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1411234000 = 245311232789
BaseRepresentation
bin101010000011101…
…1011100011010000
310122100111010002221
41110013123203100
510342233442000
6352011350424
746654201561
oct12407334320
93570433087
101411234000
11664671aa0
12334752414
131964b2c07
14d55d8168
1583d6361a
hex541db8d0

1411234000 has 160 divisors (see below), whose sum is σ = 3885822720. Its totient is φ = 490688000.

The previous prime is 1411233973. The next prime is 1411234007. The reversal of 1411234000 is 4321141.

1411234000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1411234007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504606 + ... + 507394.

It is an arithmetic number, because the mean of its divisors is an integer number (24286392).

Almost surely, 21411234000 is an apocalyptic number.

1411234000 is a gapful number since it is divisible by the number (10) 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 1411234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942911360).

1411234000 is an abundant number, since it is smaller than the sum of its proper divisors (2474588720).

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

1411234000 is a wasteful number, since it uses less digits than its factorization.

1411234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1411234000 is about 37566.3945568376. The cubic root of 1411234000 is about 1121.6732006426.

Adding to 1411234000 its reverse (4321141), we get a palindrome (1415555141).

The spelling of 1411234000 in words is "one billion, four hundred eleven million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2789 2875 4048 4400 4600 5060 5500 5578 5750 6325 9200 10120 11000 11156 11500 12650 13945 20240 22000 22312 23000 25300 27890 30679 31625 44624 46000 50600 55780 61358 63250 64147 69725 101200 111560 122716 126500 128294 139450 153395 223120 245432 253000 256588 278900 306790 320735 348625 490864 506000 513176 557800 613580 641470 697250 705617 766975 1026352 1115600 1227160 1282940 1394500 1411234 1533950 1603675 2454320 2565880 2789000 2822468 3067900 3207350 3528085 3834875 5131760 5578000 5644936 6135800 6414700 7056170 7669750 8018375 11289872 12271600 12829400 14112340 15339500 16036750 17640425 25658800 28224680 30679000 32073500 35280850 56449360 61358000 64147000 70561700 88202125 128294000 141123400 176404250 282246800 352808500 705617000 1411234000