Search a number
-
+
1323319902960 = 243511593984401
BaseRepresentation
bin10011010000011100000…
…000110100001011110000
311200111201102212021011210
4103100130000310023300
5133140124343343320
62451531430040120
7164415046403556
oct23203400641360
94614642767153
101323319902960
1147024264a470
121945751a9040
1397a335325a3
144809874bbd6
15246513760e0
hex1341c0342f0

1323319902960 has 160 divisors (see below), whose sum is σ = 4476033872640. Its totient is φ = 320747008000.

The previous prime is 1323319902911. The next prime is 1323319902967. The reversal of 1323319902960 is 692099133231.

It is a super-4 number, since 4×13233199029604 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323319902967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15636760 + ... + 15721160.

It is an arithmetic number, because the mean of its divisors is an integer number (27975211704).

Almost surely, 21323319902960 is an apocalyptic number.

1323319902960 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 1323319902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238016936320).

1323319902960 is an abundant number, since it is smaller than the sum of its proper divisors (3152713969680).

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

1323319902960 is a wasteful number, since it uses less digits than its factorization.

1323319902960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90367 (or 90361 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The spelling of 1323319902960 in words is "one trillion, three hundred twenty-three billion, three hundred nineteen million, nine hundred two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5939 11878 17817 23756 29695 35634 47512 59390 65329 71268 84401 89085 95024 118780 130658 142536 168802 178170 195987 237560 253203 261316 285072 326645 337604 356340 391974 422005 475120 506406 522632 653290 675208 712680 783948 844010 928411 979935 1012812 1045264 1266015 1306580 1350416 1425360 1567896 1688020 1856822 1959870 2025624 2532030 2613160 2785233 3135792 3376040 3713644 3919740 4051248 4642055 5064060 5226320 5570466 6752080 7427288 7839480 9284110 10128120 11140932 13926165 14854576 15678960 18568220 20256240 22281864 27852330 37136440 44563728 55704660 74272880 111409320 222818640 501257539 1002515078 1503772617 2005030156 2506287695 3007545234 4010060312 5012575390 5513832929 6015090468 7518863085 8020120624 10025150780 11027665858 12030180936 15037726170 16541498787 20050301560 22055331716 24060361872 27569164645 30075452340 33082997574 40100603120 44110663432 55138329290 60150904680 66165995148 82707493935 88221326864 110276658580 120301809360 132331990296 165414987870 220553317160 264663980592 330829975740 441106634320 661659951480 1323319902960