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45144024115332 = 22319836857347899
BaseRepresentation
bin10100100001110111010011…
…00001010110100010000100
312220211201121122211020221110
422100323221201112202010
521404114430133142312
6240002513421245020
712336356000430642
oct1220735141264204
9186751548736843
1045144024115332
111342552279011a
12509126a403770
131c260a8b36a3c
14b20da7ac0192
1553447659a43c
hex290ee9856884

45144024115332 has 96 divisors (see below), whose sum is σ = 112232651328000. Its totient is φ = 14082154013952.

The previous prime is 45144024115277. The next prime is 45144024115417. The reversal of 45144024115332 is 23351142044154.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129587919 + ... + 129935817.

It is an arithmetic number, because the mean of its divisors is an integer number (1169090118000).

Almost surely, 245144024115332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45144024115332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56116325664000).

45144024115332 is an abundant number, since it is smaller than the sum of its proper divisors (67088627212668).

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

45144024115332 is a wasteful number, since it uses less digits than its factorization.

45144024115332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354865 (or 354863 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 45144024115332 its reverse (23351142044154), we get a palindrome (68495166159486).

The spelling of 45144024115332 in words is "forty-five trillion, one hundred forty-four billion, twenty-four million, one hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 3154 4731 6308 6857 9462 13714 18924 20571 27428 41142 82284 130283 260566 347899 390849 521132 569131 695798 781698 1043697 1138262 1391596 1563396 1707393 2087394 2276524 3414786 4174788 6610081 6829572 10813489 13220162 19830243 21626978 26440324 28875617 32440467 39660486 43253956 57751234 64880934 79320972 86626851 115502468 129761868 173253702 346507404 548636723 1097273446 1645910169 2194546892 2385543443 3291820338 4771086886 6583640676 7156630329 9542173772 14313260658 28626521316 45325325417 90650650834 135975976251 181301301668 198000105769 271951952502 396000211538 543903905004 594000317307 792000423076 1188000634614 2376001269228 3762002009611 7524004019222 11286006028833 15048008038444 22572012057666 45144024115332