Search a number
-
+
40331043424 = 257196722111
BaseRepresentation
bin100101100011111010…
…101110001001100000
310212002201222021201001
4211203322232021200
51130044221342144
630310002121344
72625304132660
oct454372561140
9125081867631
1040331043424
1116116905951
127996950254
133a5982c249
141d485421a0
1510b0ac8bd4
hex963eae260

40331043424 has 144 divisors (see below), whose sum is σ = 97013790720. Its totient is φ = 16122965760.

The previous prime is 40331043407. The next prime is 40331043427. The reversal of 40331043424 is 42434013304.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40331043392 and 40331043401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40331043427) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19104129 + ... + 19106239.

It is an arithmetic number, because the mean of its divisors is an integer number (673706880).

Almost surely, 240331043424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40331043424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48506895360).

40331043424 is an abundant number, since it is smaller than the sum of its proper divisors (56682747296).

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

40331043424 is a wasteful number, since it uses less digits than its factorization.

40331043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 40331043424 its reverse (42434013304), we get a palindrome (82765056728).

The spelling of 40331043424 in words is "forty billion, three hundred thirty-one million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 67 76 112 133 134 152 224 266 268 304 469 532 536 608 938 1064 1072 1273 1876 2111 2128 2144 2546 3752 4222 4256 4489 5092 7504 8444 8911 8978 10184 14777 15008 16888 17822 17956 20368 29554 31423 33776 35644 35912 40109 40736 59108 62846 67552 71288 71824 80218 85291 118216 125692 141437 142576 143648 160436 170582 236432 251384 280763 282874 285152 320872 341164 472864 502768 561526 565748 597037 641744 682328 990059 1005536 1123052 1131496 1194074 1283488 1364656 1980118 2246104 2262992 2388148 2687303 2729312 3960236 4492208 4525984 4776296 5374606 7920472 8984416 9476279 9552592 10749212 15840944 18811121 18952558 19105184 21498424 31681888 37622242 37905116 42996848 66333953 75244484 75810232 85993696 132667906 150488968 151620464 180049301 265335812 300977936 303240928 360098602 530671624 601955872 720197204 1061343248 1260345107 1440394408 2122686496 2520690214 2880788816 5041380428 5761577632 10082760856 20165521712 40331043424