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11431432747424 = 2541163149335803
BaseRepresentation
bin1010011001011001011001…
…1111001111100110100000
31111110211112012111001122202
42212112112133033212200
52444243033240404144
640151305552352332
72256615363056354
oct246262637174640
944424465431582
1011431432747424
113708052850718
1213475a38456a8
1364bc96c00611
142b73da17b464
1514c55788e64e
hexa65967cf9a0

11431432747424 has 96 divisors (see below), whose sum is σ = 23212174878144. Its totient is φ = 5538231429120.

The previous prime is 11431432747379. The next prime is 11431432747487. The reversal of 11431432747424 is 42474723413411.

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 15 ways as a sum of consecutive naturals, for example, 319269107 + ... + 319304909.

It is an arithmetic number, because the mean of its divisors is an integer number (241793488314).

Almost surely, 211431432747424 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 11431432747424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606087439072).

11431432747424 is an abundant number, since it is smaller than the sum of its proper divisors (11780742130720).

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

11431432747424 is a wasteful number, since it uses less digits than its factorization.

11431432747424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37510 (or 37502 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 47.

The spelling of 11431432747424 in words is "eleven trillion, four hundred thirty-one billion, four hundred thirty-two million, seven hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 82 163 164 326 328 652 656 1304 1312 1493 2608 2986 5216 5972 6683 11944 13366 23888 26732 35803 47776 53464 61213 71606 106928 122426 143212 213856 243359 244852 286424 486718 489704 572848 973436 979408 1145696 1467923 1946872 1958816 2935846 3893744 5835889 5871692 7787488 9977719 11671778 11743384 19955438 23343556 23486768 39910876 46687112 46973536 53453879 79821752 93374224 106907758 159643504 186748448 213815516 239271449 319287008 427631032 478542898 855262064 957085796 1710524128 1914171592 2191609039 3828343184 4383218078 7656686368 8712982277 8766436156 17425964554 17532872312 34851929108 35065744624 69703858216 70131489248 139407716432 278815432864 357232273357 714464546714 1428929093428 2857858186856 5715716373712 11431432747424