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4102441414320 = 243529327582859
BaseRepresentation
bin111011101100101100100…
…100000010111010110000
3112112012010012021202000110
4323230230210002322300
51014203300000224240
612420345141021320
7602251215443454
oct73545444027260
915465105252013
104102441414320
111341921256457
125630b73b4840
13239b21364322
141027b8720664
1571aa96ebc80
hex3bb2c902eb0

4102441414320 has 80 divisors (see below), whose sum is σ = 12718023851520. Its totient is φ = 1093945197312.

The previous prime is 4102441414319. The next prime is 4102441414339. The reversal of 4102441414320 is 234141442014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6747051 + ... + 7329909.

It is an arithmetic number, because the mean of its divisors is an integer number (158975298144).

Almost surely, 24102441414320 is an apocalyptic number.

4102441414320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102441414320 is an abundant number, since it is smaller than the sum of its proper divisors (8615582437200).

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

4102441414320 is a wasteful number, since it uses less digits than its factorization.

4102441414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612202 (or 612196 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4102441414320 its reverse (234141442014), we get a palindrome (4336582856334).

The spelling of 4102441414320 in words is "four trillion, one hundred two billion, four hundred forty-one million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 29327 58654 87981 117308 146635 175962 234616 293270 351924 439905 469232 582859 586540 703848 879810 1165718 1173080 1407696 1748577 1759620 2331436 2346160 2914295 3497154 3519240 4662872 5828590 6994308 7038480 8742885 9325744 11657180 13988616 17485770 23314360 27977232 34971540 46628720 69943080 139886160 17093505893 34187011786 51280517679 68374023572 85467529465 102561035358 136748047144 170935058930 205122070716 256402588395 273496094288 341870117860 410244141432 512805176790 683740235720 820488282864 1025610353580 1367480471440 2051220707160 4102441414320