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2141014140 = 223353964841
BaseRepresentation
bin111111110011101…
…0100100001111100
312112012200210021000
41333213110201330
513341044423030
6552241210300
7104025214506
oct17747244174
95465623230
102141014140
119a9601681
124b9030990
1328174b195
141644c4d76
15c7e69860
hex7f9d487c

2141014140 has 48 divisors (see below), whose sum is σ = 6660934560. Its totient is φ = 570936960.

The previous prime is 2141014123. The next prime is 2141014147. The reversal of 2141014140 is 414101412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141014147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1981881 + ... + 1982960.

It is an arithmetic number, because the mean of its divisors is an integer number (138769470).

Almost surely, 22141014140 is an apocalyptic number.

2141014140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141014140 is an abundant number, since it is smaller than the sum of its proper divisors (4519920420).

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

2141014140 is a wasteful number, since it uses less digits than its factorization.

2141014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964859 (or 3964851 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2141014140 is about 46271.0940004664. The cubic root of 2141014140 is about 1288.8622743161.

Adding to 2141014140 its reverse (414101412), we get a palindrome (2555115552).

The spelling of 2141014140 in words is "two billion, one hundred forty-one million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3964841 7929682 11894523 15859364 19824205 23789046 35683569 39648410 47578092 59472615 71367138 79296820 107050707 118945230 142734276 178417845 214101414 237890460 356835690 428202828 535253535 713671380 1070507070 2141014140