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40124252430 = 23256143316879
BaseRepresentation
bin100101010111100101…
…111000000100001110
310211120022212012210100
4211113211320010032
51124133302034210
630233253551530
72620213342533
oct452745700416
9124508765710
1040124252430
11160201047a9
1279396455a6
133a25a37c02
141d28cb2d8a
15109c87c5c0
hex95797810e

40124252430 has 96 divisors (see below), whose sum is σ = 106284447360. Its totient is φ = 10499466240.

The previous prime is 40124252429. The next prime is 40124252449. The reversal of 40124252430 is 3425242104.

40124252430 is a `hidden beast` number, since 401 + 2 + 4 + 252 + 4 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40124252394 and 40124252403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2368731 + ... + 2385609.

It is an arithmetic number, because the mean of its divisors is an integer number (1107129660).

Almost surely, 240124252430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40124252430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142223680).

40124252430 is an abundant number, since it is smaller than the sum of its proper divisors (66160194930).

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

40124252430 is a wasteful number, since it uses less digits than its factorization.

40124252430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17383 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40124252430 its reverse (3425242104), we get a palindrome (43549494534).

The spelling of 40124252430 in words is "forty billion, one hundred twenty-four million, two hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 433 549 610 866 915 1098 1299 1830 2165 2598 2745 3897 4330 5490 6495 7794 12990 16879 19485 26413 33758 38970 50637 52826 79239 84395 101274 132065 151911 158478 168790 237717 253185 264130 303822 396195 475434 506370 759555 792390 1029619 1188585 1519110 2059238 2377170 3088857 5148095 6177714 7308607 9266571 10296190 14617214 15444285 18533142 21925821 30888570 36543035 43851642 46332855 65777463 73086070 92665710 109629105 131554926 219258210 328887315 445825027 657774630 891650054 1337475081 2229125135 2674950162 4012425243 4458250270 6687375405 8024850486 13374750810 20062126215 40124252430