Search a number
-
+
234411140000 = 255499111827
BaseRepresentation
bin1101101001001111111…
…1100010001110100000
3211102001111220201101002
43122103333202032200
512320033222440000
6255404220131132
722635632546222
oct3322377421640
9742044821332
10234411140000
119045aa82a84
123951b996aa8
131914954798b
14b4ba304412
15616e4878d5
hex3693fe23a0

234411140000 has 120 divisors (see below), whose sum is σ = 577317299328. Its totient is φ = 93661920000.

The previous prime is 234411139993. The next prime is 234411140021. The reversal of 234411140000 is 41114432.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19814087 + ... + 19825913.

Almost surely, 2234411140000 is an apocalyptic number.

234411140000 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 234411140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288658649664).

234411140000 is an abundant number, since it is smaller than the sum of its proper divisors (342906159328).

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

234411140000 is an equidigital number, since it uses as much as digits as its factorization.

234411140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12848 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 234411140000 its reverse (41114432), we get a palindrome (234452254432).

The spelling of 234411140000 in words is "two hundred thirty-four billion, four hundred eleven million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 991 1000 1250 1982 2000 2500 3964 4000 4955 5000 7928 9910 10000 11827 15856 19820 20000 23654 24775 31712 39640 47308 49550 59135 79280 94616 99100 118270 123875 158560 189232 198200 236540 247750 295675 378464 396400 473080 495500 591350 619375 792800 946160 991000 1182700 1238750 1478375 1892320 1982000 2365400 2477500 2956750 3964000 4730800 4955000 5913500 7391875 9461600 9910000 11720557 11827000 14783750 19820000 23441114 23654000 29567500 46882228 47308000 58602785 59135000 93764456 117205570 118270000 187528912 234411140 236540000 293013925 375057824 468822280 586027850 937644560 1172055700 1465069625 1875289120 2344111400 2930139250 4688222800 5860278500 7325348125 9376445600 11720557000 14650696250 23441114000 29301392500 46882228000 58602785000 117205570000 234411140000