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32420011144311 = 337457375348907
BaseRepresentation
bin1110101111100010111110…
…01111110111010001110111
311020210022201022121102211000
413113301133033313101313
513222132140323104221
6152541314132414343
76554161045616010
oct727613717672167
9136708638542730
1032420011144311
11a36a28211512a
1237772701773b3
13151226a0bbc3b
148011cb986007
153b34bb3bce26
hex1d7c5f3f7477

32420011144311 has 32 divisors (see below), whose sum is σ = 55011135956480. Its totient is φ = 18485182922688.

The previous prime is 32420011144277. The next prime is 32420011144373. The reversal of 32420011144311 is 11344111002423.

It is a happy number.

32420011144311 is a `hidden beast` number, since 3 + 2 + 4 + 200 + 1 + 1 + 1 + 443 + 11 = 666.

It is not a de Polignac number, because 32420011144311 - 222 = 32420006950007 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32420011144211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187588081 + ... + 187760826.

It is an arithmetic number, because the mean of its divisors is an integer number (1719097998640).

Almost surely, 232420011144311 is an apocalyptic number.

32420011144311 is a deficient number, since it is larger than the sum of its proper divisors (22591124812169).

32420011144311 is a wasteful number, since it uses less digits than its factorization.

32420011144311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375349380 (or 375349374 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 32420011144311 its reverse (11344111002423), we get a palindrome (43764122146734).

The spelling of 32420011144311 in words is "thirty-two trillion, four hundred twenty billion, eleven million, one hundred forty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 457 1371 3199 4113 9597 12339 28791 86373 375348907 1126046721 2627442349 3378140163 7882327047 10134420489 23646981141 70940943423 171534450499 514603351497 1200741153493 1543810054491 3602223460479 4631430163473 10806670381437 32420011144311