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10042122440 = 2357191887617
BaseRepresentation
bin10010101101000111…
…01010000011001000
3221220212000200020202
421112203222003020
5131031240404230
64340245311332
7503565426620
oct112643520310
927825020222
1010042122440
114293575249
121b43105548
13c406480ac
146b39a9880
153db92da45
hex2568ea0c8

10042122440 has 64 divisors (see below), whose sum is σ = 27181699200. Its totient is φ = 3261800448.

The previous prime is 10042122439. The next prime is 10042122443. The reversal of 10042122440 is 4422124001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10042122443) 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, 938489 + ... + 949128.

It is an arithmetic number, because the mean of its divisors is an integer number (424714050).

Almost surely, 210042122440 is an apocalyptic number.

10042122440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042122440 is an abundant number, since it is smaller than the sum of its proper divisors (17139576760).

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

10042122440 is a wasteful number, since it uses less digits than its factorization.

10042122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887654 (or 1887650 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10042122440 its reverse (4422124001), we get a palindrome (14464246441).

The spelling of 10042122440 in words is "ten billion, forty-two million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 1887617 3775234 7550468 9438085 13213319 15100936 18876170 26426638 35864723 37752340 52853276 66066595 71729446 75504680 105706552 132133190 143458892 179323615 251053061 264266380 286917784 358647230 502106122 528532760 717294460 1004212244 1255265305 1434588920 2008424488 2510530610 5021061220 10042122440