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10031404140 = 223251491512477
BaseRepresentation
bin10010101011110101…
…10001010001101100
3221220002212010111200
421111322301101230
5131021014413030
64335223445500
7503405346132
oct112572612154
927802763450
1010031404140
11428851444a
121b3b5b6890
13c3b3645c4
146b23b9752
153daa12d60
hex255eb146c

10031404140 has 144 divisors (see below), whose sum is σ = 30848126400. Its totient is φ = 2638425600.

The previous prime is 10031404129. The next prime is 10031404177. The reversal of 10031404140 is 4140413001.

10031404140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4048582 + ... + 4051058.

It is an arithmetic number, because the mean of its divisors is an integer number (214223100).

Almost surely, 210031404140 is an apocalyptic number.

10031404140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031404140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424063200).

10031404140 is an abundant number, since it is smaller than the sum of its proper divisors (20816722260).

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

10031404140 is a wasteful number, since it uses less digits than its factorization.

10031404140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10031404140 its reverse (4140413001), we get a palindrome (14171817141).

The spelling of 10031404140 in words is "ten billion, thirty-one million, four hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 149 151 180 298 302 447 453 596 604 745 755 894 906 1341 1359 1490 1510 1788 1812 2235 2265 2477 2682 2718 2980 3020 4470 4530 4954 5364 5436 6705 6795 7431 8940 9060 9908 12385 13410 13590 14862 22293 22499 24770 26820 27180 29724 37155 44586 44998 49540 67497 74310 89172 89996 111465 112495 134994 148620 202491 222930 224990 269988 337485 369073 374027 404982 445860 449980 674970 738146 748054 809964 1012455 1107219 1122081 1349940 1476292 1496108 1845365 1870135 2024910 2214438 2244162 3321657 3366243 3690730 3740270 4049820 4428876 4488324 5536095 5610405 6643314 6732486 7381460 7480540 11072190 11220810 13286628 13464972 16608285 16831215 22144380 22441620 33216570 33662430 55730023 66433140 67324860 111460046 167190069 222920092 278650115 334380138 501570207 557300230 668760276 835950345 1003140414 1114600460 1671900690 2006280828 2507851035 3343801380 5015702070 10031404140