Search a number
-
+
20123441404032 = 2731714592112841
BaseRepresentation
bin1001001001101010110101…
…00100111001100010000000
32122020210010020020112222210
410210311122210321202000
510114200301444412112
6110444325323502120
74144604431445121
oct444653244714200
978223106215883
1020123441404032
116459338067a1a
122310083987940
13b2c82b45c845
144d7da066c048
1524d6cc021b3c
hex124d5a939880

20123441404032 has 128 divisors (see below), whose sum is σ = 56635997515200. Its totient is φ = 6308906434560.

The previous prime is 20123441404009. The next prime is 20123441404067. The reversal of 20123441404032 is 23040414432102.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8467932 + ... + 10580772.

Almost surely, 220123441404032 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 20123441404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28317998757600).

20123441404032 is an abundant number, since it is smaller than the sum of its proper divisors (36512556111168).

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

20123441404032 is a wasteful number, since it uses less digits than its factorization.

20123441404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114334 (or 2114322 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20123441404032 its reverse (23040414432102), we get a palindrome (43163855836134).

The spelling of 20123441404032 in words is "twenty trillion, one hundred twenty-three billion, four hundred forty-one million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1459 1632 2176 2918 3264 4377 5836 6528 8754 11672 17508 23344 24803 35016 46688 49606 70032 74409 93376 99212 140064 148818 186752 198424 280128 297636 396848 560256 595272 793696 1190544 1587392 2112841 2381088 3174784 4225682 4762176 6338523 8451364 9524352 12677046 16902728 25354092 33805456 35918297 50708184 67610912 71836594 101416368 107754891 135221824 143673188 202832736 215509782 270443648 287346376 405665472 431019564 574692752 811330944 862039128 1149385504 1724078256 2298771008 3082635019 3448156512 4597542016 6165270038 6896313024 9247905057 12330540076 13792626048 18495810114 24661080152 36991620228 49322160304 52404795323 73983240456 98644320608 104809590646 147966480912 157214385969 197288641216 209619181292 295932961824 314428771938 394577282432 419238362584 591865923648 628857543876 838476725168 1183731847296 1257715087752 1676953450336 2515430175504 3353906900672 5030860351008 6707813801344 10061720702016 20123441404032