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335114215140 = 223589186733613
BaseRepresentation
bin1001110000001100101…
…11010001111011100100
31012000222200111222101210
410320012113101323210
520442303214341030
6413541020351420
733132304554405
oct4700627217344
91160880458353
10335114215140
1111a137268911
1254b450a5570
13257a79023c3
141231089d9ac
158ab52a0bb0
hex4e065d1ee4

335114215140 has 96 divisors (see below), whose sum is σ = 949399194240. Its totient is φ = 88309748736.

The previous prime is 335114215129. The next prime is 335114215153. The reversal of 335114215140 is 41512411533.

It is a super-2 number, since 2×3351142151402 (a number of 24 digits) contains 22 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 = 335114215098 and 335114215107.

It is an unprimeable number.

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, 9952974 + ... + 9986586.

It is an arithmetic number, because the mean of its divisors is an integer number (9889574940).

Almost surely, 2335114215140 is an apocalyptic number.

335114215140 is a gapful number since it is divisible by the number (30) 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 335114215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474699597120).

335114215140 is an abundant number, since it is smaller than the sum of its proper divisors (614284979100).

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

335114215140 is a wasteful number, since it uses less digits than its factorization.

335114215140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35581 (or 35579 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 335114215140 its reverse (41512411533), we get a palindrome (376626626673).

The spelling of 335114215140 in words is "three hundred thirty-five billion, one hundred fourteen million, two hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 267 356 445 534 890 1068 1335 1780 1867 2670 3734 5340 5601 7468 9335 11202 18670 22404 28005 33613 37340 56010 67226 100839 112020 134452 166163 168065 201678 332326 336130 403356 498489 504195 664652 672260 830815 996978 1008390 1661630 1993956 2016780 2492445 2991557 3323260 4984890 5983114 8974671 9969780 11966228 14957785 17949342 29915570 35898684 44873355 59831140 62755471 89746710 125510942 179493420 188266413 251021884 313777355 376532826 627554710 753065652 941332065 1255109420 1882664130 3765328260 5585236919 11170473838 16755710757 22340947676 27926184595 33511421514 55852369190 67022843028 83778553785 111704738380 167557107570 335114215140