Search a number
-
+
40133340540 = 223558257889
BaseRepresentation
bin100101011000001000…
…100010110101111100
310211120221221221100000
4211120020202311330
51124143113344130
630234220434300
72620353523506
oct453010426574
9124527857300
1040133340540
1116025251837
1279406a8990
133a2789a6a7
141d2a19ad76
15109d575260
hex958222d7c

40133340540 has 72 divisors (see below), whose sum is σ = 126246622320. Its totient is φ = 10702222848.

The previous prime is 40133340493. The next prime is 40133340547. The reversal of 40133340540 is 4504333104.

40133340540 is a `hidden beast` number, since 40 + 13 + 33 + 40 + 540 = 666.

It is a super-2 number, since 2×401333405402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133340547) 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, 4124085 + ... + 4133804.

It is an arithmetic number, because the mean of its divisors is an integer number (1753425310).

Almost surely, 240133340540 is an apocalyptic number.

It is an amenable number.

40133340540 is an abundant number, since it is smaller than the sum of its proper divisors (86113281780).

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

40133340540 is a wasteful number, since it uses less digits than its factorization.

40133340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257913 (or 8257899 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 40133340540 its reverse (4504333104), we get a palindrome (44637673644).

The spelling of 40133340540 in words is "forty billion, one hundred thirty-three million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 8257889 16515778 24773667 33031556 41289445 49547334 74321001 82578890 99094668 123868335 148642002 165157780 222963003 247736670 297284004 371605005 445926006 495473340 668889009 743210010 891852012 1114815015 1337778018 1486420020 2006667027 2229630030 2675556036 3344445045 4013334054 4459260060 6688890090 8026668108 10033335135 13377780180 20066670270 40133340540