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104302214400 = 283525432407
BaseRepresentation
bin110000100100011100…
…1010111110100000000
3100222020000000110220210
41201020321113310000
53202102331330100
6115525450234120
710351464123426
oct1411071276400
9328200013823
10104302214400
114026397649a
121826a725940
139ab2c25b37
1450965a3116
152aa6ca9c50
hex1848e57d00

104302214400 has 108 divisors (see below), whose sum is σ = 344219100512. Its totient is φ = 27813918720.

The previous prime is 104302214381. The next prime is 104302214413. The reversal of 104302214400 is 4412203401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2697004 + ... + 2735403.

Almost surely, 2104302214400 is an apocalyptic number.

104302214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104302214400 is an abundant number, since it is smaller than the sum of its proper divisors (239916886112).

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

104302214400 is an equidigital number, since it uses as much as digits as its factorization.

104302214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5432436 (or 5432417 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 104302214400 its reverse (4412203401), we get a palindrome (108714417801).

The spelling of 104302214400 in words is "one hundred four billion, three hundred two million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 5432407 10864814 16297221 21729628 27162035 32594442 43459256 54324070 65188884 81486105 86918512 108648140 130377768 135810175 162972210 173837024 217296280 260755536 271620350 325944420 347674048 407430525 434592560 521511072 543240700 651888840 695348096 814861050 869185120 1043022144 1086481400 1303777680 1390696192 1629722100 1738370240 2086044288 2172962800 2607555360 3259444200 3476740480 4172088576 4345925600 5215110720 6518888400 6953480960 8691851200 10430221440 13037776800 17383702400 20860442880 26075553600 34767404800 52151107200 104302214400