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2420422414120 = 235401369140883
BaseRepresentation
bin100011001110001100011…
…010110000111100101000
322120101112101210100110001
4203032030122300330220
5304124011114222440
65051532100232344
7336604216030024
oct43161432607450
98511471710401
102420422414120
1185354a397187
1233111669b6b4
13147324c38b09
1485213095384
1542e62781b9a
hex2338c6b0f28

2420422414120 has 64 divisors (see below), whose sum is σ = 5461144079040. Its totient is φ = 965469312000.

The previous prime is 2420422414103. The next prime is 2420422414129. The reversal of 2420422414120 is 214142240242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2420422414129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59183199 + ... + 59224081.

It is an arithmetic number, because the mean of its divisors is an integer number (85330376235).

Almost surely, 22420422414120 is an apocalyptic number.

2420422414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420422414120 is an abundant number, since it is smaller than the sum of its proper divisors (3040721664920).

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

2420422414120 is a wasteful number, since it uses less digits than its factorization.

2420422414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44986 (or 44982 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2420422414120 its reverse (214142240242), we get a palindrome (2634564654362).

The spelling of 2420422414120 in words is "two trillion, four hundred twenty billion, four hundred twenty-two million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 401 802 1604 2005 3208 3691 4010 7382 8020 14764 16040 18455 29528 36910 40883 73820 81766 147640 163532 204415 327064 408830 817660 1480091 1635320 2960182 5920364 7400455 11840728 14800910 16394083 29601820 32788166 59203640 65576332 81970415 131152664 150899153 163940830 301798306 327881660 603596612 655763320 754495765 1207193224 1508991530 3017983060 6035966120 60510560353 121021120706 242042241412 302552801765 484084482824 605105603530 1210211207060 2420422414120