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130434423400 = 23524117599043
BaseRepresentation
bin111100101111001111…
…1110101101001101000
3110110200012101020111101
41321132133311221220
54114112203022100
6135530514211144
712265200206611
oct1713637655150
9413605336441
10130434423400
1150353916936
1221342283ab4
13c3b8ba95b8
146455070c08
1535d607686a
hex1e5e7f5a68

130434423400 has 96 divisors (see below), whose sum is σ = 310867603200. Its totient is φ = 50866675200.

The previous prime is 130434423367. The next prime is 130434423403. The reversal of 130434423400 is 4324434031.

It is not an unprimeable number, because it can be changed into a prime (130434423403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14419279 + ... + 14428321.

It is an arithmetic number, because the mean of its divisors is an integer number (3238204200).

Almost surely, 2130434423400 is an apocalyptic number.

130434423400 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 130434423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155433801600).

130434423400 is an abundant number, since it is smaller than the sum of its proper divisors (180433179800).

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

130434423400 is a wasteful number, since it uses less digits than its factorization.

130434423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859 (or 10850 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 130434423400 its reverse (4324434031), we get a palindrome (134758857431).

The spelling of 130434423400 in words is "one hundred thirty billion, four hundred thirty-four million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 1759 2050 3518 4100 7036 8200 8795 9043 14072 17590 18086 35180 36172 43975 45215 70360 72119 72344 87950 90430 144238 175900 180860 226075 288476 351800 360595 361720 370763 452150 576952 721190 741526 904300 1442380 1483052 1802975 1808600 1853815 2884760 2966104 3605950 3707630 7211900 7415260 9269075 14423800 14830520 15906637 18538150 31813274 37076300 63626548 74152600 79533185 127253096 159066370 318132740 397665925 636265480 652172117 795331850 1304344234 1590663700 2608688468 3181327400 3260860585 5217376936 6521721170 13043442340 16304302925 26086884680 32608605850 65217211700 130434423400