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324211133132240 = 245659109112494513
BaseRepresentation
bin100100110110111100100100…
…1011011000010110111010000
31120111221021121022100012021112
41021231321021123002313100
5314443333400040212430
63105312312144112452
7125201324054522444
oct11155711133026720
91514837538305245
10324211133132240
1194338195539362
1230442358605728
1310bb9c951a2153
145a0bc8c91c824
152773720210195
hex126de496c2dd0

324211133132240 has 160 divisors (see below), whose sum is σ = 756399243600000. Its totient is φ = 129236755415040.

The previous prime is 324211133132209. The next prime is 324211133132251. The reversal of 324211133132240 is 42231331112423.

It is a super-2 number, since 2×3242111331322402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 324211133132197 and 324211133132206.

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, 71839380224 + ... + 71839384736.

It is an arithmetic number, because the mean of its divisors is an integer number (4727495272500).

Almost surely, 2324211133132240 is an apocalyptic number.

It is an amenable number.

324211133132240 is an abundant number, since it is smaller than the sum of its proper divisors (432188110467760).

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

324211133132240 is a wasteful number, since it uses less digits than its factorization.

324211133132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 324211133132240 its reverse (42231331112423), we get a palindrome (366442464244663).

The spelling of 324211133132240 in words is "three hundred twenty-four trillion, two hundred eleven billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 659 1091 1249 1318 2182 2498 2636 3295 4364 4513 4996 5272 5455 6245 6590 8728 9026 9992 10544 10910 12490 13180 17456 18052 19984 21820 22565 24980 26360 36104 43640 45130 49960 52720 72208 87280 90260 99920 180520 361040 718969 823091 1362659 1437938 1646182 2725318 2875876 2974067 3292364 3594845 4115455 4923683 5450636 5636737 5751752 5948134 6584728 6813295 7189690 8230910 9847366 10901272 11273474 11503504 11896268 13169456 13626590 14379380 14870335 16461820 19694732 21802544 22546948 23792536 24618415 27253180 28183685 28758760 29740670 32923640 39389464 45093896 47585072 49236830 54506360 56367370 57517520 59481340 65847280 78778928 90187792 98473660 109012720 112734740 118962680 196947320 225469480 237925360 393894640 450938960 897992281 1795984562 3244707097 3591969124 3714609683 4489961405 6149680067 6489414194 7183938248 7429219366 8979922810 12299360134 12978828388 14367876496 14858438732 16223535485 17959845620 18573048415 24598720268 25957656776 29716877464 30748400335 32447070970 35919691240 37146096830 49197440536 51915313552 59433754928 61496800670 64894141940 71839382480 74292193660 98394881072 122993601340 129788283880 148584387320 245987202680 259576567760 297168774640 491974405360 4052639164153 8105278328306 16210556656612 20263195820765 32421113313224 40526391641530 64842226626448 81052783283060 162105566566120 324211133132240