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2141004000 = 25353178417
BaseRepresentation
bin111111110011101…
…0010000011100000
312112012200021100110
41333213102003200
513341044112000
6552241051320
7104025143112
oct17747220340
95465607313
102141004000
119a95a4aa3
124b9026b40
13281746695
141644c13b2
15c7e66850
hex7f9d20e0

2141004000 has 96 divisors (see below), whose sum is σ = 7013968416. Its totient is φ = 570931200.

The previous prime is 2141003993. The next prime is 2141004017. The reversal of 2141004000 is 4001412.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 77209 + ... + 101208.

It is an arithmetic number, because the mean of its divisors is an integer number (73062171).

Almost surely, 22141004000 is an apocalyptic number.

2141004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141004000 is an abundant number, since it is smaller than the sum of its proper divisors (4872964416).

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

2141004000 is a wasteful number, since it uses less digits than its factorization.

2141004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178445 (or 178427 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2141004000 is about 46270.9844286892. The cubic root of 2141004000 is about 1288.8602395975.

Adding to 2141004000 its reverse (4001412), we get a palindrome (2145005412).

The spelling of 2141004000 in words is "two billion, one hundred forty-one million, four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 178417 356834 535251 713668 892085 1070502 1427336 1784170 2141004 2676255 2854672 3568340 4282008 4460425 5352510 5709344 7136680 8564016 8920850 10705020 13381275 14273360 17128032 17841700 21410040 22302125 26762550 28546720 35683400 42820080 44604250 53525100 66906375 71366800 85640160 89208500 107050200 133812750 142733600 178417000 214100400 267625500 356834000 428200800 535251000 713668000 1070502000 2141004000