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3432135445340 = 2257431237460891
BaseRepresentation
bin110001111100011011001…
…101101100101101011100
3110011002221102100102010012
4301330123031230231130
5422213003133222330
611144411245502352
7502651341636110
oct61743315545534
913132842312105
103432135445340
111103618a8a868
124752072719b8
131bb858a81854
14bc18ad79740
155e427480c95
hex31f1b36cb5c

3432135445340 has 96 divisors (see below), whose sum is σ = 8435518232064. Its totient is φ = 1148434640640.

The previous prime is 3432135445327. The next prime is 3432135445357. The reversal of 3432135445340 is 435445312343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7216295 + ... + 7677185.

It is an arithmetic number, because the mean of its divisors is an integer number (87869981584).

Almost surely, 23432135445340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432135445340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217759116032).

3432135445340 is an abundant number, since it is smaller than the sum of its proper divisors (5003382786724).

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

3432135445340 is a wasteful number, since it uses less digits than its factorization.

3432135445340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462187 (or 462185 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 41.

The spelling of 3432135445340 in words is "three trillion, four hundred thirty-two billion, one hundred thirty-five million, four hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1237 1505 2474 3010 4948 6020 6185 8659 12370 17318 24740 34636 43295 53191 86590 106382 173180 212764 265955 372337 460891 531910 744674 921782 1063820 1489348 1843564 1861685 2304455 3226237 3723370 4608910 6452474 7446740 9217820 12904948 16131185 19818313 32262370 39636626 64524740 79273252 99091565 138728191 198183130 277456382 396366260 554912764 570122167 693640955 1140244334 1387281910 2280488668 2774563820 2850610835 3990855169 5701221670 7981710338 11402443340 15963420676 19954275845 24515253181 39908551690 49030506362 79817103380 98061012724 122576265905 171606772267 245152531810 343213544534 490305063620 686427089068 858033861335 1716067722670 3432135445340