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4364217643041 = 31085972
BaseRepresentation
bin111111100000011111101…
…001000111000000100001
3120110012210211110000000000
4333200133221013000201
51033000404204034131
613140521030050213
7630206244615534
oct77403751070041
916405724400000
104364217643041
1114329440a2633
125a59937a9969
1325870c0c9899
1411132d140a1b
15787cb2d3ce6
hex3f81fa47021

4364217643041 has 33 divisors (see below), whose sum is σ = 6547051061011. Its totient is φ = 2909139999192.

The previous prime is 4364217643033. The next prime is 4364217643061. The reversal of 4364217643041 is 1403467124634.

The square root of 4364217643041 is 2089071.

It is a perfect power (a square), and thus also a powerful number.

4364217643041 is a `hidden beast` number, since 4 + 3 + 6 + 4 + 2 + 176 + 430 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3099483486225 + 1264734156816 = 1760535^2 + 1124604^2 .

It is not a de Polignac number, because 4364217643041 - 23 = 4364217643033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4364217643061) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 507639955 + ... + 507648551.

Almost surely, 24364217643041 is an apocalyptic number.

4364217643041 is the 2089071-st square number.

4364217643041 is the 1044536-th centered octagonal number.

It is an amenable number.

4364217643041 is a deficient number, since it is larger than the sum of its proper divisors (2182833417970).

4364217643041 is an frugal number, since it uses more digits than its factorization.

4364217643041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17224 (or 8600 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 4364217643041 in words is "four trillion, three hundred sixty-four billion, two hundred seventeen million, six hundred forty-three thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 2187 6561 8597 19683 25791 59049 77373 232119 696357 2089071 6267213 18801639 56404917 73908409 169214751 221725227 507644253 665175681 1995527043 5986581129 17959743387 53879230161 161637690483 484913071449 1454739214347 4364217643041