Search a number
-
+
4121203296 = 253723266641
BaseRepresentation
bin1111010110100100…
…1001001001100000
3101122012202211010010
43311221021021200
531420012001141
61520535404520
7204061435650
oct36551111140
911565684103
104121203296
111825348041
12970223740
13508a7a242
142b14a4360
15191c17416
hexf5a49260

4121203296 has 96 divisors (see below), whose sum is σ = 12901206528. Its totient is φ = 1126287360.

The previous prime is 4121203283. The next prime is 4121203297. The reversal of 4121203296 is 6923021214.

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

It is a super-2 number, since 2×41212032962 = 33968633213922527232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121203297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117865 + ... + 148776.

It is an arithmetic number, because the mean of its divisors is an integer number (134387568).

Almost surely, 24121203296 is an apocalyptic number.

4121203296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4121203296 is an abundant number, since it is smaller than the sum of its proper divisors (8780003232).

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

4121203296 is a wasteful number, since it uses less digits than its factorization.

4121203296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266684 (or 266676 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4121203296 is about 64196.5987884093. The cubic root of 4121203296 is about 1603.2749711953.

It can be divided in two parts, 412120 and 3296, that added together give a triangular number (415416 = T911).

The spelling of 4121203296 in words is "four billion, one hundred twenty-one million, two hundred three thousand, two hundred ninety-six".

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 266641 533282 799923 1066564 1599846 1866487 2133128 3199692 3732974 4266256 5599461 6132743 6399384 7465948 8532512 11198922 12265486 12798768 14931896 18398229 22397844 24530972 25597536 29863792 36796458 42929201 44795688 49061944 59727584 73592916 85858402 89591376 98123888 128787603 147185832 171716804 179182752 196247776 257575206 294371664 343433608 515150412 588743328 686867216 1030300824 1373734432 2060601648 4121203296