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13004503040000 = 214541269971
BaseRepresentation
bin1011110100111101100011…
…0010001100000000000000
31201001012220011202122212202
42331033120302030000000
53201031210234240000
643354104120212332
72511354464663033
oct275173062140000
951035804678782
1013004503040000
1141641a6a3735a
12156043990a0a8
1373441c887824
1432d5c80c301a
15178424b75dd5
hexbd3d8c8c000

13004503040000 has 150 divisors (see below), whose sum is σ = 32499887741244. Its totient is φ = 5201797120000.

The previous prime is 13004503039991. The next prime is 13004503040059. The reversal of 13004503040000 is 4030540031.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 9 ways as a sum of consecutive naturals, for example, 9605015 + ... + 10874985.

Almost surely, 213004503040000 is an apocalyptic number.

13004503040000 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 13004503040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249943870622).

13004503040000 is an abundant number, since it is smaller than the sum of its proper divisors (19495384701244).

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

13004503040000 is an frugal number, since it uses more digits than its factorization.

13004503040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270019 (or 1269978 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 13004503040000 its reverse (4030540031), we get a palindrome (13008533580031).

The spelling of 13004503040000 in words is "thirteen trillion, four billion, five hundred three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3200 4000 4096 5000 5120 6400 8000 8192 10000 10240 12800 16000 16384 20000 20480 25600 32000 40000 40960 51200 64000 80000 81920 102400 128000 160000 204800 256000 320000 409600 512000 640000 1024000 1269971 1280000 2048000 2539942 2560000 5079884 5120000 6349855 10159768 10240000 12699710 20319536 25399420 31749275 40639072 50798840 63498550 81278144 101597680 126997100 158746375 162556288 203195360 253994200 317492750 325112576 406390720 507988400 634985500 650225152 793731875 812781440 1015976800 1269971000 1300450304 1587463750 1625562880 2031953600 2539942000 2600900608 3174927500 3251125760 4063907200 5079884000 5201801216 6349855000 6502251520 8127814400 10159768000 10403602432 12699710000 13004503040 16255628800 20319536000 20807204864 25399420000 26009006080 32511257600 40639072000 50798840000 52018012160 65022515200 81278144000 101597680000 104036024320 130045030400 162556288000 203195360000 260090060800 325112576000 406390720000 520180121600 650225152000 812781440000 1300450304000 1625562880000 2600900608000 3251125760000 6502251520000 13004503040000