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2141040104 = 237230717791
BaseRepresentation
bin111111110011101…
…1010110111101000
312112012202002212122
41333213122313220
513341101240404
6552241530412
7104025353300
oct17747326750
95465662778
102141040104
119a961a135
124b9043a08
13281759c48
141644d0600
15c7e723be
hex7f9dade8

2141040104 has 48 divisors (see below), whose sum is σ = 4685345280. Its totient is φ = 914548320.

The previous prime is 2141040103. The next prime is 2141040119. The reversal of 2141040104 is 4010401412.

It is not an unprimeable number, because it can be changed into a prime (2141040103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111449 + ... + 129239.

It is an arithmetic number, because the mean of its divisors is an integer number (97611360).

Almost surely, 22141040104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141040104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342672640).

2141040104 is an abundant number, since it is smaller than the sum of its proper divisors (2544305176).

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

2141040104 is a wasteful number, since it uses less digits than its factorization.

2141040104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18118 (or 18107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2141040104 is about 46271.3745635463. The cubic root of 2141040104 is about 1288.8674842902.

Adding to 2141040104 its reverse (4010401412), we get a palindrome (6151441516).

The spelling of 2141040104 in words is "two billion, one hundred forty-one million, forty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 307 392 614 1228 2149 2456 4298 8596 15043 17192 17791 30086 35582 60172 71164 120344 124537 142328 249074 498148 871759 996296 1743518 3487036 5461837 6974072 10923674 21847348 38232859 43694696 76465718 152931436 267630013 305862872 535260026 1070520052 2141040104