Search a number
-
+
350135145650040 = 233526826710876451
BaseRepresentation
bin100111110011100100011000…
…0111110101101011101111000
31200220201121000022111012110220
41033213020300332231131320
5331343103234241300130
63240401510525540040
7133515300212244552
oct11747106076553570
91626647008435426
10350135145650040
11a1622532795783
123332a653a14620
131204a7aaa9614a
1462668baa824d2
152a72c42e59410
hex13e7230fad778

350135145650040 has 64 divisors (see below), whose sum is σ = 1050409449048960. Its totient is φ = 93369015542400.

The previous prime is 350135145649999. The next prime is 350135145650083. The reversal of 350135145650040 is 40056541531053.

It is a happy number.

It is a super-3 number, since 3×3501351456500403 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 350135145649974 and 350135145650001.

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, 26753815 + ... + 37630265.

It is an arithmetic number, because the mean of its divisors is an integer number (16412647641390).

Almost surely, 2350135145650040 is an apocalyptic number.

350135145650040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350135145650040 is an abundant number, since it is smaller than the sum of its proper divisors (700274303398920).

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

350135145650040 is a wasteful number, since it uses less digits than its factorization.

350135145650040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144732 (or 11144728 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 350135145650040 in words is "three hundred fifty trillion, one hundred thirty-five billion, one hundred forty-five million, six hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 268267 536534 804801 1073068 1341335 1609602 2146136 2682670 3219204 4024005 5365340 6438408 8048010 10730680 10876451 16096020 21752902 32192040 32629353 43505804 54382255 65258706 87011608 108764510 130517412 163146765 217529020 261034824 326293530 435058040 652587060 1305174120 2917792880417 5835585760834 8753378641251 11671171521668 14588964402085 17506757282502 23342343043336 29177928804170 35013514565004 43766893206255 58355857608340 70027029130008 87533786412510 116711715216680 175067572825020 350135145650040