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20424120040140 = 22353146723513297
BaseRepresentation
bin1001010010011010111000…
…11010110111101011001100
32200022112020001010212110120
410221031130122313223030
510134112044212241030
6111234413342304540
74205410506622425
oct451153432675314
980275201125416
1020424120040140
116564903341603
12235a3b8588150
13b51ca8a5a67b
1450876598664c
15256429083010
hex12935c6b7acc

20424120040140 has 96 divisors (see below), whose sum is σ = 59158705342464. Its totient is φ = 5259454049280.

The previous prime is 20424120040133. The next prime is 20424120040141. The reversal of 20424120040140 is 4104002142402.

It is a super-2 number, since 2×204241200401402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20424120040140.

It is not an unprimeable number, because it can be changed into a prime (20424120040141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10888029 + ... + 12625268.

It is an arithmetic number, because the mean of its divisors is an integer number (616236513984).

Almost surely, 220424120040140 is an apocalyptic number.

20424120040140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424120040140 is an abundant number, since it is smaller than the sum of its proper divisors (38734585302324).

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

20424120040140 is a wasteful number, since it uses less digits than its factorization.

20424120040140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23513807 (or 23513805 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20424120040140 its reverse (4104002142402), we get a palindrome (24528122182542).

The spelling of 20424120040140 in words is "twenty trillion, four hundred twenty-four billion, one hundred twenty million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 467 620 930 934 1401 1860 1868 2335 2802 4670 5604 7005 9340 14010 14477 28020 28954 43431 57908 72385 86862 144770 173724 217155 289540 434310 868620 23513297 47026594 70539891 94053188 117566485 141079782 235132970 282159564 352699455 470265940 705398910 728912207 1410797820 1457824414 2186736621 2915648828 3644561035 4373473242 7289122070 8746946484 10933683105 10980709699 14578244140 21867366210 21961419398 32942129097 43734732420 43922838796 54903548495 65884258194 109807096990 131768516388 164710645485 219614193980 329421290970 340402000669 658842581940 680804001338 1021206002007 1361608002676 1702010003345 2042412004014 3404020006690 4084824008028 5106030010035 6808040013380 10212060020070 20424120040140