 + ... + 9791994.

It is an arithmetic number, because the mean of its divisors is an integer number (29839503375).

Almost surely, 21344090170880 is an apocalyptic number.

1344090170880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344090170880 is an abundant number, since it is smaller than the sum of its proper divisors (3430230369120).

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

1344090170880 is an equidigital number, since it uses as much as digits as its factorization.

1344090170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19445781 (or 19445759 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1344090170880 in words is "one trillion, three hundred forty-four billion, ninety million, one hundred seventy thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 19445749 38891498 58337247 77782996 97228745 116674494 155565992 175011741 194457490 233348988 291686235 311131984 350023482 388914980 466697976 525035223 583372470 622263968 700046964 777829960 875058705 933395952 1050070446 1166744940 1244527936 1400093928 1555659920 1750117410 1866791904 2100140892 2333489880 2489055872 2625176115 2800187856 3111319840 3500234820 3733583808 4200281784 4666979760 4978111744 5250352230 5600375712 6222639680 7000469640 7467167616 8400563568 9333959520 9956223488 10500704460 11200751424 12445279360 14000939280 14934335232 16801127136 18667919040 21001408920 22401502848 24890558720 28001878560 29868670464 33602254272 37335838080 42002817840 44803005696 49781117440 56003757120 67204508544 74671676160 84005635680 89606011392 112007514240 134409017088 149343352320 168011271360 224015028480 268818034176 336022542720 448030056960 672045085440 1344090170880