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241002110140 = 22511672244033
BaseRepresentation
bin1110000001110011011…
…0000101110010111100
3212001001211222200200021
43200130312011302330
512422033020011030
6302414223341524
723261154064501
oct3403466056274
9761054880607
10241002110140
1193232454440
123a85b1518a4
1319959b9a1cc
14b9437c94a8
156407e0797a
hex381cd85cbc

241002110140 has 72 divisors (see below), whose sum is σ = 560479720752. Its totient is φ = 86328760320.

The previous prime is 241002110119. The next prime is 241002110149. The reversal of 241002110140 is 41011200142.

It is a happy number.

241002110140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241002110149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 865564 + ... + 1109596.

It is an arithmetic number, because the mean of its divisors is an integer number (7784440566).

Almost surely, 2241002110140 is an apocalyptic number.

241002110140 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 241002110140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280239860376).

241002110140 is an abundant number, since it is smaller than the sum of its proper divisors (319477610612).

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

241002110140 is a wasteful number, since it uses less digits than its factorization.

241002110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244187 (or 244118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 241002110140 its reverse (41011200142), we get a palindrome (282013310282).

The spelling of 241002110140 in words is "two hundred forty-one billion, two million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 4489 7370 8978 14740 17956 22445 44890 49379 89780 98758 197516 244033 246895 488066 493790 976132 987580 1220165 2440330 2684363 4880660 5368726 10737452 13421815 16350211 26843630 32700422 53687260 65400844 81751055 163502110 179852321 327004220 359704642 719409284 899261605 1095464137 1798523210 2190928274 3597046420 4381856548 5477320685 10954641370 12050105507 21909282740 24100211014 48200422028 60250527535 120501055070 241002110140