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140063511456 = 253211257172031
BaseRepresentation
bin1000001001110001101…
…1111001001110100000
3111101112021012121002100
42002130123321032200
54243322224331311
6144202211050400
713055622126621
oct2023433711640
9441467177070
10140063511456
1154445223250
122318aba0a00
1310291a9b33b
146ac9c41a48
15399b5b9a56
hex209c6f93a0

140063511456 has 144 divisors (see below), whose sum is σ = 436208467968. Its totient is φ = 42278092800.

The previous prime is 140063511449. The next prime is 140063511473. The reversal of 140063511456 is 654115360041.

140063511456 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 635 + 1 + 14 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140063511456.

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 23 ways as a sum of consecutive naturals, for example, 728161 + ... + 900191.

It is an arithmetic number, because the mean of its divisors is an integer number (3029225472).

Almost surely, 2140063511456 is an apocalyptic number.

140063511456 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 140063511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218104233984).

140063511456 is an abundant number, since it is smaller than the sum of its proper divisors (296144956512).

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

140063511456 is a wasteful number, since it uses less digits than its factorization.

140063511456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172315 (or 172304 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 140063511456 its reverse (654115360041), we get a palindrome (794178871497).

The spelling of 140063511456 in words is "one hundred forty billion, sixty-three million, five hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 257 264 288 352 396 514 528 771 792 1028 1056 1542 1584 2056 2313 2827 3084 3168 4112 4626 5654 6168 8224 8481 9252 11308 12336 16962 18504 22616 24672 25443 33924 37008 45232 50886 67848 74016 90464 101772 135696 172031 203544 271392 344062 407088 516093 688124 814176 1032186 1376248 1548279 1892341 2064372 2752496 3096558 3784682 4128744 5504992 5677023 6193116 7569364 8257488 11354046 12386232 15138728 16514976 17031069 22708092 24772464 30277456 34062138 44211967 45416184 49544928 60554912 68124276 88423934 90832368 132635901 136248552 176847868 181664736 265271802 272497104 353695736 397907703 486331637 530543604 544994208 707391472 795815406 972663274 1061087208 1414782944 1458994911 1591630812 1945326548 2122174416 2917989822 3183261624 3890653096 4244348832 4376984733 5835979644 6366523248 7781306192 8753969466 11671959288 12733046496 15562612384 17507938932 23343918576 35015877864 46687837152 70031755728 140063511456