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14334131000 = 235372047733
BaseRepresentation
bin11010101100110000…
…10111101100111000
31100222222012022010202
431112120113230320
5213324014143000
610330210101332
71015133050250
oct152630275470
940888168122
1014334131000
116096274862
12294057a848
1314758ca027
1499da12960
1558d634dd5
hex356617b38

14334131000 has 64 divisors (see below), whose sum is σ = 38333580480. Its totient is φ = 4914556800.

The previous prime is 14334130997. The next prime is 14334131003. The reversal of 14334131000 is 13143341.

It is an interprime number because it is at equal distance from previous prime (14334130997) and next prime (14334131003).

It is a super-2 number, since 2×143341310002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14334131003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016867 + ... + 1030866.

It is an arithmetic number, because the mean of its divisors is an integer number (598962195).

Almost surely, 214334131000 is an apocalyptic number.

14334131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14334131000 is an abundant number, since it is smaller than the sum of its proper divisors (23999449480).

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

14334131000 is a wasteful number, since it uses less digits than its factorization.

14334131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047761 (or 2047747 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14334131000 its reverse (13143341), we get a palindrome (14347274341).

The spelling of 14334131000 in words is "fourteen billion, three hundred thirty-four million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 2047733 4095466 8190932 10238665 14334131 16381864 20477330 28668262 40954660 51193325 57336524 71670655 81909320 102386650 114673048 143341310 204773300 255966625 286682620 358353275 409546600 511933250 573365240 716706550 1023866500 1433413100 1791766375 2047733000 2866826200 3583532750 7167065500 14334131000