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335121114040 = 23543307634651
BaseRepresentation
bin1001110000001101100…
…01100110001110111000
31012001000011111110220121
410320012301212032320
520442312001122130
6413541424303024
733132420316666
oct4700661461670
91161004443817
10335121114040
1111a140150089
1254b47471a74
13257a91795ab
1412311777c36
158ab5bb4d7a
hex4e06c663b8

335121114040 has 64 divisors (see below), whose sum is σ = 774072351360. Its totient is φ = 130504348800.

The previous prime is 335121113969. The next prime is 335121114079. The reversal of 335121114040 is 40411121533.

It is a super-2 number, since 2×3351211140402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335121113996 and 335121114014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210715 + ... + 845365.

It is an arithmetic number, because the mean of its divisors is an integer number (12094880490).

Almost surely, 2335121114040 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 335121114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387036175680).

335121114040 is an abundant number, since it is smaller than the sum of its proper divisors (438951237320).

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

335121114040 is a wasteful number, since it uses less digits than its factorization.

335121114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635012 (or 635008 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 335121114040 its reverse (40411121533), we get a palindrome (375532235573).

The spelling of 335121114040 in words is "three hundred thirty-five billion, one hundred twenty-one million, one hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 307 344 430 614 860 1228 1535 1720 2456 3070 6140 12280 13201 26402 52804 66005 105608 132010 264020 528040 634651 1269302 2538604 3173255 5077208 6346510 12693020 25386040 27289993 54579986 109159972 136449965 194837857 218319944 272899930 389675714 545799860 779351428 974189285 1091599720 1558702856 1948378570 3896757140 7793514280 8378027851 16756055702 33512111404 41890139255 67024222808 83780278510 167560557020 335121114040