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13444314120 = 2333519655181
BaseRepresentation
bin11001000010101011…
…11111010000001000
31021200221211220212000
430201111333100020
5210013221022440
610102022151000
7654106533036
oct144125772010
937627756760
1013444314120
115779a68206
122732582460
13136345a673
14917787556
1553a46a730
hex32157f408

13444314120 has 128 divisors (see below), whose sum is σ = 47173104000. Its totient is φ = 3396453120.

The previous prime is 13444314109. The next prime is 13444314179. The reversal of 13444314120 is 2141344431.

13444314120 is a `hidden beast` number, since 1 + 344 + 4 + 314 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 307071 + ... + 348110.

It is an arithmetic number, because the mean of its divisors is an integer number (368539875).

Almost surely, 213444314120 is an apocalyptic number.

13444314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444314120 is an abundant number, since it is smaller than the sum of its proper divisors (33728789880).

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

13444314120 is a wasteful number, since it uses less digits than its factorization.

13444314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655220 (or 655210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 13444314120 its reverse (2141344431), we get a palindrome (15585658551).

The spelling of 13444314120 in words is "thirteen billion, four hundred forty-four million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 655181 1310362 1965543 2620724 3275905 3931086 5241448 5896629 6551810 7862172 9827715 11793258 12448439 13103620 15724344 17689887 19655430 23586516 24896878 26207240 29483145 35379774 37345317 39310860 47173032 49793756 58966290 62242195 70759548 74690634 78621720 88449435 99587512 112035951 117932580 124484390 141519096 149381268 176898870 186726585 224071902 235865160 248968780 298762536 336107853 353797740 373453170 448143804 497937560 560179755 672215706 707595480 746906340 896287608 1120359510 1344431412 1493812680 1680539265 2240719020 2688862824 3361078530 4481438040 6722157060 13444314120