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41342420304 = 2433791211393
BaseRepresentation
bin100110100000001100…
…110100010101010000
310221201020001112222000
4212200030310111100
51134132124422204
630554211314000
72662334526423
oct464014642520
9127636045860
1041342420304
111659579a309
1280195ab900
133b8b2208c3
1420029b19ba
15111e7a6039
hex9a0334550

41342420304 has 80 divisors (see below), whose sum is σ = 120170284800. Its totient is φ = 13606354944.

The previous prime is 41342420299. The next prime is 41342420333. The reversal of 41342420304 is 40302424314.

It is a happy number.

41342420304 is a `hidden beast` number, since 413 + 4 + 242 + 0 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571569 + ... + 639824.

It is an arithmetic number, because the mean of its divisors is an integer number (1502128560).

Almost surely, 241342420304 is an apocalyptic number.

It is an amenable number.

41342420304 is an abundant number, since it is smaller than the sum of its proper divisors (78827864496).

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

41342420304 is a wasteful number, since it uses less digits than its factorization.

41342420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211489 (or 1211477 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 41342420304 its reverse (40302424314), we get a palindrome (81644844618).

The spelling of 41342420304 in words is "forty-one billion, three hundred forty-two million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 108 144 158 216 237 316 432 474 632 711 948 1264 1422 1896 2133 2844 3792 4266 5688 8532 11376 17064 34128 1211393 2422786 3634179 4845572 7268358 9691144 10902537 14536716 19382288 21805074 29073432 32707611 43610148 58146864 65415222 87220296 95700047 130830444 174440592 191400094 261660888 287100141 382800188 523321776 574200282 765600376 861300423 1148400564 1531200752 1722600846 2296801128 2583901269 3445201692 4593602256 5167802538 6890403384 10335605076 13780806768 20671210152 41342420304