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10040042351241 = 3273114473552751
BaseRepresentation
bin1001001000011010000100…
…1010000110101010001001
31022112211002210222110022100
42102012201022012222021
52303444001320214431
633204155355344013
72054240415615150
oct222064112065211
938484083873270
1010040042351241
113220a5a189191
1211619b1a52009
1357aa05c18896
14269d251a2597
151262704e34e6
hex921a1286a89

10040042351241 has 48 divisors (see below), whose sum is σ = 17120512933888. Its totient is φ = 5548258620000.

The previous prime is 10040042351221. The next prime is 10040042351267. The reversal of 10040042351241 is 14215324004001.

10040042351241 is a `hidden beast` number, since 1 + 0 + 0 + 400 + 4 + 235 + 1 + 24 + 1 = 666.

It is not a de Polignac number, because 10040042351241 - 26 = 10040042351177 is a prime.

It is a super-2 number, since 2×100400423512412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10040042351221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049616 + ... + 4602366.

Almost surely, 210040042351241 is an apocalyptic number.

It is an amenable number.

10040042351241 is a deficient number, since it is larger than the sum of its proper divisors (7080470582647).

10040042351241 is a wasteful number, since it uses less digits than its factorization.

10040042351241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554242 (or 3554239 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10040042351241 its reverse (14215324004001), we get a palindrome (24255366355242).

The spelling of 10040042351241 in words is "ten trillion, forty billion, forty-two million, three hundred fifty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1447 1953 4341 10129 13023 30387 44857 91161 134571 313999 403713 941997 2825991 3552751 10658253 24869257 31974759 74607771 110135281 223823313 330405843 770946967 991217529 2312840901 5140830697 6938522703 15422492091 35985814879 46267476273 107957444637 159365751607 323872333911 478097254821 1115560261249 1434291764463 3346680783747 10040042351241