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20341402400 = 25521123100501
BaseRepresentation
bin10010111100011100…
…010010101100100000
31221111121221022022002
4102330130102230200
5313124344334100
613202242503132
71320036032114
oct227434225440
957447838262
1020341402400
118699211770
123b38364aa8
131bc23406a7
14dad795744
157e0c072d5
hex4bc712b20

20341402400 has 144 divisors (see below), whose sum is σ = 56528756928. Its totient is φ = 7075200000.

The previous prime is 20341402397. The next prime is 20341402429. The reversal of 20341402400 is 420414302.

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 23 ways as a sum of consecutive naturals, for example, 152150 + ... + 252650.

It is an arithmetic number, because the mean of its divisors is an integer number (392560812).

Almost surely, 220341402400 is an apocalyptic number.

20341402400 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 20341402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28264378464).

20341402400 is an abundant number, since it is smaller than the sum of its proper divisors (36187354528).

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

20341402400 is a wasteful number, since it uses less digits than its factorization.

20341402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100555 (or 100542 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20341402400 its reverse (420414302), we get a palindrome (20761816702).

The spelling of 20341402400 in words is "twenty billion, three hundred forty-one million, four hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 80 88 92 100 110 115 160 176 184 200 220 230 253 275 352 368 400 440 460 506 550 575 736 800 880 920 1012 1100 1150 1265 1760 1840 2024 2200 2300 2530 3680 4048 4400 4600 5060 6325 8096 8800 9200 10120 12650 18400 20240 25300 40480 50600 100501 101200 201002 202400 402004 502505 804008 1005010 1105511 1608016 2010020 2211022 2311523 2512525 3216032 4020040 4422044 4623046 5025050 5527555 8040080 8844088 9246092 10050100 11055110 11557615 16080160 17688176 18492184 20100200 22110220 23115230 25426753 27637775 35376352 36984368 40200400 44220440 46230460 50853506 55275550 57788075 73968736 80400800 88440880 92460920 101707012 110551100 115576150 127133765 176881760 184921840 203414024 221102200 231152300 254267530 369843680 406828048 442204400 462304600 508535060 635668825 813656096 884408800 924609200 1017070120 1271337650 1849218400 2034140240 2542675300 4068280480 5085350600 10170701200 20341402400