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23003240040 = 23325115808899
BaseRepresentation
bin10101011011000110…
…011001011001101000
32012101010122200002100
4111123012121121220
5334102312140130
614322331133400
71443020212524
oct253306313150
965333580070
1023003240040
119834802790
12455b8a4260
132227954b51
1411830d2d84
158e974ec60
hex55b199668

23003240040 has 96 divisors (see below), whose sum is σ = 81556956000. Its totient is φ = 5576542080.

The previous prime is 23003240009. The next prime is 23003240069. The reversal of 23003240040 is 4004230032.

23003240040 is a `hidden beast` number, since 2 + 300 + 324 + 0 + 0 + 40 = 666.

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 = 23003239995 and 23003240022.

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, 2900490 + ... + 2908409.

It is an arithmetic number, because the mean of its divisors is an integer number (849551625).

Almost surely, 223003240040 is an apocalyptic number.

23003240040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23003240040 is an abundant number, since it is smaller than the sum of its proper divisors (58553715960).

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

23003240040 is a wasteful number, since it uses less digits than its factorization.

23003240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808927 (or 5808920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 23003240040 its reverse (4004230032), we get a palindrome (27007470072).

It can be divided in two parts, 230032 and 40040, that added together give a palindrome (270072).

The spelling of 23003240040 in words is "twenty-three billion, three million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5808899 11617798 17426697 23235596 29044495 34853394 46471192 52280091 58088990 63897889 69706788 87133485 104560182 116177980 127795778 139413576 174266970 191693667 209120364 232355960 255591556 261400455 319489445 348533940 383387334 418240728 511183112 522800910 575081001 638978890 697067880 766774668 958468335 1045601820 1150162002 1277957780 1533549336 1916936670 2091203640 2300324004 2555915560 2875405005 3833873340 4600648008 5750810010 7667746680 11501620020 23003240040