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40530245040 = 24325238923563
BaseRepresentation
bin100101101111110010…
…100111010110110000
310212121121210202221200
4211233302213112300
51131001220320130
630341435451200
72633243253465
oct455762472660
9125547722850
1040530245040
11162092a2a8a
127a315b6b00
133a8bb9701c
141d66b9766c
1510c3326760
hex96fca75b0

40530245040 has 120 divisors (see below), whose sum is σ = 136176827280. Its totient is φ = 10803082752.

The previous prime is 40530245023. The next prime is 40530245047. The reversal of 40530245040 is 4054203504.

40530245040 is a `hidden beast` number, since 40 + 530 + 2 + 4 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 40530244995 and 40530245013.

It is not an unprimeable number, because it can be changed into a prime (40530245047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708299 + ... + 1731861.

It is an arithmetic number, because the mean of its divisors is an integer number (1134806894).

Almost surely, 240530245040 is an apocalyptic number.

40530245040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40530245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68088413640).

40530245040 is an abundant number, since it is smaller than the sum of its proper divisors (95646582240).

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

40530245040 is a wasteful number, since it uses less digits than its factorization.

40530245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25971 (or 25962 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 40530245040 its reverse (4054203504), we get a palindrome (44584448544).

The spelling of 40530245040 in words is "forty billion, five hundred thirty million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2389 4778 7167 9556 11945 14334 19112 21501 23563 23890 28668 35835 38224 43002 47126 47780 57336 70689 71670 86004 94252 95560 107505 114672 117815 141378 143340 172008 188504 191120 212067 215010 235630 282756 286680 344016 353445 377008 424134 430020 471260 565512 573360 706890 848268 860040 942520 1060335 1131024 1413780 1696536 1720080 1885040 2120670 2827560 3393072 4241340 5655120 8482680 16965360 56292007 112584014 168876021 225168028 281460035 337752042 450336056 506628063 562920070 675504084 844380105 900672112 1013256126 1125840140 1351008168 1688760210 2026512252 2251680280 2533140315 2702016336 3377520420 4053024504 4503360560 5066280630 6755040840 8106049008 10132561260 13510081680 20265122520 40530245040