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10142426656340 = 22511323231426289
BaseRepresentation
bin1001001110010111011110…
…1111001110111001010100
31022220121101011010001021022
42103211313233032321110
52312133142211000330
633323211054340312
72064523534061366
oct223456757167124
938817334101238
1010142426656340
113260419486a70
1211798061ba698
135875716aa234
14270c78b58d36
15128c63c03ae5
hex93977bcee54

10142426656340 has 48 divisors (see below), whose sum is σ = 23236112571840. Its totient is φ = 3688038458880.

The previous prime is 10142426656321. The next prime is 10142426656343. The reversal of 10142426656340 is 4365662424101.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 10142426656291 and 10142426656300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142426656343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6397916 + ... + 7824204.

It is an arithmetic number, because the mean of its divisors is an integer number (484085678580).

Almost surely, 210142426656340 is an apocalyptic number.

10142426656340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142426656340 is an abundant number, since it is smaller than the sum of its proper divisors (13093685915500).

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

10142426656340 is a wasteful number, since it uses less digits than its factorization.

10142426656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458632 (or 1458630 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 10142426656340 in words is "ten trillion, one hundred forty-two billion, four hundred twenty-six million, six hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 32323 64646 129292 161615 323230 355553 646460 711106 1422212 1426289 1777765 2852578 3555530 5705156 7111060 7131445 14262890 15689179 28525780 31378358 62756716 78445895 156891790 313783580 46101939347 92203878694 184407757388 230509696735 461019393470 507121332817 922038786940 1014242665634 2028485331268 2535606664085 5071213328170 10142426656340