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2141240000 = 2654199269
BaseRepresentation
bin111111110100000…
…1011101011000000
312112020010021002012
41333220023223000
513341124140000
6552250112052
7104030145134
oct17750135300
95466107065
102141240000
119a9746339
124b911b628
132817c9c23
141645433c4
15c7eb1735
hex7fa0bac0

2141240000 has 140 divisors (see below), whose sum is σ = 5356098000. Its totient is φ = 849024000.

The previous prime is 2141239921. The next prime is 2141240021. The reversal of 2141240000 is 421412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7959866 + ... + 7960134.

Almost surely, 22141240000 is an apocalyptic number.

2141240000 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 2141240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678049000).

2141240000 is an abundant number, since it is smaller than the sum of its proper divisors (3214858000).

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

2141240000 is an equidigital number, since it uses as much as digits as its factorization.

2141240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2141240000 is about 46273.5345527009. The cubic root of 2141240000 is about 1288.9075943029.

Adding to 2141240000 its reverse (421412), we get a palindrome (2141661412).

The spelling of 2141240000 in words is "two billion, one hundred forty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 199 200 250 269 320 398 400 500 538 625 796 800 995 1000 1076 1250 1345 1592 1600 1990 2000 2152 2500 2690 3184 3980 4000 4304 4975 5000 5380 6368 6725 7960 8000 8608 9950 10000 10760 12736 13450 15920 17216 19900 20000 21520 24875 26900 31840 33625 39800 40000 43040 49750 53531 53800 63680 67250 79600 86080 99500 107062 107600 124375 134500 159200 168125 199000 214124 215200 248750 267655 269000 318400 336250 398000 428248 430400 497500 535310 538000 672500 796000 856496 995000 1070620 1076000 1338275 1345000 1592000 1712992 1990000 2141240 2152000 2676550 2690000 3425984 3980000 4282480 5353100 5380000 6691375 7960000 8564960 10706200 10760000 13382750 17129920 21412400 26765500 33456875 42824800 53531000 66913750 85649600 107062000 133827500 214124000 267655000 428248000 535310000 1070620000 2141240000