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4135401204 = 2231141218637
BaseRepresentation
bin1111011001111101…
…0011011011110100
3101200012111010222120
43312133103123310
531432130314304
61522203555540
7204323221164
oct36637233364
911605433876
104135401204
111832365150
12974b2bbb0
1350b9ab77c
142b331c5a4
151930be0d9
hexf67d36f4

4135401204 has 72 divisors (see below), whose sum is σ = 10790060064. Its totient is φ = 1222521600.

The previous prime is 4135401197. The next prime is 4135401211. The reversal of 4135401204 is 4021045314.

It is an interprime number because it is at equal distance from previous prime (4135401197) and next prime (4135401211).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212574 + ... + 231210.

Almost surely, 24135401204 is an apocalyptic number.

4135401204 is a gapful number since it is divisible by the number (44) 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 4135401204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395030032).

4135401204 is an abundant number, since it is smaller than the sum of its proper divisors (6654658860).

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

4135401204 is a wasteful number, since it uses less digits than its factorization.

4135401204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18737 (or 18694 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4135401204 is about 64307.0851772960. The cubic root of 4135401204 is about 1605.1140020536.

Adding to 4135401204 its reverse (4021045314), we get a palindrome (8156446518).

The spelling of 4135401204 in words is "four billion, one hundred thirty-five million, four hundred one thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1681 1804 2706 3362 5043 5412 6724 10086 18491 18637 20172 36982 37274 55473 55911 73964 74548 110946 111822 205007 221892 223644 410014 615021 764117 820028 1230042 1528234 2292351 2460084 3056468 4584702 8405287 9169404 16810574 25215861 31328797 33621148 50431722 62657594 93986391 100863444 125315188 187972782 344616767 375945564 689233534 1033850301 1378467068 2067700602 4135401204