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2414640452601 = 313237863149153
BaseRepresentation
bin100011001000110011110…
…010010101001111111001
322112211121110000021100010
4203020303302111033321
5304030140423440401
65045134232532133
7336311020125246
oct43106362251771
98484543007303
102414640452601
11851052649993
1232bb82251049
131469130a1a00
1484c252025cd
1542c24d67ed6
hex23233c953f9

2414640452601 has 48 divisors (see below), whose sum is σ = 3584621661696. Its totient is φ = 1444087277568.

The previous prime is 2414640452561. The next prime is 2414640452603. The reversal of 2414640452601 is 1062540464142.

It is not a de Polignac number, because 2414640452601 - 26 = 2414640452537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2414640452601.

It is not an unprimeable number, because it can be changed into a prime (2414640452603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16114441 + ... + 16263593.

It is an arithmetic number, because the mean of its divisors is an integer number (74679617952).

Almost surely, 22414640452601 is an apocalyptic number.

It is an amenable number.

2414640452601 is a deficient number, since it is larger than the sum of its proper divisors (1169981209095).

2414640452601 is a wasteful number, since it uses less digits than its factorization.

2414640452601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150082 (or 150069 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 2414640452601 in words is "two trillion, four hundred fourteen billion, six hundred forty million, four hundred fifty-two thousand, six hundred one".

Divisors: 1 3 13 37 39 111 169 481 507 863 1443 2589 6253 11219 18759 31931 33657 95793 145847 149153 415103 437541 447459 1245309 1938989 5396339 5518661 5816967 16189017 16555983 25206857 71742593 75620571 128719039 215227779 386157117 932653709 1673347507 2797961127 4762604443 5020042521 14287813329 21753517591 61913857759 65260552773 185741573277 804880150867 2414640452601