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5541142411455 = 357173789942691
BaseRepresentation
bin101000010100010010111…
…0100110011100010111111
3201121201122202000220001120
41100220211310303202333
51211241224424131310
615441322104242023
71111222450236120
oct120504564634277
921551582026046
105541142411455
111846a924856a2
12755ab1470313
133126b1b745b1
1415229ab96047
159921029db70
hex50a25d338bf

5541142411455 has 128 divisors (see below), whose sum is σ = 11142166947840. Its totient is φ = 2293587394560.

The previous prime is 5541142411447. The next prime is 5541142411481.

5541142411455 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5541142411455 - 23 = 5541142411447 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5406660 + ... + 6349350.

It is an arithmetic number, because the mean of its divisors is an integer number (87048179280).

Almost surely, 25541142411455 is an apocalyptic number.

5541142411455 is an abundant number, since it is smaller than the sum of its proper divisors (5601024536385).

5541142411455 is a wasteful number, since it uses less digits than its factorization.

5541142411455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942849.

The product of its digits is 320000, while the sum is 42.

The spelling of 5541142411455 in words is "five trillion, five hundred forty-one billion, one hundred forty-two million, four hundred eleven thousand, four hundred fifty-five".

Divisors: 1 3 5 7 15 17 21 35 37 51 85 89 105 111 119 185 255 259 267 357 445 555 595 623 629 777 1295 1335 1513 1785 1869 1887 3115 3145 3293 3885 4403 4539 7565 9345 9435 9879 10591 13209 16465 22015 22695 23051 31773 49395 52955 55981 66045 69153 115255 158865 167943 279905 345765 391867 839715 942691 1175601 1959335 2828073 4713455 5878005 6598837 14140365 16025747 19796511 32994185 34879567 48077241 80128735 83899499 98982555 104638701 112180229 174397835 240386205 244156969 251698497 336540687 419497495 523193505 560901145 587296493 592952639 732470907 1220784845 1258492485 1426291483 1682703435 1761889479 1778857917 2936482465 2964763195 3104281463 3662354535 4150668473 4278874449 7131457415 8809447395 8894289585 9312844389 9984040381 12452005419 15521407315 20753342365 21394372245 21729970241 29952121143 46564221945 49920201905 52772784871 62260027095 65189910723 108649851205 149760605715 158318354613 263863924355 325949553615 369409494097 791591773065 1108228482291 1847047470485 5541142411455