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34213040000 = 27542914747
BaseRepresentation
bin11111110111010000…
…011000111110000000
310021022100212111202122
4133313100120332000
51030032014240000
623414532103412
72320555020206
oct376720307600
9107270774678
1034213040000
1113567407377
126769a64b68
1332c3188289
141927bb7076
15d53932085
hex7f7418f80

34213040000 has 160 divisors (see below), whose sum is σ = 88114138200. Its totient is φ = 13212416000.

The previous prime is 34213039969. The next prime is 34213040027. The reversal of 34213040000 is 4031243.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2312627 + ... + 2327373.

Almost surely, 234213040000 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 34213040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44057069100).

34213040000 is an abundant number, since it is smaller than the sum of its proper divisors (53901098200).

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

34213040000 is an equidigital number, since it uses as much as digits as its factorization.

34213040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14810 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 34213040000 its reverse (4031243), we get a palindrome (34217071243).

The spelling of 34213040000 in words is "thirty-four billion, two hundred thirteen million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 290 320 400 464 500 580 625 640 725 800 928 1000 1160 1250 1450 1600 1856 2000 2320 2500 2900 3200 3625 3712 4000 4640 5000 5800 7250 8000 9280 10000 11600 14500 14747 16000 18125 18560 20000 23200 29000 29494 36250 40000 46400 58000 58988 72500 73735 80000 92800 116000 117976 145000 147470 232000 235952 290000 294940 368675 427663 464000 471904 580000 589880 737350 855326 943808 1160000 1179760 1474700 1710652 1843375 1887616 2138315 2320000 2359520 2949400 3421304 3686750 4276630 4719040 5898800 6842608 7373500 8553260 9216875 9438080 10691575 11797600 13685216 14747000 17106520 18433750 21383150 23595200 27370432 29494000 34213040 36867500 42766300 47190400 53457875 54740864 58988000 68426080 73735000 85532600 106915750 117976000 136852160 147470000 171065200 213831500 235952000 267289375 273704320 294940000 342130400 427663000 534578750 589880000 684260800 855326000 1069157500 1179760000 1368521600 1710652000 2138315000 3421304000 4276630000 6842608000 8553260000 17106520000 34213040000