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5106142444704 = 253723330366359
BaseRepresentation
bin100101001001101110111…
…0011100111110010100000
3200002010211211211222201220
41022103131303213302200
51132124334431212304
614505421321255040
71034622653440530
oct112233563476240
920063754758656
105106142444704
111699559325244
126a5730934480
132b0679324772
141391d24d54c0
158cc50d2ead9
hex4a4ddce7ca0

5106142444704 has 96 divisors (see below), whose sum is σ = 15984445962240. Its totient is φ = 1395467496192.

The previous prime is 5106142444657. The next prime is 5106142444751. The reversal of 5106142444704 is 4074442416015.

It is an interprime number because it is at equal distance from previous prime (5106142444657) and next prime (5106142444751).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 165167724 + ... + 165198635.

It is an arithmetic number, because the mean of its divisors is an integer number (166504645440).

Almost surely, 25106142444704 is an apocalyptic number.

It is an amenable number.

5106142444704 is an abundant number, since it is smaller than the sum of its proper divisors (10878303517536).

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

5106142444704 is a wasteful number, since it uses less digits than its factorization.

5106142444704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330366402 (or 330366394 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 5106142444704 in words is "five trillion, one hundred six billion, one hundred forty-two million, four hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 330366359 660732718 991099077 1321465436 1982198154 2312564513 2642930872 3964396308 4625129026 5285861744 6937693539 7598426257 7928792616 9250258052 10571723488 13875387078 15196852514 15857585232 18500516104 22795278771 27750774156 30393705028 31715170464 37001032208 45590557542 53188983799 55501548312 60787410056 74002064416 91181115084 106377967598 111003096624 121574820112 159566951397 182362230168 212755935196 222006193248 243149640224 319133902794 364724460336 425511870392 638267805588 729448920672 851023740784 1276535611176 1702047481568 2553071222352 5106142444704