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20144123411440 = 2457170921048361
BaseRepresentation
bin1001001010010001010110…
…10100011111101111110000
32122022202111121002101112011
410211020223110133233300
510120020131043131230
6110502025455012304
74146236104554610
oct445105324375760
978282447071464
1020144123411440
116467090567226
12231409620a094
13b31776217052
144d8da3366a40
1524dedcaa8e2a
hex12522b51fbf0

20144123411440 has 80 divisors (see below), whose sum is σ = 53557136141760. Its totient is φ = 6902514984960.

The previous prime is 20144123411429. The next prime is 20144123411471. The reversal of 20144123411440 is 4411432144102.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 9567141 + ... + 11481220.

It is an arithmetic number, because the mean of its divisors is an integer number (669464201772).

Almost surely, 220144123411440 is an apocalyptic number.

20144123411440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20144123411440 is an abundant number, since it is smaller than the sum of its proper divisors (33413012730320).

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

20144123411440 is a wasteful number, since it uses less digits than its factorization.

20144123411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21050090 (or 21050084 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 20144123411440 its reverse (4411432144102), we get a palindrome (24555555555542).

The spelling of 20144123411440 in words is "twenty trillion, one hundred forty-four billion, one hundred twenty-three million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1709 3418 6836 8545 11963 13672 17090 23926 27344 34180 47852 59815 68360 95704 119630 136720 191408 239260 478520 957040 21048361 42096722 84193444 105241805 147338527 168386888 210483610 294677054 336773776 420967220 589354108 736692635 841934440 1178708216 1473385270 1683868880 2357416432 2946770540 5893541080 11787082160 35971648949 71943297898 143886595796 179858244745 251801542643 287773191592 359716489490 503603085286 575546383184 719432978980 1007206170572 1259007713215 1438865957960 2014412341144 2518015426430 2877731915920 4028824682288 5036030852860 10072061705720 20144123411440