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30334202343440 = 24529311632587589
BaseRepresentation
bin1101110010110101110110…
…10110101111000000010000
310222101220212201100212001222
412321122323112233000100
512433443421244442230
6144303201251144212
76250400545421552
oct671327326570020
9128356781325058
1030334202343440
119735732459196
12349ab7aba5068
1313c067014c4a8
1476c27cabd4d2
153790deea56e5
hex1b96bb5af010

30334202343440 has 160 divisors (see below), whose sum is σ = 75774571545600. Its totient is φ = 11267807201280.

The previous prime is 30334202343397. The next prime is 30334202343481. The reversal of 30334202343440 is 4434320243303.

It is a super-2 number, since 2×303342023434402 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30334202343440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10429166 + ... + 13016754.

It is an arithmetic number, because the mean of its divisors is an integer number (473591072160).

Almost surely, 230334202343440 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 30334202343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37887285772800).

30334202343440 is an abundant number, since it is smaller than the sum of its proper divisors (45440369202160).

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

30334202343440 is a wasteful number, since it uses less digits than its factorization.

30334202343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587825 (or 2587819 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 30334202343440 its reverse (4434320243303), we get a palindrome (34768522586743).

The spelling of 30334202343440 in words is "thirty trillion, three hundred thirty-four billion, two hundred two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 155 163 232 248 290 310 326 464 496 580 620 652 815 899 1160 1240 1304 1630 1798 2320 2480 2608 3260 3596 4495 4727 5053 6520 7192 8990 9454 10106 13040 14384 17980 18908 20212 23635 25265 35960 37816 40424 47270 50530 71920 75632 80848 94540 101060 146537 189080 202120 293074 378160 404240 586148 732685 1172296 1465370 2344592 2587589 2930740 5175178 5861480 10350356 11722960 12937945 20700712 25875890 41401424 51751780 75040081 80215259 103503560 150080162 160430518 207007120 300160324 320861036 375200405 401076295 421777007 600320648 641722072 750400810 802152590 843554014 1200641296 1283444144 1500801620 1604305180 1687108028 2108885035 2326242511 3001603240 3208610360 3374216056 4217770070 4652485022 6003206480 6417220720 6748432112 8435540140 9304970044 11631212555 12231533203 13075087217 16871080280 18609940088 23262425110 24463066406 26150174434 33742160560 37219880176 46524850220 48926132812 52300348868 61157666015 65375436085 93049700440 97852265624 104600697736 122315332030 130750872170 186099400880 195704531248 209201395472 244630664060 261501744340 379177529293 489261328120 523003488680 758355058586 978522656240 1046006977360 1516710117172 1895887646465 3033420234344 3791775292930 6066840468688 7583550585860 15167101171720 30334202343440