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104321225424 = 243131753185551
BaseRepresentation
bin110000100101000000…
…1111001001011010000
3100222021022210100010210
41201022001321023100
53202122213203144
6115531405524120
710352114533233
oct1411201711320
9328238710123
10104321225424
1140273680789
1218274b73640
139ab6b51070
145098d1141a
152aa87b2ab9
hex184a0792d0

104321225424 has 160 divisors (see below), whose sum is σ = 313098960384. Its totient is φ = 29640499200.

The previous prime is 104321225413. The next prime is 104321225461. The reversal of 104321225424 is 424522123401.

It is a happy number.

It is a super-3 number, since 3×1043212254243 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104321225391 and 104321225400.

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, 469449 + ... + 654999.

Almost surely, 2104321225424 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 104321225424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156549480192).

104321225424 is an abundant number, since it is smaller than the sum of its proper divisors (208777734960).

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

104321225424 is a wasteful number, since it uses less digits than its factorization.

104321225424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185645 (or 185639 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 104321225424 its reverse (424522123401), we get a palindrome (528843348825).

The spelling of 104321225424 in words is "one hundred four billion, three hundred twenty-one million, two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 53 68 78 102 104 106 136 156 159 204 208 212 221 272 312 318 408 424 442 624 636 663 689 816 848 884 901 1272 1326 1378 1768 1802 2067 2544 2652 2703 2756 3536 3604 4134 5304 5406 5512 7208 8268 10608 10812 11024 11713 14416 16536 21624 23426 33072 35139 43248 46852 70278 93704 140556 185551 187408 281112 371102 556653 562224 742204 1113306 1484408 2226612 2412163 2968816 3154367 4453224 4824326 6308734 7236489 8906448 9463101 9648652 9834203 12617468 14472978 18926202 19297304 19668406 25234936 28945956 29502609 37852404 38594608 39336812 41006771 50469872 57891912 59005218 75704808 78673624 82013542 115783824 118010436 123020313 127844639 151409616 157347248 164027084 167181451 236020872 246040626 255689278 328054168 334362902 383533917 472041744 492081252 501544353 511378556 656108336 668725804 767067834 984162504 1003088706 1022757112 1337451608 1534135668 1968325008 2006177412 2045514224 2173358863 2674903216 3068271336 4012354824 4346717726 6136542672 6520076589 8024709648 8693435452 13040153178 17386870904 26080306356 34773741808 52160612712 104321225424