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1323041303424 = 27331726834051
BaseRepresentation
bin10011010000001011011…
…010000010101110000000
311200111000000121221110110
4103100023122002232000
5133134042033202144
62451444034431320
7164405124345201
oct23201332025600
94614000557413
101323041303424
1147010a362515
121944b7a32540
13979ba8b84a9
144806d7495a8
1524636b930b9
hex1340b682b80

1323041303424 has 128 divisors (see below), whose sum is σ = 3527599236480. Its totient is φ = 439350220800.

The previous prime is 1323041303407. The next prime is 1323041303483. The reversal of 1323041303424 is 4243031403231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1323041303391 and 1323041303400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326594199 + ... + 326598249.

It is an arithmetic number, because the mean of its divisors is an integer number (27559369035).

Almost surely, 21323041303424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323041303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763799618240).

1323041303424 is an abundant number, since it is smaller than the sum of its proper divisors (2204557933056).

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

1323041303424 is a wasteful number, since it uses less digits than its factorization.

1323041303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7056 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 1323041303424 its reverse (4243031403231), we get a palindrome (5566072706655).

The spelling of 1323041303424 in words is "one trillion, three hundred twenty-three billion, forty-one million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 317 384 634 951 1268 1902 2536 2683 3804 4051 5072 5366 7608 8049 8102 10144 10732 12153 15216 16098 16204 20288 21464 24306 30432 32196 32408 40576 42928 48612 60864 64392 64816 85856 97224 121728 128784 129632 171712 194448 257568 259264 343424 388896 515136 518528 777792 850511 1030272 1284167 1555584 1701022 2551533 2568334 3402044 3852501 5103066 5136668 6804088 7705002 10206132 10273336 10868833 13608176 15410004 20412264 20546672 21737666 27216352 30820008 32606499 40824528 41093344 43475332 54432704 61640016 65212998 81649056 82186688 86950664 108865408 123280032 130425996 163298112 164373376 173901328 246560064 260851992 326596224 347802656 493120128 521703984 695605312 1043407968 1391210624 2086815936 3445420061 4173631872 6890840122 10336260183 13781680244 20672520366 27563360488 41345040732 55126720976 82690081464 110253441952 165380162928 220506883904 330760325856 441013767808 661520651712 1323041303424