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314004212140024 = 23716334400110883
BaseRepresentation
bin100011101100101011100110…
…1100001011100011111111000
31112011210111202102202102110201
41013121113031201130133320
5312124121111301440044
63031455313232051544
7123066025045553230
oct10731271541343770
91464714672672421
10314004212140024
119106249075326a
122b274153393bb4
1310629615bc53c3
145777c5647acc0
152647e844387d4
hex11d95cd85c7f8

314004212140024 has 32 divisors (see below), whose sum is σ = 676994182197120. Its totient is φ = 133747631109216.

The previous prime is 314004212139983. The next prime is 314004212140039. The reversal of 314004212140024 is 420041212400413.

It is a super-3 number, since 3×3140042121400243 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 314004212139974 and 314004212140001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17200046314 + ... + 17200064569.

It is an arithmetic number, because the mean of its divisors is an integer number (21156068193660).

Almost surely, 2314004212140024 is an apocalyptic number.

It is an amenable number.

314004212140024 is an abundant number, since it is smaller than the sum of its proper divisors (362989970057096).

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

314004212140024 is a wasteful number, since it uses less digits than its factorization.

314004212140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34400111059 (or 34400111055 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 314004212140024 its reverse (420041212400413), we get a palindrome (734045424540437).

The spelling of 314004212140024 in words is "three hundred fourteen trillion, four billion, two hundred twelve million, one hundred forty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 163 326 652 1141 1304 2282 4564 9128 34400110883 68800221766 137600443532 240800776181 275200887064 481601552362 963203104724 1926406209448 5607218073929 11214436147858 22428872295716 39250526517503 44857744591432 78501053035006 157002106070012 314004212140024