Search a number
-
+
1333332040432 = 2474172041631
BaseRepresentation
bin10011011001110000110…
…010000101101011110000
311201110120012110112210011
4103121300302011223300
5133321131000243212
62500305124544304
7165221132230000
oct23316062055360
94643505415704
101333332040432
114745101a4547
121964aa252094
139896a8ac4a2
1448768350000
1524a3a3304a7
hex13670c85af0

1333332040432 has 100 divisors (see below), whose sum is σ = 3190985067456. Its totient is φ = 537814341120.

The previous prime is 1333332040427. The next prime is 1333332040457. The reversal of 1333332040432 is 2340402333331.

It is a junction number, because it is equal to n+sod(n) for n = 1333332040394 and 1333332040403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367744 + ... + 1673887.

Almost surely, 21333332040432 is an apocalyptic number.

It is an amenable number.

1333332040432 is an abundant number, since it is smaller than the sum of its proper divisors (1857653027024).

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

1333332040432 is an equidigital number, since it uses as much as digits as its factorization.

1333332040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041684 (or 2041657 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 1333332040432 its reverse (2340402333331), we get a palindrome (3673734373763).

The spelling of 1333332040432 in words is "one trillion, three hundred thirty-three billion, three hundred thirty-two million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 343 392 476 686 784 833 952 1372 1666 1904 2401 2744 3332 4802 5488 5831 6664 9604 11662 13328 19208 23324 38416 40817 46648 81634 93296 163268 326536 653072 2041631 4083262 8166524 14291417 16333048 28582834 32666096 34707727 57165668 69415454 100039919 114331336 138830908 200079838 228662672 242954089 277661816 400159676 485908178 555323632 700279433 800319352 971816356 1400558866 1600638704 1700678623 1943632712 2801117732 3401357246 3887265424 4901956031 5602235464 6802714492 9803912062 11204470928 11904750361 13605428984 19607824124 23809500722 27210857968 39215648248 47619001444 78431296496 83333252527 95238002888 166666505054 190476005776 333333010108 666666020216 1333332040432