Search a number
-
+
1223003341040 = 245132180150227
BaseRepresentation
bin10001110011000000101…
…011100000000011110000
311022220210012112220121112
4101303000223200003300
5130014202323403130
62333501234012452
7154234106606165
oct21630053400360
94286705486545
101223003341040
11431744558748
12179039417128
138b437276800
144329d64606c
1521c2e45a495
hex11cc0ae00f0

1223003341040 has 120 divisors (see below), whose sum is σ = 3080808516528. Its totient is φ = 451310745600.

The previous prime is 1223003341037. The next prime is 1223003341073. The reversal of 1223003341040 is 401433003221.

It is a junction number, because it is equal to n+sod(n) for n = 1223003340997 and 1223003341015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24324407 + ... + 24374633.

Almost surely, 21223003341040 is an apocalyptic number.

1223003341040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223003341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540404258264).

1223003341040 is an abundant number, since it is smaller than the sum of its proper divisors (1857805175488).

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

1223003341040 is a wasteful number, since it uses less digits than its factorization.

1223003341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52067 (or 52048 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 1223003341040 its reverse (401433003221), we get a palindrome (1624436344261).

The spelling of 1223003341040 in words is "one trillion, two hundred twenty-three billion, three million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 1801 2704 3380 3602 6760 7204 9005 13520 14408 18010 23413 28816 36020 46826 50227 72040 93652 100454 117065 144080 187304 200908 234130 251135 304369 374608 401816 468260 502270 608738 652951 803632 936520 1004540 1217476 1305902 1521845 1873040 2009080 2434952 2611804 3043690 3264755 4018160 4869904 5223608 6087380 6529510 8488363 10447216 12174760 13059020 16976726 24349520 26118040 33953452 42441815 52236080 67906904 84883630 90458827 135813808 169767260 180917654 339534520 361835308 452294135 679069040 723670616 904588270 1175964751 1447341232 1809176540 2351929502 3618353080 4703859004 5879823755 7236706160 9407718008 11759647510 15287541763 18815436016 23519295020 30575083526 47038590040 61150167052 76437708815 94077180080 122300334104 152875417630 244600668208 305750835260 611501670520 1223003341040