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23144205413140 = 22573717325826551
BaseRepresentation
bin1010100001100101011100…
…01001000110101100010100
310000221120020110122210011021
411100302232021012230110
511013143313041210030
6121120145020050524
74606053662043010
oct520625611065424
9100846213583137
1023144205413140
117413447650aa9
122719603693a44
13cbb648a28466
145a02850c7540
152a20795e997a
hex150cae246b14

23144205413140 has 96 divisors (see below), whose sum is σ = 57377094372864. Its totient is φ = 7676063884800.

The previous prime is 23144205413123. The next prime is 23144205413149. The reversal of 23144205413140 is 4131450244132.

It is a junction number, because it is equal to n+sod(n) for n = 23144205413096 and 23144205413105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144205413149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12017136 + ... + 13809415.

It is an arithmetic number, because the mean of its divisors is an integer number (597678066384).

Almost surely, 223144205413140 is an apocalyptic number.

23144205413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23144205413140 is an abundant number, since it is smaller than the sum of its proper divisors (34232888959724).

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

23144205413140 is a wasteful number, since it uses less digits than its factorization.

23144205413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25826777 (or 25826775 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 23144205413140 its reverse (4131450244132), we get a palindrome (27275655657272).

The spelling of 23144205413140 in words is "twenty-three trillion, one hundred forty-four billion, two hundred five million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 173 185 259 346 370 518 692 740 865 1036 1211 1295 1730 2422 2590 3460 4844 5180 6055 6401 12110 12802 24220 25604 32005 44807 64010 89614 128020 179228 224035 448070 896140 25826551 51653102 103306204 129132755 180785857 258265510 361571714 516531020 723143428 903929285 955582387 1807858570 1911164774 3615717140 3822329548 4467993323 4777911935 6689076709 8935986646 9555823870 13378153418 17871973292 19111647740 22339966615 26756306836 31275953261 33445383545 44679933230 62551906522 66890767090 89359866460 125103813044 133781534180 156379766305 165315752951 312759532610 330631505902 625519065220 661263011804 826578764755 1157210270657 1653157529510 2314420541314 3306315059020 4628841082628 5786051353285 11572102706570 23144205413140