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10411301142 = 2341119331929
BaseRepresentation
bin10011011001000111…
…11101100100010110
3222212120200220020000
421230203331210112
5132310243114032
64441034152130
7516000412434
oct115443754426
928776626200
1010411301142
1144629a9710
122026882646
13c9bc87928
1470aa29d54
1540e054e7c
hex26c8fd916

10411301142 has 160 divisors (see below), whose sum is σ = 26899171200. Its totient is φ = 2976652800.

The previous prime is 10411301137. The next prime is 10411301149. The reversal of 10411301142 is 24110311401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10411301149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11206534 + ... + 11207462.

It is an arithmetic number, because the mean of its divisors is an integer number (168119820).

Almost surely, 210411301142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10411301142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13449585600).

10411301142 is an abundant number, since it is smaller than the sum of its proper divisors (16487870058).

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

10411301142 is a wasteful number, since it uses less digits than its factorization.

10411301142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10411301142 its reverse (24110311401), we get a palindrome (34521612543).

The spelling of 10411301142 in words is "ten billion, four hundred eleven million, three hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 331 342 418 513 594 627 662 891 929 993 1026 1254 1539 1782 1858 1881 1986 2787 2979 3078 3641 3762 5574 5643 5958 6289 7282 8361 8937 10219 10923 11286 12578 16722 16929 17651 17874 18867 20438 21846 25083 26811 30657 32769 33858 35302 37734 50166 52953 53622 56601 61314 65538 69179 75249 91971 98307 105906 113202 138358 150498 158859 169803 183942 194161 196614 207537 275913 294921 307499 317718 339606 388322 415074 476577 509409 551826 582483 589842 614998 622611 827739 922497 953154 1018818 1164966 1245222 1429731 1655478 1747449 1844994 1867833 2767491 2859462 3382489 3494898 3735666 5242347 5534982 5603499 5842481 6764978 8302473 10147467 10484694 11206998 11684962 15727041 16604946 17527443 20294934 24907419 30442401 31454082 35054886 49814838 52582329 60884802 64267291 91327203 105164658 128534582 157746987 182654406 192801873 273981609 315493974 385603746 473240961 547963218 578405619 946481922 1156811238 1735216857 3470433714 5205650571 10411301142