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30241968240 = 24351123934787
BaseRepresentation
bin11100001010100011…
…111101000001110000
32220001121121011101210
4130022203331001300
5443413420440430
621520514200120
72120265326421
oct341243750160
986047534353
1030241968240
1111909891390
125a3bb83040
132b0c554a83
14166c633648
15bbeec32b0
hex70a8fd070

30241968240 has 160 divisors (see below), whose sum is σ = 102336950016. Its totient is φ = 7326791680.

The previous prime is 30241968227. The next prime is 30241968257. The reversal of 30241968240 is 4286914203.

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, 6315127 + ... + 6319913.

Almost surely, 230241968240 is an apocalyptic number.

30241968240 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 30241968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51168475008).

30241968240 is an abundant number, since it is smaller than the sum of its proper divisors (72094981776).

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

30241968240 is a wasteful number, since it uses less digits than its factorization.

30241968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 30241968240 in words is "thirty billion, two hundred forty-one million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2393 2640 4786 4787 7179 9572 9574 11965 14358 14361 19144 19148 23930 23935 26323 28716 28722 35895 38288 38296 47860 47870 52646 52657 57432 57444 71790 71805 76592 78969 95720 95740 105292 105314 114864 114888 131615 143580 143610 157938 157971 191440 191480 210584 210628 229776 263230 263285 287160 287220 315876 315942 382960 394845 421168 421256 526460 526570 574320 574440 631752 631884 789690 789855 842512 1052920 1053140 1148880 1263504 1263768 1579380 1579710 2105840 2106280 2527536 3158760 3159420 4212560 6317520 6318840 11455291 12637680 22910582 34365873 45821164 57276455 68731746 91642328 114552910 126008201 137463492 171829365 183284656 229105820 252016402 274926984 343658730 378024603 458211640 504032804 549853968 630041005 687317460 756049206 916423280 1008065608 1260082010 1374634920 1512098412 1890123015 2016131216 2520164020 2749269840 3024196824 3780246030 5040328040 6048393648 7560492060 10080656080 15120984120 30241968240