Search a number
-
+
1004402120412 = 223538693181669
BaseRepresentation
bin11101001110110110000…
…10000001011011011100
310120000112111210022102210
432213123002001123130
5112424003420323122
62045225503120420
7132365010105225
oct16473302013334
93500474708383
101004402120412
11357a678a3139
121427b02a3110
137393a2c1a12
1436882d5424c
151b1d7e6d40c
hexe9db0816dc

1004402120412 has 48 divisors (see below), whose sum is σ = 2388111737760. Its totient is φ = 328444117248.

The previous prime is 1004402120411. The next prime is 1004402120417. The reversal of 1004402120412 is 2140212044001.

1004402120412 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004402120411) 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, 5437914 + ... + 5619582.

It is an arithmetic number, because the mean of its divisors is an integer number (49752327870).

Almost surely, 21004402120412 is an apocalyptic number.

1004402120412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004402120412 is an abundant number, since it is smaller than the sum of its proper divisors (1383709617348).

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

1004402120412 is a wasteful number, since it uses less digits than its factorization.

1004402120412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190422 (or 190420 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 1004402120412 its reverse (2140212044001), we get a palindrome (3144614164413).

The spelling of 1004402120412 in words is "one trillion, four billion, four hundred two million, one hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 53 106 159 212 318 636 8693 17386 26079 34772 52158 104316 181669 363338 460729 545007 726676 921458 1090014 1382187 1842916 2180028 2764374 5528748 9628457 19256914 28885371 38513828 57770742 115541484 1579248617 3158497234 4737745851 6316994468 9475491702 18950983404 83700176701 167400353402 251100530103 334800706804 502201060206 1004402120412