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211438029042 = 232193119943221
BaseRepresentation
bin1100010011101010110…
…0000100100011110010
3202012202110221202121200
43010322230010203302
511431011113412132
6241044442432030
721163426410312
oct3047254044362
9665673852550
10211438029042
1181741289769
1234b8a202616
1316c27c117b6
14a33b215442
1557776d9d7c
hex313ab048f2

211438029042 has 48 divisors (see below), whose sum is σ = 497782821120. Its totient is φ = 64616032800.

The previous prime is 211438029041. The next prime is 211438029079. The reversal of 211438029042 is 240920834112.

211438029042 is a `hidden beast` number, since 211 + 4 + 380 + 29 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211438028988 and 211438029006.

It is not an unprimeable number, because it can be changed into a prime (211438029041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9961009 + ... + 9982212.

It is an arithmetic number, because the mean of its divisors is an integer number (10370475440).

Almost surely, 2211438029042 is an apocalyptic number.

211438029042 is an abundant number, since it is smaller than the sum of its proper divisors (286344792078).

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

211438029042 is a wasteful number, since it uses less digits than its factorization.

211438029042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19943279 (or 19943276 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 211438029042 in words is "two hundred eleven billion, four hundred thirty-eight million, twenty-nine thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 19943221 39886442 59829663 119659326 179488989 358977978 378921199 618239851 757842398 1136763597 1236479702 1854719553 2273527194 3410290791 3709439106 5564158659 6820581582 11128317318 11746557169 23493114338 35239671507 70479343014 105719014521 211438029042