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2420632316144 = 247313019230933
BaseRepresentation
bin100011001110011000111…
…011011110100011110000
322120102002000202110220002
4203032120323132203300
5304124423333104034
65052004555205132
7336612345125210
oct43163073364360
98512060673802
102420632316144
11853647922729
12331174a467a8
1314735957c1b3
1485232cd4240
1542e75de4e7e
hex23398ede8f0

2420632316144 has 80 divisors (see below), whose sum is σ = 5534730516480. Its totient is φ = 1003611997440.

The previous prime is 2420632316119. The next prime is 2420632316173. The reversal of 2420632316144 is 4416132360242.

It is a junction number, because it is equal to n+sod(n) for n = 2420632316098 and 2420632316107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10366502 + ... + 10597434.

It is an arithmetic number, because the mean of its divisors is an integer number (69184131456).

Almost surely, 22420632316144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420632316144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767365258240).

2420632316144 is an abundant number, since it is smaller than the sum of its proper divisors (3114098200336).

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

2420632316144 is a wasteful number, since it uses less digits than its factorization.

2420632316144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233998 (or 233992 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

Adding to 2420632316144 its reverse (4416132360242), we get a palindrome (6836764676386).

The spelling of 2420632316144 in words is "two trillion, four hundred twenty billion, six hundred thirty-two million, three hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3019 3472 6038 12076 21133 24152 42266 48304 84532 93589 169064 187178 230933 338128 374356 461866 655123 748712 923732 1310246 1497424 1616531 1847464 2620492 3233062 3694928 5240984 6466124 7158923 10481968 12932248 14317846 25864496 28635692 50112461 57271384 100224922 114542768 200449844 400899688 697186727 801799376 1394373454 2788746908 4880307089 5577493816 9760614178 11154987632 19521228356 21612788537 39042456712 43225577074 78084913424 86451154148 151289519759 172902308296 302579039518 345804616592 605158079036 1210316158072 2420632316144