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241026011136 = 2123225572
BaseRepresentation
bin1110000001111001000…
…1010001000000000000
3212001010111221222200100
43200132101101000000
512422110124324021
6302420435522400
723261564201631
oct3403621210000
9761114858610
10241026011136
1193244999629
123a867159400
1319961b18101
14b946a4b888
15640a079626
hex381e451000

241026011136 has 117 divisors (see below), whose sum is σ = 696484751781. Its totient is φ = 80310583296.

The previous prime is 241026011131. The next prime is 241026011173. The reversal of 241026011136 is 631110620142.

It is a happy number.

The square root of 241026011136 is 490944.

It is a perfect power (a square), and thus also a powerful number.

241026011136 is a `hidden beast` number, since 2 + 4 + 10 + 2 + 601 + 11 + 36 = 666.

241026011136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 103426560000 + 137599451136 = 321600^2 + 370944^2 .

It is not an unprimeable number, because it can be changed into a prime (241026011131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94259970 + ... + 94262526.

Almost surely, 2241026011136 is an apocalyptic number.

241026011136 is the 490944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241026011136

241026011136 is an abundant number, since it is smaller than the sum of its proper divisors (455458740645).

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

241026011136 is an frugal number, since it uses more digits than its factorization.

241026011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 241026011136 its reverse (631110620142), we get a palindrome (872136631278).

The spelling of 241026011136 in words is "two hundred forty-one billion, twenty-six million, eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2557 3072 4096 4608 5114 6144 7671 9216 10228 12288 15342 18432 20456 23013 30684 36864 40912 46026 61368 81824 92052 122736 163648 184104 245472 327296 368208 490944 654592 736416 981888 1309184 1472832 1963776 2618368 2945664 3927552 5236736 5891328 6538249 7855104 10473472 11782656 13076498 15710208 19614747 23565312 26152996 31420416 39229494 47130624 52305992 58844241 78458988 94261248 104611984 117688482 156917976 209223968 235376964 313835952 418447936 470753928 627671904 836895872 941507856 1255343808 1673791744 1883015712 2510687616 3347583488 3766031424 5021375232 6695166976 7532062848 10042750464 13390333952 15064125696 20085500928 26780667904 30128251392 40171001856 60256502784 80342003712 120513005568 241026011136