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134434443680 = 2551097708397
BaseRepresentation
bin111110100110011101…
…0101101000110100000
3110211222222010022202122
41331030322231012200
54200310204144210
6141431444403412
712466260626405
oct1751472550640
9424888108678
10134434443680
1152016814319
12220799a6568
13c8a58072c4
1467143cc2ac
15376c302b55
hex1f4cead1a0

134434443680 has 48 divisors (see below), whose sum is σ = 320515188840. Its totient is φ = 53280433152.

The previous prime is 134434443541. The next prime is 134434443709. The reversal of 134434443680 is 86344434431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89901626896 + 44532816784 = 299836^2 + 211028^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3836759 + ... + 3871638.

Almost surely, 2134434443680 is an apocalyptic number.

134434443680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134434443680 is an abundant number, since it is smaller than the sum of its proper divisors (186080745160).

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

134434443680 is a wasteful number, since it uses less digits than its factorization.

134434443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708521 (or 7708513 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 134434443680 in words is "one hundred thirty-four billion, four hundred thirty-four million, four hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 872 1090 1744 2180 3488 4360 8720 17440 7708397 15416794 30833588 38541985 61667176 77083970 123334352 154167940 246668704 308335880 616671760 840215273 1233343520 1680430546 3360861092 4201076365 6721722184 8402152730 13443444368 16804305460 26886888736 33608610920 67217221840 134434443680