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43434133434112 = 2817191277411337
BaseRepresentation
bin10011110000000110011000…
…00110000010111100000000
312200210021002102211202202211
421320003030012002330000
521143111101124342422
6232213210533551504
712102004213440031
oct1170031406027400
9180707072752684
1043434133434112
1112926348aa8423
124a559ab4a5594
131b30a8a26b095
14aa231a948a88
15504c4c7b4577
hex2780cc182f00

43434133434112 has 144 divisors (see below), whose sum is σ = 96705925777440. Its totient is φ = 19348613627904.

The previous prime is 43434133434053. The next prime is 43434133434113. The reversal of 43434133434112 is 21143433143434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43434133434113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105386908 + ... + 105798244.

It is an arithmetic number, because the mean of its divisors is an integer number (671568929010).

Almost surely, 243434133434112 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 43434133434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48352962888720).

43434133434112 is an abundant number, since it is smaller than the sum of its proper divisors (53271792343328).

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

43434133434112 is a wasteful number, since it uses less digits than its factorization.

43434133434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412666 (or 412652 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

Adding to 43434133434112 its reverse (21143433143434), we get a palindrome (64577566577546).

The spelling of 43434133434112 in words is "forty-three trillion, four hundred thirty-four billion, one hundred thirty-three million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 256 272 304 323 544 608 646 1088 1216 1277 1292 2176 2432 2554 2584 4352 4864 5108 5168 10216 10336 20432 20672 21709 24263 40864 41344 43418 48526 81728 82688 86836 97052 163456 173672 194104 326912 347344 388208 411337 412471 694688 776416 822674 824942 1389376 1552832 1645348 1649884 2778752 3105664 3290696 3299768 5557504 6211328 6581392 6599536 6992729 7815403 13162784 13199072 13985458 15630806 26325568 26398144 27970916 31261612 52651136 52796288 55941832 62523224 105302272 105592576 111883664 125046448 132861851 223767328 250092896 265723702 447534656 500185792 525277349 531447404 895069312 1000371584 1050554698 1062894808 1790138624 2000743168 2101109396 2125789616 4202218792 4251579232 8404437584 8503158464 8929714933 9980269631 16808875168 17006316928 17859429866 19960539262 33617750336 34012633856 35718859732 39921078524 67235500672 71437719464 79842157048 134471001344 142875438928 159684314096 169664583727 285750877856 319368628192 339329167454 571501755712 638737256384 678658334908 1143003511424 1277474512768 1357316669816 2286007022848 2554949025536 2714633339632 5429266679264 10858533358528 21717066717056 43434133434112