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2141104240 = 2451110722739
BaseRepresentation
bin111111110011110…
…1010100001110000
312112012212100212001
41333213222201300
513341110313430
6552243143344
7104026041262
oct17747524160
95465770761
102141104240
119a9663340
124b9074b54
132817801b2
14164509b32
15c7e863ca
hex7f9ea870

2141104240 has 80 divisors (see below), whose sum is σ = 5481613440. Its totient is φ = 771272960.

The previous prime is 2141104237. The next prime is 2141104241. The reversal of 2141104240 is 424011412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141104241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82791 + ... + 105529.

It is an arithmetic number, because the mean of its divisors is an integer number (68520168).

Almost surely, 22141104240 is an apocalyptic number.

2141104240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740806720).

2141104240 is an abundant number, since it is smaller than the sum of its proper divisors (3340509200).

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

2141104240 is a wasteful number, since it uses less digits than its factorization.

2141104240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22870 (or 22864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2141104240 is about 46272.0676002272. The cubic root of 2141104240 is about 1288.8803537331.

Adding to 2141104240 its reverse (424011412), we get a palindrome (2565115652).

The spelling of 2141104240 in words is "two billion, one hundred forty-one million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 107 110 176 214 220 428 440 535 856 880 1070 1177 1712 2140 2354 4280 4708 5885 8560 9416 11770 18832 22739 23540 45478 47080 90956 94160 113695 181912 227390 250129 363824 454780 500258 909560 1000516 1250645 1819120 2001032 2433073 2501290 4002064 4866146 5002580 9732292 10005160 12165365 19464584 20010320 24330730 26763803 38929168 48661460 53527606 97322920 107055212 133819015 194645840 214110424 267638030 428220848 535276060 1070552120 2141104240