Search a number
-
+
10421412043440 = 2435122356696263
BaseRepresentation
bin1001011110100110110010…
…0100000001101010110000
31100220021111010100010112010
42113221230210001222300
52331221022440342230
634055310335402520
72123631206535036
oct227515444015260
940807433303463
1010421412043440
11335877245a592
1212038a5983440
135a7972878948
14280582d42556
1513114152a9b0
hex97a6c901ab0

10421412043440 has 160 divisors (see below), whose sum is σ = 32343659873280. Its totient is φ = 2775837795328.

The previous prime is 10421412043421. The next prime is 10421412043447. The reversal of 10421412043440 is 4434021412401.

It is a happy number.

It is a super-3 number, since 3×104214120434403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10421412043398 and 10421412043407.

It is not an unprimeable number, because it can be changed into a prime (10421412043447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1663961749 + ... + 1663968011.

It is an arithmetic number, because the mean of its divisors is an integer number (202147874208).

Almost surely, 210421412043440 is an apocalyptic number.

10421412043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10421412043440 is an abundant number, since it is smaller than the sum of its proper divisors (21922247829840).

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

10421412043440 is a wasteful number, since it uses less digits than its factorization.

10421412043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10421412043440 its reverse (4434021412401), we get a palindrome (14855433455841).

The spelling of 10421412043440 in words is "ten trillion, four hundred twenty-one billion, four hundred twelve million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1223 2446 3669 4892 5669 6115 6263 7338 9784 11338 12230 12526 14676 17007 18345 18789 19568 22676 24460 25052 28345 29352 31315 34014 36690 37578 45352 48920 50104 56690 58704 62630 68028 73380 75156 85035 90704 93945 97840 100208 113380 125260 136056 146760 150312 170070 187890 226760 250520 272112 293520 300624 340140 375780 453520 501040 680280 751560 1360560 1503120 6933187 7659649 13866374 15319298 20799561 22978947 27732748 30638596 34665935 35504947 38298245 41599122 45957894 55465496 61277192 69331870 71009894 76596490 83198244 91915788 103997805 106514841 110930992 114894735 122554384 138663740 142019788 153192980 166396488 177524735 183831576 207995610 213029682 229789470 277327480 284039576 306385960 332792976 355049470 367663152 415991220 426059364 459578940 532574205 554654960 568079152 612771920 710098940 831982440 852118728 919157880 1065148410 1420197880 1663964880 1704237456 1838315760 2130296820 2840395760 4260593640 8521187280 43422550181 86845100362 130267650543 173690200724 217112750905 260535301086 347380401448 434225501810 521070602172 651338252715 694760802896 868451003620 1042141204344 1302676505430 1736902007240 2084282408688 2605353010860 3473804014480 5210706021720 10421412043440