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140400144 = 24321783691
BaseRepresentation
bin10000101111001…
…01011000010000
3100210012001210100
420113211120100
5241420301034
621533132400
73323244603
oct1027453020
9323161710
10140400144
1172285785
123b02a100
132311a511
141490a33a
15c4d5099
hex85e5610

140400144 has 120 divisors (see below), whose sum is σ = 421660512. Its totient is φ = 43453440.

The previous prime is 140400133. The next prime is 140400173. The reversal of 140400144 is 441004041.

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

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 23 ways as a sum of consecutive naturals, for example, 202839 + ... + 203529.

Almost surely, 2140400144 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 140400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210830256).

140400144 is an abundant number, since it is smaller than the sum of its proper divisors (281260368).

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

140400144 is a wasteful number, since it uses less digits than its factorization.

140400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 140400144 is about 11849.0566713135. The cubic root of 140400144 is about 519.7436408946.

Adding to 140400144 its reverse (441004041), we get a palindrome (581404185).

The spelling of 140400144 in words is "one hundred forty million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 83 102 136 144 153 166 204 249 272 306 332 408 498 612 664 691 747 816 996 1224 1328 1382 1411 1494 1992 2073 2448 2764 2822 2988 3984 4146 4233 5528 5644 5976 6219 8292 8466 11056 11288 11747 11952 12438 12699 16584 16932 22576 23494 24876 25398 33168 33864 35241 46988 49752 50796 57353 67728 70482 93976 99504 101592 105723 114706 140964 172059 187952 203184 211446 229412 281928 344118 422892 458824 516177 563856 688236 845784 917648 975001 1032354 1376472 1691568 1950002 2064708 2752944 2925003 3900004 4129416 5850006 7800008 8258832 8775009 11700012 15600016 17550018 23400024 35100036 46800048 70200072 140400144