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13441444033240 = 2354730744475237
BaseRepresentation
bin1100001110011001010001…
…1111110011001011011000
31202120222201100022220222101
43003212110133303023120
53230211034133030430
644330525242133144
72555053341102556
oct303462437631330
952528640286871
1013441444033240
114312536814733
1216110604b11b4
137666a45a4042
143467d848abd6
15184999708dca
hexc39947f32d8

13441444033240 has 128 divisors (see below), whose sum is σ = 31000217149440. Its totient is φ = 5242860919296.

The previous prime is 13441444033223. The next prime is 13441444033279. The reversal of 13441444033240 is 4233044414431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13441444033240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566627902 + ... + 2566633138.

It is an arithmetic number, because the mean of its divisors is an integer number (242189196480).

Almost surely, 213441444033240 is an apocalyptic number.

13441444033240 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 13441444033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500108574720).

13441444033240 is an abundant number, since it is smaller than the sum of its proper divisors (17558773116200).

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

13441444033240 is a wasteful number, since it uses less digits than its factorization.

13441444033240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 13441444033240 its reverse (4233044414431), we get a palindrome (17674488447671).

The spelling of 13441444033240 in words is "thirteen trillion, four hundred forty-one billion, four hundred forty-four million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 307 376 470 614 940 1228 1535 1880 2456 3070 4447 5237 6140 8894 10474 12280 14429 17788 20948 22235 26185 28858 35576 41896 44470 52370 57716 72145 88940 104740 115432 144290 177880 209009 209480 246139 288580 418018 492278 577160 836036 984556 1045045 1230695 1365229 1607759 1672072 1969112 2090090 2461390 2730458 3215518 4180180 4922780 5460916 6431036 6826145 8038795 8360360 9845560 10921832 12862072 13652290 16077590 23288939 27304580 32155180 46577878 54609160 64165763 64310360 75564673 93155756 116444695 128331526 151129346 186311512 232889390 256663052 302258692 320828815 377823365 465778780 513326104 604517384 641657630 755646730 931557560 1094580133 1283315260 1511293460 2189160266 2566630520 3022586920 4378320532 5472900665 7149704273 8756641064 10945801330 14299408546 21891602660 28598817092 35748521365 43783205320 57197634184 71497042730 142994085460 285988170920 336036100831 672072201662 1344144403324 1680180504155 2688288806648 3360361008310 6720722016620 13441444033240