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4142104166656 = 2813129712
BaseRepresentation
bin111100010001101000101…
…001011100000100000000
3112122222111100202022200201
4330101220221130010000
51020331012131313111
612450504551254544
7605154126332101
oct74215051340400
915588440668621
104142104166656
1113577248aa315
1256a92637a454
132407a25a6c51
1410469c1c03a8
1572b2b7b86c1
hex3c468a5c100

4142104166656 has 81 divisors (see below), whose sum is σ = 8340214044799. Its totient is φ = 2053125900800.

The previous prime is 4142104166633. The next prime is 4142104166701. The reversal of 4142104166656 is 6566614012414.

The square root of 4142104166656 is 2035216.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4265812251 + ... + 4265813221.

Almost surely, 24142104166656 is an apocalyptic number.

4142104166656 is the 2035216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142104166656

4142104166656 is an abundant number, since it is smaller than the sum of its proper divisors (4198109878143).

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

4142104166656 is an frugal number, since it uses more digits than its factorization.

4142104166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 4142104166656 in words is "four trillion, one hundred forty-two billion, one hundred four million, one hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 524 971 1048 1942 2096 3884 4192 7768 8384 15536 16768 17161 31072 33536 34322 62144 68644 124288 127201 137288 248576 254402 274576 508804 549152 942841 1017608 1098304 1885682 2035216 2196608 3771364 4070432 4393216 7542728 8140864 15085456 16281728 16663331 30170912 32563456 33326662 60341824 66653324 120683648 123512171 133306648 241367296 247024342 266613296 494048684 533226592 988097368 1066453184 1976194736 2132906368 3952389472 4265812736 7904778944 15809557888 16180094401 31619115776 32360188802 64720377604 129440755208 258881510416 517763020832 1035526041664 2071052083328 4142104166656