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2141320040 = 235315929269
BaseRepresentation
bin111111110100001…
…1111001101101000
312112020021022212122
41333220133031220
513341134220130
6552251530412
7104030630366
oct17750371550
95466238778
102141320040
119a97a0492
124b9159a08
132818274a2
14164564636
15c7eca2e5
hex7fa1f368

2141320040 has 64 divisors (see below), whose sum is σ = 5057856000. Its totient is φ = 814821120.

The previous prime is 2141320039. The next prime is 2141320057. The reversal of 2141320040 is 400231412.

It is an unprimeable number.

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, 58526 + ... + 87794.

It is an arithmetic number, because the mean of its divisors is an integer number (79029000).

Almost surely, 22141320040 is an apocalyptic number.

2141320040 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 2141320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528928000).

2141320040 is an abundant number, since it is smaller than the sum of its proper divisors (2916535960).

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

2141320040 is a wasteful number, since it uses less digits than its factorization.

2141320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29370 (or 29366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2141320040 is about 46274.3994018291. The cubic root of 2141320040 is about 1288.9236539815.

Adding to 2141320040 its reverse (400231412), we get a palindrome (2541551452).

The spelling of 2141320040 in words is "two billion, one hundred forty-one million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 59 62 118 124 155 236 248 295 310 472 590 620 1180 1240 1829 2360 3658 7316 9145 14632 18290 29269 36580 58538 73160 117076 146345 234152 292690 585380 907339 1170760 1726871 1814678 3453742 3629356 4536695 6907484 7258712 8634355 9073390 13814968 17268710 18146780 34537420 36293560 53533001 69074840 107066002 214132004 267665005 428264008 535330010 1070660020 2141320040