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42005341455 = 35711196131379
BaseRepresentation
bin100111000111101101…
…101010010100001111
311000102102110102211020
4213013231222110033
51142011331411310
631144052125223
73014634340230
oct470755522417
9130372412736
1042005341455
11168a5a13830
128183606813
133c65679c3c
142066a57087
15115caa2170
hex9c7b6a50f

42005341455 has 128 divisors (see below), whose sum is σ = 89651404800. Its totient is φ = 16266355200.

The previous prime is 42005341453. The next prime is 42005341517. The reversal of 42005341455 is 55414350024.

It is not a de Polignac number, because 42005341455 - 21 = 42005341453 is a prime.

It is a super-2 number, since 2×420053414552 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42005341453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1322956 + ... + 1354334.

It is an arithmetic number, because the mean of its divisors is an integer number (700401600).

Almost surely, 242005341455 is an apocalyptic number.

42005341455 is an abundant number, since it is smaller than the sum of its proper divisors (47646063345).

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

42005341455 is a wasteful number, since it uses less digits than its factorization.

42005341455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31485.

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 42005341455 its reverse (55414350024), we get a palindrome (97419691479).

The spelling of 42005341455 in words is "forty-two billion, five million, three hundred forty-one thousand, four hundred fifty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 61 77 95 105 133 165 183 209 231 285 305 385 399 427 627 665 671 915 1045 1155 1159 1281 1463 1995 2013 2135 3135 3355 3477 4389 4697 5795 6405 7315 8113 10065 12749 14091 17385 21945 23485 24339 31379 38247 40565 63745 70455 89243 94137 121695 156895 191235 219653 267729 345169 446215 470685 596201 658959 1035507 1098265 1338645 1725845 1788603 1914119 2416183 2981005 3294795 4173407 5177535 5742357 6558211 7248549 8943015 9570595 12080915 12520221 13398833 19674633 20867035 21055309 28711785 32791055 36242745 36368261 40196499 45907477 62601105 63165927 66994165 98373165 105276545 109104783 137722431 147387163 181841305 200982495 229537385 254577827 315829635 400050871 442161489 545523915 688612155 736935815 763733481 1200152613 1272889135 2000254355 2210807445 2800356097 3818667405 6000763065 8401068291 14001780485 42005341455