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412349042226 = 231197722432851
BaseRepresentation
bin1100000000000011110…
…10110000111000110010
31110102100022110201021010
412000001322300320302
523223442323322401
6513232555011350
741535252012402
oct6000172607062
91412308421233
10412349042226
11149970314620
1267abaa39b56
132cb65bb2114
1415d5a2bc802
15aad5b13ed6
hex6001eb0e32

412349042226 has 64 divisors (see below), whose sum is σ = 901309026816. Its totient is φ = 124726944000.

The previous prime is 412349042111. The next prime is 412349042317. The reversal of 412349042226 is 622240943214.

It is a super-3 number, since 3×4123490422263 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144631701 + ... + 144634551.

It is an arithmetic number, because the mean of its divisors is an integer number (14082953544).

Almost surely, 2412349042226 is an apocalyptic number.

412349042226 is an abundant number, since it is smaller than the sum of its proper divisors (488959984590).

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

412349042226 is a wasteful number, since it uses less digits than its factorization.

412349042226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087.

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 412349042226 in words is "four hundred twelve billion, three hundred forty-nine million, forty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 977 1954 2243 2851 2931 4486 5702 5862 6729 8553 10747 13458 17106 21494 24673 31361 32241 49346 62722 64482 74019 94083 148038 188166 2191411 2785427 4382822 5570854 6394793 6574233 8356281 12789586 13148466 16712562 19184379 24105521 30639697 38368758 48211042 61279394 70342723 72316563 91919091 140685446 144633126 183838182 211028169 422056338 6247712761 12495425522 18743138283 37486276566 68724840371 137449680742 206174521113 412349042226