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1414374434000 = 24531164289747
BaseRepresentation
bin10100100101001111010…
…010010010010011010000
312000012202012000200221022
4110211033102102103100
5141133114323342000
63001431000415012
7204120342216623
oct24451722222320
95005665020838
101414374434000
114a591854a310
121aa147177468
13a34b4975618
144c65570ddba
1526bd00a6585
hex1494f4924d0

1414374434000 has 80 divisors (see below), whose sum is σ = 3730862655936. Its totient is φ = 514317968000.

The previous prime is 1414374433987. The next prime is 1414374434063. The reversal of 1414374434000 is 4344734141.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32122874 + ... + 32166873.

Almost surely, 21414374434000 is an apocalyptic number.

1414374434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414374434000 is an abundant number, since it is smaller than the sum of its proper divisors (2316488221936).

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

1414374434000 is a wasteful number, since it uses less digits than its factorization.

1414374434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64289781 (or 64289765 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 1414374434000 in words is "one trillion, four hundred fourteen billion, three hundred seventy-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 64289747 128579494 257158988 321448735 514317976 642897470 707187217 1028635952 1285794940 1414374434 1607243675 2571589880 2828748868 3214487350 3535936085 5143179760 5657497736 6428974700 7071872170 8036218375 11314995472 12857949400 14143744340 16072436750 17679680425 25715898800 28287488680 32144873500 35359360850 56574977360 64289747000 70718721700 88398402125 128579494000 141437443400 176796804250 282874886800 353593608500 707187217000 1414374434000