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10403144334 = 2331124172671
BaseRepresentation
bin10011011000001001…
…10110001010001110
3222212000100111012000
421230010312022032
5132301201104314
64440143253130
7515541160602
oct115404661216
928760314160
1010403144334
114459338350
122023baa1a6
13c9a39000b
14709905502
1540d493209
hex26c13628e

10403144334 has 64 divisors (see below), whose sum is σ = 25324738560. Its totient is φ = 3139344000.

The previous prime is 10403144263. The next prime is 10403144351. The reversal of 10403144334 is 43344130401.

10403144334 is a `hidden beast` number, since 10 + 4 + 0 + 314 + 4 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10403144298 and 10403144307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106819 + ... + 179489.

It is an arithmetic number, because the mean of its divisors is an integer number (395699040).

Almost surely, 210403144334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403144334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662369280).

10403144334 is an abundant number, since it is smaller than the sum of its proper divisors (14921594226).

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

10403144334 is a wasteful number, since it uses less digits than its factorization.

10403144334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72934 (or 72928 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10403144334 its reverse (43344130401), we get a palindrome (53747274735).

The spelling of 10403144334 in words is "ten billion, four hundred three million, one hundred forty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 241 297 482 594 723 1446 2169 2651 4338 5302 6507 7953 13014 15906 23859 47718 71577 72671 143154 145342 218013 436026 654039 799381 1308078 1598762 1962117 2398143 3924234 4796286 7194429 14388858 17513711 21583287 35027422 43166574 52541133 105082266 157623399 192650821 315246798 385301642 472870197 577952463 945740394 1155904926 1733857389 3467714778 5201572167 10403144334