Search a number
-
+
3450130253280 = 253252395923787
BaseRepresentation
bin110010001101001011110…
…010011100010111100000
3110012211101111202100222100
4302031023302130113200
5423011331321101110
611200545025010400
7504156305165034
oct62151362342740
913184344670870
103450130253280
111110212646367
124787a9783a00
131c0465bb4ab9
14bcdb6c141c4
155eb2c160bc0
hex3234bc9c5e0

3450130253280 has 72 divisors (see below), whose sum is σ = 11773569494232. Its totient is φ = 920034733824.

The previous prime is 3450130253261. The next prime is 3450130253281. The reversal of 3450130253280 is 823520310543.

3450130253280 is a `hidden beast` number, since 3 + 45 + 0 + 1 + 3 + 0 + 2 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3450130253281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1197960454 + ... + 1197963333.

It is an arithmetic number, because the mean of its divisors is an integer number (163521798531).

Almost surely, 23450130253280 is an apocalyptic number.

3450130253280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3450130253280 is an abundant number, since it is smaller than the sum of its proper divisors (8323439240952).

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

3450130253280 is a wasteful number, since it uses less digits than its factorization.

3450130253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395923808 (or 2395923797 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3450130253280 in words is "three trillion, four hundred fifty billion, one hundred thirty million, two hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2395923787 4791847574 7187771361 9583695148 11979618935 14375542722 19167390296 21563314083 23959237870 28751085444 35938856805 38334780592 43126628166 47918475740 57502170888 71877713610 76669561184 86253256332 95836951480 107816570415 115004341776 143755427220 172506512664 191673902960 215633140830 230008683552 287510854440 345013025328 383347805920 431266281660 575021708880 690026050656 862532563320 1150043417760 1725065126640 3450130253280