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241414414140 = 223579293173827
BaseRepresentation
bin1110000011010101101…
…0111001111100111100
3212002010120210220102210
43200311122321330330
512423404042223030
6302523152420420
723304321443124
oct3406532717474
9762116726383
10241414414140
1193424163549
123a955247710
13199c4428c83
14b982473c84
15642e1ebbb0
hex38356b9f3c

241414414140 has 96 divisors (see below), whose sum is σ = 686857006080. Its totient is φ = 63344975616.

The previous prime is 241414414133. The next prime is 241414414141. The reversal of 241414414140 is 41414414142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241414414098 and 241414414107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241414414141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301907 + ... + 1475733.

It is an arithmetic number, because the mean of its divisors is an integer number (7154760480).

Almost surely, 2241414414140 is an apocalyptic number.

241414414140 is a gapful number since it is divisible by the number (20) 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 241414414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343428503040).

241414414140 is an abundant number, since it is smaller than the sum of its proper divisors (445442591940).

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

241414414140 is a wasteful number, since it uses less digits than its factorization.

241414414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174211 (or 174209 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 241414414140 its reverse (41414414142), we get a palindrome (282828828282).

The spelling of 241414414140 in words is "two hundred forty-one billion, four hundred fourteen million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 293 316 395 474 586 790 879 948 1172 1185 1465 1580 1758 2370 2930 3516 4395 4740 5860 8790 17580 23147 46294 69441 92588 115735 138882 173827 231470 277764 347205 347654 462940 521481 694410 695308 869135 1042962 1388820 1738270 2085924 2607405 3476540 5214810 10429620 13732333 27464666 41196999 50931311 54929332 68661665 82393998 101862622 137323330 152793933 164787996 203725244 205984995 254656555 274646660 305587866 411969990 509313110 611175732 763969665 823939980 1018626220 1527939330 3055878660 4023573569 8047147138 12070720707 16094294276 20117867845 24141441414 40235735690 48282882828 60353603535 80471471380 120707207070 241414414140