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140011456 = 26131719521
BaseRepresentation
bin10000101100001…
…10011111000000
3100202110022121111
420112012133000
5241320331311
621520533104
73320035444
oct1026063700
9322408544
10140011456
117203a752
123aa81194
1323012620
1414848824
15c459d21
hex85867c0

140011456 has 112 divisors (see below), whose sum is σ = 334121760. Its totient is φ = 57507840.

The previous prime is 140011429. The next prime is 140011457. The reversal of 140011456 is 654110041.

It is a super-2 number, since 2×1400114562 = 39206415622479872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140011457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268476 + ... + 268996.

It is an arithmetic number, because the mean of its divisors is an integer number (2983230).

Almost surely, 2140011456 is an apocalyptic number.

140011456 is a gapful number since it is divisible by the number (16) 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 140011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167060880).

140011456 is an abundant number, since it is smaller than the sum of its proper divisors (194110304).

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

140011456 is a wasteful number, since it uses less digits than its factorization.

140011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 140011456 is about 11832.6436606534. The cubic root of 140011456 is about 519.2635729446.

Adding to 140011456 its reverse (654110041), we get a palindrome (794121497).

The spelling of 140011456 in words is "one hundred forty million, eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 64 68 76 104 136 152 208 221 247 272 304 323 416 442 494 521 544 608 646 832 884 988 1042 1088 1216 1292 1768 1976 2084 2584 3536 3952 4168 4199 5168 6773 7072 7904 8336 8398 8857 9899 10336 13546 14144 15808 16672 16796 17714 19798 20672 27092 33344 33592 35428 39596 54184 67184 70856 79192 108368 115141 128687 134368 141712 158384 168283 216736 230282 257374 268736 283424 316768 336566 433472 460564 514748 566848 633536 673132 921128 1029496 1346264 1842256 2058992 2187679 2692528 3684512 4117984 4375358 5385056 7369024 8235968 8750716 10770112 17501432 35002864 70005728 140011456