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1420133426640 = 243551929197673
BaseRepresentation
bin10100101010100110100…
…011000110010111010000
312000202121112120211200000
4110222212203012113100
5141231413124123030
63004222243530000
7204413141645625
oct24524643062720
95022545524600
101420133426640
114a8303329765
121ab293989900
13a3bc1b29b86
144ca4050434c
1526e1a984860
hex14aa68c65d0

1420133426640 has 960 divisors, whose sum is σ = 5421140524800. Its totient is φ = 344128684032.

The previous prime is 1420133426629. The next prime is 1420133426651. The reversal of 1420133426640 is 466243310241.

1420133426640 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 1 + 3 + 3 + 4 + 2 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1420133426629) and next prime (1420133426651).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1420133426595 and 1420133426604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2110153344 + ... + 2110154016.

It is an arithmetic number, because the mean of its divisors is an integer number (5647021380).

Almost surely, 21420133426640 is an apocalyptic number.

1420133426640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420133426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710570262400).

1420133426640 is an abundant number, since it is smaller than the sum of its proper divisors (4001007098160).

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

1420133426640 is a wasteful number, since it uses less digits than its factorization.

1420133426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 1420133426640 its reverse (466243310241), we get a palindrome (1886376736881).

It can be divided in two parts, 142013 and 3426640, that added together give a palindrome (3568653).

The spelling of 1420133426640 in words is "one trillion, four hundred twenty billion, one hundred thirty-three million, four hundred twenty-six thousand, six hundred forty".