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5741441475 = 35272111091303
BaseRepresentation
bin1010101100011011…
…10111000111000011
3112211010112110001120
411112031313013003
543224302111400
62345415003323
7262164306300
oct52615670703
915733473046
105741441475
112486991a60
121142969543
1370664a963
143c67460a7
152390b2ca0
hex1563771c3

5741441475 has 144 divisors (see below), whose sum is σ = 12166007040. Its totient is φ = 2362348800.

The previous prime is 5741441471. The next prime is 5741441477.

5741441475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5741441475 - 22 = 5741441471 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5741441471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4405674 + ... + 4406976.

It is an arithmetic number, because the mean of its divisors is an integer number (84486160).

Almost surely, 25741441475 is an apocalyptic number.

5741441475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5741441475 is an abundant number, since it is smaller than the sum of its proper divisors (6424565565).

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

5741441475 is a wasteful number, since it uses less digits than its factorization.

5741441475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1438 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 5741441475 is about 75772.3001828505. The cubic root of 5741441475 is about 1790.6346360296.

It can be divided in two parts, 57414 and 41475, that added together give a palindrome (98889).

The spelling of 5741441475 in words is "five billion, seven hundred forty-one million, four hundred forty-one thousand, four hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 109 147 165 175 231 245 275 327 385 525 539 545 735 763 825 1155 1199 1225 1303 1617 1635 1925 2289 2695 2725 3597 3675 3815 3909 5341 5775 5995 6515 8085 8175 8393 9121 11445 13475 14333 16023 17985 19075 19545 25179 26705 27363 29975 32575 40425 41965 42999 45605 57225 58751 63847 71665 80115 89925 97725 100331 125895 133525 136815 142027 176253 191541 209825 214995 228025 293755 300993 319235 358325 400575 426081 501655 629475 684075 702317 710135 881265 957705 994189 1074975 1468775 1504965 1562297 1596175 2106951 2130405 2508275 2982567 3511585 3550675 4406325 4686891 4788525 4970945 6959323 7524825 7811485 10534755 10652025 10936079 14912835 17557925 20877969 23434455 24854725 32808237 34796615 39057425 52673775 54680395 74564175 76552553 104389845 117172275 164041185 173983075 229657659 273401975 382762765 521949225 820205925 1148288295 1913813825 5741441475