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450123043005040 = 24517973412090987
BaseRepresentation
bin110011001011000100111000…
…0000101010110001001110000
32012000202100020210112122221111
41212112021300011112021300
5432444303443002130130
64233155400555003104
7163545213422553616
oct14626116005261160
92160670223478844
10450123043005040
111204721241025a9
1242598a40439494
1316421561718b92
147d221003976b6
153708aeee8002a
hex1996270156270

450123043005040 has 80 divisors (see below), whose sum is σ = 1119520701526752. Its totient is φ = 167711096143872.

The previous prime is 450123043004983. The next prime is 450123043005059. The reversal of 450123043005040 is 40500340321054.

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

It is a super-2 number, since 2×4501230430050402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450123043004993 and 450123043005011.

It is a congruent number.

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, 1705913574 + ... + 1706177413.

Almost surely, 2450123043005040 is an apocalyptic number.

450123043005040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450123043005040 is an abundant number, since it is smaller than the sum of its proper divisors (669397658521712).

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

450123043005040 is a wasteful number, since it uses less digits than its factorization.

450123043005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412091114 (or 3412091108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 450123043005040 its reverse (40500340321054), we get a palindrome (490623383326094).

The spelling of 450123043005040 in words is "four hundred fifty trillion, one hundred twenty-three billion, forty-three million, five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 680 776 970 1360 1552 1649 1940 3298 3880 6596 7760 8245 13192 16490 26384 32980 65960 131920 3412090987 6824181974 13648363948 17060454935 27296727896 34120909870 54593455792 58005546779 68241819740 116011093558 136483639480 232022187116 272967278960 290027733895 330972825739 464044374232 580055467790 661945651478 928088748464 1160110935580 1323891302956 1654864128695 2320221871160 2647782605912 3309728257390 4640443742320 5295565211824 5626538037563 6619456514780 11253076075126 13238913029560 22506152150252 26477826059120 28132690187815 45012304300504 56265380375630 90024608601008 112530760751260 225061521502520 450123043005040