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140562007056 = 243215721992
BaseRepresentation
bin1000001011101000100…
…1100000010000010000
3111102211000012210111100
42002322021200100100
54300332333211211
6144323455344400
713104154226562
oct2027211402020
9442730183440
10140562007056
1154680652389
12232a9b22100
1310341147753
146b36125332
1539ca237156
hex20ba260410

140562007056 has 135 divisors (see below), whose sum is σ = 397899393021. Its totient is φ = 46321621632.

The previous prime is 140562007037. The next prime is 140562007133. The reversal of 140562007056 is 650700265041.

It is a happy number.

The square root of 140562007056 is 374916.

It is a perfect power (a square), and thus also a powerful number.

140562007056 is a `hidden beast` number, since 1 + 40 + 562 + 0 + 0 + 7 + 0 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41200880400 + 99361126656 = 202980^2 + 315216^2 .

It is a super-2 number, since 2×1405620070562 (a number of 23 digits) contains 22 as substring.

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 140562007056.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 706341645 + ... + 706341843.

Almost surely, 2140562007056 is an apocalyptic number.

140562007056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140562007056 is the 374916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140562007056

140562007056 is an abundant number, since it is smaller than the sum of its proper divisors (257337385965).

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

140562007056 is an equidigital number, since it uses as much as digits as its factorization.

140562007056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 140562007056 by its sum of digits (36), we get a square (5060232254016 = 22494962).

140562007056 divided by its sum of digits (36) gives a square (3904500196 = 624862).

The spelling of 140562007056 in words is "one hundred forty billion, five hundred sixty-two million, seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 199 314 398 471 597 628 796 942 1194 1256 1413 1592 1791 1884 2388 2512 2826 3184 3582 3768 4776 5652 7164 7536 9552 11304 14328 22608 24649 28656 31243 39601 49298 62486 73947 79202 93729 98596 118803 124972 147894 158404 187458 197192 221841 237606 249944 281187 295788 316808 356409 374916 394384 443682 475212 499888 562374 591576 633616 712818 749832 887364 950424 1124748 1183152 1425636 1499664 1774728 1900848 2249496 2851272 3549456 4498992 4905151 5702544 6217357 9810302 12434714 14715453 18652071 19620604 24869428 29430906 37304142 39241208 44146359 49738856 55956213 58861812 74608284 78482416 88292718 99477712 111912426 117723624 149216568 176585436 223824852 235447248 298433136 353170872 447649704 706341744 895299408 976125049 1952250098 2928375147 3904500196 5856750294 7809000392 8785125441 11713500588 15618000784 17570250882 23427001176 35140501764 46854002352 70281003528 140562007056