Search a number
-
+
10402313033044 = 22137181383327361
BaseRepresentation
bin1001011101011111101000…
…1011000101010101010100
31100211110012002011212122201
42113113322023011111110
52330412414114024134
634042431233334244
72122354004611012
oct227277213052524
940743162155581
1010402313033044
113350661579379
121200055707384
135a5c1aa52c6a
1427d6905938b2
151308c4934914
hex975fa2c5554

10402313033044 has 48 divisors (see below), whose sum is σ = 18443717497296. Its totient is φ = 5133138739200.

The previous prime is 10402313033041. The next prime is 10402313033081. The reversal of 10402313033044 is 44033031320401.

It can be written as a sum of positive squares in 8 ways, for example, as 1525131141444 + 8877181891600 = 1234962^2 + 2979460^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402313033041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380173924 + ... + 380201284.

It is an arithmetic number, because the mean of its divisors is an integer number (384244114527).

Almost surely, 210402313033044 is an apocalyptic number.

It is an amenable number.

10402313033044 is a deficient number, since it is larger than the sum of its proper divisors (8041404464252).

10402313033044 is a wasteful number, since it uses less digits than its factorization.

10402313033044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31516 (or 31514 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10402313033044 its reverse (44033031320401), we get a palindrome (54435344353445).

The spelling of 10402313033044 in words is "ten trillion, four hundred two billion, three hundred thirteen million, thirty-three thousand, forty-four".

Divisors: 1 2 4 137 181 274 362 548 724 3833 7666 15332 24797 27361 49594 54722 99188 109444 525121 693773 1050242 1387546 2100484 2775092 3748457 4952341 7496914 9904682 14993828 19809364 95046901 104874713 190093802 209749426 380187604 419498852 678470717 1356941434 2713882868 14367835681 18982323053 28735671362 37964646106 57471342724 75929292212 2600578258261 5201156516522 10402313033044