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420114232032 = 25311397835447
BaseRepresentation
bin1100001110100001100…
…00100111001011100000
31111011101111001020010120
412013100300213023200
523340343220411112
6520555310000240
742231552023625
oct6072060471340
91434344036116
10420114232032
11152195593660
12695074a6080
13308028a06a1
141649570234c
15addc6cae8c
hex61d0c272e0

420114232032 has 48 divisors (see below), whose sum is σ = 1203054394752. Its totient is φ = 127307342720.

The previous prime is 420114232001. The next prime is 420114232039. The reversal of 420114232032 is 230232411024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 420114231993 and 420114232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420114232039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198916668 + ... + 198918779.

It is an arithmetic number, because the mean of its divisors is an integer number (25063633224).

Almost surely, 2420114232032 is an apocalyptic number.

It is an amenable number.

420114232032 is an abundant number, since it is smaller than the sum of its proper divisors (782940162720).

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

420114232032 is a wasteful number, since it uses less digits than its factorization.

420114232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397835471 (or 397835463 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420114232032 its reverse (230232411024), we get a palindrome (650346643056).

The spelling of 420114232032 in words is "four hundred twenty billion, one hundred fourteen million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 397835447 795670894 1193506341 1591341788 2387012682 3182683576 4376189917 4774025364 6365367152 8752379834 9548050728 12730734304 13128569751 17504759668 19096101456 26257139502 35009519336 38192202912 52514279004 70019038672 105028558008 140038077344 210057116016 420114232032