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140152122 = 232112229281
BaseRepresentation
bin10000101101010…
…00110100111010
3100202201110120100
420112220310322
5241334331442
621523540230
73321162525
oct1026506472
9322643510
10140152122
1172126400
123ab2a676
1323061666
1414883bbc
15c48684c
hex85a8d3a

140152122 has 72 divisors (see below), whose sum is σ = 336428820. Its totient is φ = 42134400.

The previous prime is 140152121. The next prime is 140152169. The reversal of 140152122 is 221251041.

140152122 is a `hidden beast` number, since 140 + 1 + 521 + 2 + 2 = 666.

140152122 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 123676641 + 16475481 = 11121^2 + 4059^2 .

It is a super-2 number, since 2×1401521222 = 39285234602205768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140152095 and 140152104.

It is not an unprimeable number, because it can be changed into a prime (140152121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498622 + ... + 498902.

Almost surely, 2140152122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140152122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168214410).

140152122 is an abundant number, since it is smaller than the sum of its proper divisors (196276698).

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

140152122 is a wasteful number, since it uses less digits than its factorization.

140152122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 140152122 is about 11838.5861486919. The cubic root of 140152122 is about 519.4374117720.

The spelling of 140152122 in words is "one hundred forty million, one hundred fifty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 229 242 281 363 458 562 687 726 843 1089 1374 1686 2061 2178 2519 2529 3091 4122 5038 5058 6182 7557 9273 15114 18546 22671 27709 27819 34001 45342 55418 55638 64349 68002 83127 102003 128698 166254 193047 204006 249381 306009 386094 498762 579141 612018 707839 1158282 1415678 2123517 4247034 6370551 7786229 12741102 15572458 23358687 46717374 70076061 140152122