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241046331020 = 2251179132110499
BaseRepresentation
bin1110000001111101111…
…0110001111010001100
3212001011221012100022122
43200133132301322030
512422130330043040
6302422443232112
723262232002365
oct3403736617214
9761157170278
10241046331020
1193255408220
123a871b18638
13199660b1001
14b94961ab6c
15640bc401b5
hex381f7b1e8c

241046331020 has 96 divisors (see below), whose sum is σ = 559681920000. Its totient is φ = 86469926400.

The previous prime is 241046330971. The next prime is 241046331041. The reversal of 241046331020 is 20133640142.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22953731 + ... + 22964229.

It is an arithmetic number, because the mean of its divisors is an integer number (5830020000).

Almost surely, 2241046331020 is an apocalyptic number.

241046331020 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 241046331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279840960000).

241046331020 is an abundant number, since it is smaller than the sum of its proper divisors (318635588980).

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

241046331020 is a wasteful number, since it uses less digits than its factorization.

241046331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11919 (or 11917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 241046331020 its reverse (20133640142), we get a palindrome (261179971162).

The spelling of 241046331020 in words is "two hundred forty-one billion, forty-six million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 110 158 220 316 395 790 869 1321 1580 1738 2642 3476 4345 5284 6605 8690 10499 13210 14531 17380 20998 26420 29062 41996 52495 58124 72655 104359 104990 115489 145310 208718 209980 230978 290620 417436 461956 521795 577445 829421 1043590 1147949 1154890 1658842 2087180 2295898 2309780 3317684 4147105 4591796 5739745 8294210 9123631 11479490 13869179 16588420 18247262 22958980 27738358 36494524 45618155 55476716 69345895 91236310 138691790 152560969 182472620 277383580 305121938 610243876 762804845 1095665141 1525609690 2191330282 3051219380 4382660564 5478325705 10956651410 12052316551 21913302820 24104633102 48209266204 60261582755 120523165510 241046331020