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355130112240 = 24335503326863
BaseRepresentation
bin1010010101011110110…
…01110111100011110000
31020221122121221220101000
411022233121313203300
521304301302042430
6431051114442000
734441312101501
oct5125731674360
91227577856330
10355130112240
11127678765632
12589b0433300
1327647684ab7
141328cd22ba8
15938760be60
hex52af6778f0

355130112240 has 160 divisors (see below), whose sum is σ = 1225661552640. Its totient is φ = 94512801024.

The previous prime is 355130112221. The next prime is 355130112269. The reversal of 355130112240 is 42211031553.

355130112240 is a `hidden beast` number, since 35 + 513 + 0 + 112 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×3551301122402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 923049 + ... + 1249911.

It is an arithmetic number, because the mean of its divisors is an integer number (7660384704).

Almost surely, 2355130112240 is an apocalyptic number.

355130112240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355130112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612830776320).

355130112240 is an abundant number, since it is smaller than the sum of its proper divisors (870531440400).

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

355130112240 is a wasteful number, since it uses less digits than its factorization.

355130112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327388 (or 327376 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 355130112240 its reverse (42211031553), we get a palindrome (397341143793).

The spelling of 355130112240 in words is "three hundred fifty-five billion, one hundred thirty million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 503 540 720 1006 1080 1509 2012 2160 2515 3018 4024 4527 5030 6036 7545 8048 9054 10060 12072 13581 15090 18108 20120 22635 24144 27162 30180 36216 40240 45270 54324 60360 67905 72432 90540 108648 120720 135810 181080 217296 271620 326863 362160 543240 653726 980589 1086480 1307452 1634315 1961178 2614904 2941767 3268630 3922356 4902945 5229808 5883534 6537260 7844712 8825301 9805890 11767068 13074520 14708835 15689424 17650602 19611780 23534136 26149040 29417670 35301204 39223560 44126505 47068272 58835340 70602408 78447120 88253010 117670680 141204816 164412089 176506020 235341360 328824178 353012040 493236267 657648356 706024080 822060445 986472534 1315296712 1479708801 1644120890 1972945068 2466181335 2630593424 2959417602 3288241780 3945890136 4439126403 4932362670 5918835204 6576483560 7398544005 7891780272 8878252806 9864725340 11837670408 13152967120 14797088010 17756505612 19729450680 22195632015 23675340816 29594176020 35513011224 39458901360 44391264030 59188352040 71026022448 88782528060 118376704080 177565056120 355130112240