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2420444301000 = 233531173346797
BaseRepresentation
bin100011001110001101101…
…110010000011011001000
322120101120220222022121020
4203032031232100123020
5304124032220113000
65051534201312440
7336604603045125
oct43161556203310
98511526868536
102420444301000
11853560786110
12331121a95720
1314732963002b
1485215d5174c
1542e64656ba0
hex2338db906c8

2420444301000 has 128 divisors (see below), whose sum is σ = 8238312351360. Its totient is φ = 586774368000.

The previous prime is 2420444300969. The next prime is 2420444301047. The reversal of 2420444301000 is 1034440242.

It is a happy number.

It is a super-2 number, since 2×24204443010002 (a number of 26 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 36640399 + ... + 36706398.

It is an arithmetic number, because the mean of its divisors is an integer number (64361815245).

Almost surely, 22420444301000 is an apocalyptic number.

2420444301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420444301000 is an abundant number, since it is smaller than the sum of its proper divisors (5817868050360).

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

2420444301000 is a wasteful number, since it uses less digits than its factorization.

2420444301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73346832 (or 73346818 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2420444301000 its reverse (1034440242), we get a palindrome (2421478741242).

The spelling of 2420444301000 in words is "two trillion, four hundred twenty billion, four hundred forty-four million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 73346797 146693594 220040391 293387188 366733985 440080782 586774376 733467970 806814767 880161564 1100201955 1466935940 1613629534 1760323128 1833669925 2200403910 2420444301 2933871880 3227259068 3667339850 4034073835 4400807820 4840888602 5501009775 6454518136 7334679700 8068147670 8801615640 9168349625 9681777204 11002019550 12102221505 14669359400 16136295340 18336699250 19363554408 20170369175 22004039100 24204443010 27505048875 32272590680 36673398500 40340738350 44008078200 48408886020 55010097750 60511107525 73346797000 80681476700 96817772040 100851845875 110020195500 121022215050 161362953400 201703691750 220040391000 242044430100 302555537625 403407383500 484088860200 605111075250 806814767000 1210222150500 2420444301000