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4041812350641 = 313238635221231
BaseRepresentation
bin111010110100001110110…
…010100001011010110001
3112022101121212000012010110
4322310032302201122301
51012210112430210031
612332441041451533
7565003610061042
oct72641662413261
915271555005113
104041812350641
11131913977a55a
125533b6940ba9
132341ab4a3810
14dd8a64ba8c9
157020bb39c46
hex3ad0eca16b1

4041812350641 has 32 divisors (see below), whose sum is σ = 6062978138112. Its totient is φ = 2376369737280.

The previous prime is 4041812350553. The next prime is 4041812350651. The reversal of 4041812350641 is 1460532181404.

4041812350641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-4041812350641 is a prime.

It is a super-2 number, since 2×40418123506412 (a number of 26 digits) contains 22 as substring.

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 4041812350641.

It is not an unprimeable number, because it can be changed into a prime (4041812350651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836505 + ... + 3384726.

It is an arithmetic number, because the mean of its divisors is an integer number (189468066816).

Almost surely, 24041812350641 is an apocalyptic number.

It is an amenable number.

4041812350641 is a deficient number, since it is larger than the sum of its proper divisors (2021165787471).

4041812350641 is a wasteful number, since it uses less digits than its factorization.

4041812350641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222133.

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 4041812350641 in words is "four trillion, forty-one billion, eight hundred twelve million, three hundred fifty thousand, six hundred forty-one".

Divisors: 1 3 13 23 39 69 299 863 897 2589 11219 19849 33657 59547 258037 774111 5221231 15663693 67876003 120088313 203628009 360264939 1561148069 4505922353 4683444207 13517767059 58576990589 103636214119 175730971767 310908642357 1347270783547 4041812350641