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30010293411280 = 2457139194485629
BaseRepresentation
bin1101101001011010100001…
…11000001101110111010000
310221020221210221120020012221
412310231100320031313100
512413142040103130110
6143454312150430424
76215113022056510
oct664552070156720
9127227727506187
1030010293411280
11962032629a326
123448242662414
131398c5cb5b560
1475a712489840
153709837e37da
hex1b4b50e0ddd0

30010293411280 has 160 divisors (see below), whose sum is σ = 85969072627200. Its totient is φ = 9487426185216.

The previous prime is 30010293411257. The next prime is 30010293411383. The reversal of 30010293411280 is 8211439201003.

It is a happy number.

It is a super-4 number, since 4×300102934112804 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 4447506 + ... + 8933134.

It is an arithmetic number, because the mean of its divisors is an integer number (537306703920).

Almost surely, 230010293411280 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 30010293411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42984536313600).

30010293411280 is an abundant number, since it is smaller than the sum of its proper divisors (55958779215920).

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

30010293411280 is a wasteful number, since it uses less digits than its factorization.

30010293411280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486581 (or 4486575 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 30010293411280 in words is "thirty trillion, ten billion, two hundred ninety-three million, four hundred eleven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 919 1040 1456 1820 1838 3640 3676 4595 6433 7280 7352 9190 11947 12866 14704 18380 23894 25732 32165 36760 47788 51464 59735 64330 73520 83629 95576 102928 119470 128660 167258 191152 238940 257320 334516 418145 477880 514640 669032 836290 955760 1338064 1672580 3345160 4485629 6690320 8971258 17942516 22428145 31399403 35885032 44856290 58313177 62798806 71770064 89712580 116626354 125597612 156997015 179425160 233252708 251195224 291565885 313994030 358850320 408192239 466505416 502390448 583131770 627988060 816384478 933010832 1166263540 1255976120 1632768956 2040961195 2332527080 2511952240 3265537912 4081922390 4122293051 4665054160 6531075824 8163844780 8244586102 16327689560 16489172204 20611465255 28856051357 32655379120 32978344408 41222930510 53589809663 57712102714 65956688816 82445861020 107179619326 115424205428 144280256785 164891722040 214359238652 230848410856 267949048315 288560513570 329783444080 375128667641 428718477304 461696821712 535898096630 577121027140 750257335282 857436954608 1071796193260 1154242054280 1500514670564 1875643338205 2143592386520 2308484108560 3001029341128 3751286676410 4287184773040 6002058682256 7502573352820 15005146705640 30010293411280