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10024030144 = 261759156157
BaseRepresentation
bin10010101010111101…
…01000111111000000
3221212120222111021201
421111132220333000
5131012122431034
64334401430544
7503255564452
oct112536507700
927776874251
1010024030144
114284338237
121b3903b454
13c399820ab
146b141a2d2
153da058014
hex2557a8fc0

10024030144 has 56 divisors (see below), whose sum is σ = 21418631280. Its totient is φ = 4637208576.

The previous prime is 10024030109. The next prime is 10024030147. The reversal of 10024030144 is 44103042001.

10024030144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024030147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13887 + ... + 142270.

Almost surely, 210024030144 is an apocalyptic number.

It is an amenable number.

10024030144 is an abundant number, since it is smaller than the sum of its proper divisors (11394601136).

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

10024030144 is a wasteful number, since it uses less digits than its factorization.

10024030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156245 (or 156235 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10024030144 its reverse (44103042001), we get a palindrome (54127072145).

The spelling of 10024030144 in words is "ten billion, twenty-four million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 59 64 68 118 136 236 272 472 544 944 1003 1088 1888 2006 3776 4012 8024 16048 32096 64192 156157 312314 624628 1249256 2498512 2654669 4997024 5309338 9213263 9994048 10618676 18426526 21237352 36853052 42474704 73706104 84949408 147412208 156625471 169898816 294824416 313250942 589648832 626501884 1253003768 2506007536 5012015072 10024030144