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13144042120140 = 2234523352765489
BaseRepresentation
bin1011111101000101010111…
…1101100010001111001100
31201112120001220011101110000
42333101111331202033030
53210322444240321030
643542142315044300
72524424421412461
oct277212575421714
951476056141400
1013144042120140
1142083a2126598
1215834a1140690
13744629ac8679
1433626440d668
1517bd9019d860
hexbf455f623cc

13144042120140 has 120 divisors (see below), whose sum is σ = 43026101284320. Its totient is φ = 3352683197952.

The previous prime is 13144042120067. The next prime is 13144042120171. The reversal of 13144042120140 is 4102124044131.

13144042120140 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 404 + 212 + 0 + 1 + 40 = 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 39 ways as a sum of consecutive naturals, for example, 176345485 + ... + 176420004.

It is an arithmetic number, because the mean of its divisors is an integer number (358550844036).

Almost surely, 213144042120140 is an apocalyptic number.

13144042120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144042120140 is an abundant number, since it is smaller than the sum of its proper divisors (29882059164180).

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

13144042120140 is a wasteful number, since it uses less digits than its factorization.

13144042120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352765533 (or 352765522 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 13144042120140 its reverse (4102124044131), we get a palindrome (17246166164271).

The spelling of 13144042120140 in words is "thirteen trillion, one hundred forty-four billion, forty-two million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 405 414 460 540 621 690 810 828 1035 1242 1380 1620 1863 2070 2484 3105 3726 4140 6210 7452 9315 12420 18630 37260 352765489 705530978 1058296467 1411061956 1763827445 2116592934 3174889401 3527654890 4233185868 5291482335 6349778802 7055309780 8113606247 9524668203 10582964670 12699557604 15874447005 16227212494 19049336406 21165929340 24340818741 28574004609 31748894010 32454424988 38098672812 40568031235 47623341015 48681637482 57148009218 63497788020 73022456223 81136062470 95246682030 97363274964 114296018436 121704093705 142870023045 146044912446 162272124940 190493364060 219067368669 243408187410 285740046090 292089824892 365112281115 438134737338 486816374820 571480092180 657202106007 730224562230 876269474676 1095336843345 1314404212014 1460449124460 2190673686690 2628808424028 3286010530035 4381347373380 6572021060070 13144042120140