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2424340240000 = 275474329179
BaseRepresentation
bin100011010001110101111…
…100000101011010000000
322120202122102212112012021
4203101311330011122000
5304210022100140000
65053420533011224
7340103261013640
oct43216574053200
98522572775167
102424340240000
1185517a954808
12331a2a783b14
131477ca818693
14854a5538520
15430e16c411a
hex23475f05680

2424340240000 has 160 divisors (see below), whose sum is σ = 6897422743200. Its totient is φ = 831202176000.

The previous prime is 2424340239977. The next prime is 2424340240009. The reversal of 2424340240000 is 420434242.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2424340240009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1604590 + ... + 2724589.

It is an arithmetic number, because the mean of its divisors is an integer number (43108892145).

Almost surely, 22424340240000 is an apocalyptic number.

2424340240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424340240000 is an abundant number, since it is smaller than the sum of its proper divisors (4473082503200).

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

2424340240000 is an frugal number, since it uses more digits than its factorization.

2424340240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329220 (or 4329193 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 2424340240000 its reverse (420434242), we get a palindrome (2424760674242).

The spelling of 2424340240000 in words is "two trillion, four hundred twenty-four billion, three hundred forty million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 40000 56000 70000 80000 112000 140000 280000 560000 4329179 8658358 17316716 21645895 30304253 34633432 43291790 60608506 69266864 86583580 108229475 121217012 138533728 151521265 173167160 216458950 242434024 277067456 303042530 346334320 432917900 484868048 541147375 554134912 606085060 692668640 757606325 865835800 969736096 1082294750 1212170120 1385337280 1515212650 1731671600 1939472192 2164589500 2424340240 2705736875 2770674560 3030425300 3463343200 3788031625 3878944384 4329179000 4848680480 5411473750 6060850600 6926686400 7576063250 8658358000 9697360960 10822947500 12121701200 13853372800 15152126500 17316716000 18940158125 19394721920 21645895000 24243402400 30304253000 34633432000 37880316250 43291790000 48486804800 60608506000 69266864000 75760632500 86583580000 96973609600 121217012000 151521265000 173167160000 242434024000 303042530000 346334320000 484868048000 606085060000 1212170120000 2424340240000