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241541511426040 = 23578314621710851
BaseRepresentation
bin110110111010111001000011…
…111111001010111111111000
31011200020010212020021010212011
4312322321003333022333320
5223124404003411113130
62213414345525255304
7101606540552324530
oct6672710377127770
91150203766233764
10241541511426040
116aa651a8253581
1223110443564534
13a4a13611b5417
1443909589724c0
151cdd0b069252a
hexdbae43fcaff8

241541511426040 has 128 divisors (see below), whose sum is σ = 628633834053120. Its totient is φ = 81810759744000.

The previous prime is 241541511426001. The next prime is 241541511426041. The reversal of 241541511426040 is 40624115145142.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 241541511425984 and 241541511426002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241541511426041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339436615 + ... + 340147465.

It is an arithmetic number, because the mean of its divisors is an integer number (4911201828540).

Almost surely, 2241541511426040 is an apocalyptic number.

241541511426040 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 241541511426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314316917026560).

241541511426040 is an abundant number, since it is smaller than the sum of its proper divisors (387092322627080).

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

241541511426040 is a wasteful number, since it uses less digits than its factorization.

241541511426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725573 (or 725569 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 241541511426040 in words is "two hundred forty-one trillion, five hundred forty-one billion, five hundred eleven million, four hundred twenty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 664 830 1162 1660 2324 2905 3320 4648 5810 11620 14621 23240 29242 58484 73105 102347 116968 146210 204694 292420 409388 511735 584840 710851 818776 1023470 1213543 1421702 2046940 2427086 2843404 3554255 4093880 4854172 4975957 5686808 6067715 7108510 8494801 9708344 9951914 12135430 14217020 16989602 19903828 24270860 24879785 28434040 33979204 39807656 42474005 48541720 49759570 59000633 67958408 84948010 99519140 118001266 169896020 199038280 236002532 295003165 339792040 413004431 472005064 590006330 826008862 1180012660 1652017724 2065022155 2360025320 3304035448 4130044310 8260088620 10393352471 16520177240 20786704942 41573409884 51966762355 72753467297 83146819768 103933524710 145506934594 207867049420 291013869188 363767336485 415734098840 582027738376 727534672970 862648255093 1455069345940 1725296510186 2910138691880 3450593020372 4313241275465 6038537785651 6901186040744 8626482550930 12077075571302 17252965101860 24154151142604 30192688928255 34505930203720 48308302285208 60385377856510 120770755713020 241541511426040