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2420131313232 = 243237974426249
BaseRepresentation
bin100011001101111011000…
…100010011011001010000
322120100210010000220002200
4203031323010103121100
5304122412104010412
65051443141043200
7336564052513263
oct43157304233120
98510703026080
102420131313232
11853410040836
123310550b6500
131472a9835779
14851c655acda
1542e46e2e9dc
hex2337b113650

2420131313232 has 60 divisors (see below), whose sum is σ = 6774791692500. Its totient is φ = 806497795584.

The previous prime is 2420131313227. The next prime is 2420131313269. The reversal of 2420131313232 is 2323131310242.

2420131313232 is a `hidden beast` number, since 2 + 4 + 20 + 1 + 313 + 1 + 323 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 596886037056 + 1823245276176 = 772584^2 + 1350276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2420131313196 and 2420131313205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1666357 + ... + 2759892.

It is an arithmetic number, because the mean of its divisors is an integer number (112913194875).

Almost surely, 22420131313232 is an apocalyptic number.

It is an amenable number.

2420131313232 is an abundant number, since it is smaller than the sum of its proper divisors (4354660379268).

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

2420131313232 is a wasteful number, since it uses less digits than its factorization.

2420131313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430060 (or 4430051 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2420131313232 its reverse (2323131310242), we get a palindrome (4743262623474).

The spelling of 2420131313232 in words is "two trillion, four hundred twenty billion, one hundred thirty-one million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3797 7594 11391 15188 22782 30376 34173 45564 60752 68346 91128 136692 182256 273384 546768 4426249 8852498 13278747 17704996 26557494 35409992 39836241 53114988 70819984 79672482 106229976 159344964 212459952 318689928 637379856 16806467453 33612934906 50419402359 67225869812 100838804718 134451739624 151258207077 201677609436 268903479248 302516414154 403355218872 605032828308 806710437744 1210065656616 2420131313232