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104330211204440 = 235131734333437827
BaseRepresentation
bin10111101110001101000101…
…001011011001110101011000
3111200101212111210122110100202
4113232031011023121311120
5102133321233032020230
61005520345400521332
730655415615111204
oct2756150513316530
9450355453573322
10104330211204440
11302742153840a1
12b84ba88780248
13462a3b1b134c0
141ba9875799b04
15c0dd05381a45
hex5ee3452d9d58

104330211204440 has 128 divisors (see below), whose sum is σ = 267748770663360. Its totient is φ = 36245357051904.

The previous prime is 104330211204301. The next prime is 104330211204517. The reversal of 104330211204440 is 44402112033401.

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, 28628807 + ... + 32066633.

Almost surely, 2104330211204440 is an apocalyptic number.

104330211204440 is a gapful number since it is divisible by the number (10) 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 104330211204440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133874385331680).

104330211204440 is an abundant number, since it is smaller than the sum of its proper divisors (163418559458920).

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

104330211204440 is a wasteful number, since it uses less digits than its factorization.

104330211204440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441301 (or 3441297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 104330211204440 its reverse (44402112033401), we get a palindrome (148732323237841).

The spelling of 104330211204440 in words is "one hundred four trillion, three hundred thirty billion, two hundred eleven million, two hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 3433 4420 6866 8840 13732 17165 27464 34330 44629 58361 68660 89258 116722 137320 178516 223145 233444 291805 357032 446290 466888 583610 758693 892580 1167220 1517386 1785160 2334440 3034772 3437827 3793465 6069544 6875654 7586930 13751308 15173860 17189135 27502616 30347720 34378270 44691751 58443059 68756540 89383502 116886118 137513080 178767004 223458755 233772236 292215295 357534008 446917510 467544472 584430590 759759767 893835020 1168861180 1519519534 1787670040 2337722360 3039039068 3798798835 6078078136 7597597670 11802060091 15195195340 23604120182 30390390680 47208240364 59010300455 94416480728 118020600910 153426781183 200635021547 236041201820 306853562366 401270043094 472082403640 613707124732 767133905915 802540086188 1003175107735 1227414249464 1534267811830 1605080172376 2006350215470 2608255280111 3068535623660 4012700430940 5216510560222 6137071247320 8025400861880 10433021120444 13041276400555 20866042240888 26082552801110 52165105602220 104330211204440