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1332304430320 = 24529532204439
BaseRepresentation
bin10011011000110011100…
…010000100010011110000
311201100220120211112201101
4103120303202010103300
5133312024413232240
62500015135414144
7165153513543103
oct23306342042360
94640816745641
101332304430320
11474033132896
12196262084354
1398835a26076
14486aba9673a
15249c9ee839a
hex136338844f0

1332304430320 has 120 divisors (see below), whose sum is σ = 3266039397600. Its totient is φ = 504834290688.

The previous prime is 1332304430269. The next prime is 1332304430321. The reversal of 1332304430320 is 230344032331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332304430321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6414661 + ... + 6619099.

It is an arithmetic number, because the mean of its divisors is an integer number (27216994980).

Almost surely, 21332304430320 is an apocalyptic number.

1332304430320 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 1332304430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633019698800).

1332304430320 is an abundant number, since it is smaller than the sum of its proper divisors (1933734967280).

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

1332304430320 is a wasteful number, since it uses less digits than its factorization.

1332304430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204587 (or 204528 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 1332304430320 its reverse (230344032331), we get a palindrome (1562648462651).

The spelling of 1332304430320 in words is "one trillion, three hundred thirty-two billion, three hundred four million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 53 58 80 106 116 145 212 232 265 290 424 464 530 580 848 1060 1160 1537 2120 2320 2809 3074 4240 5618 6148 7685 11236 12296 14045 15370 22472 24592 28090 30740 44944 56180 61480 81461 112360 122960 162922 204439 224720 325844 407305 408878 651688 814610 817756 1022195 1303376 1629220 1635512 2044390 3258440 3271024 4088780 5928731 6516880 8177560 10835267 11857462 16355120 21670534 23714924 29643655 43341068 47429848 54176335 59287310 86682136 94859696 108352670 118574620 173364272 216705340 237149240 314222743 433410680 474298480 574269151 628445486 866821360 1148538302 1256890972 1571113715 2297076604 2513781944 2871345755 3142227430 4594153208 5027563888 5742691510 6284454860 9188306416 11485383020 12568909720 16653805379 22970766040 25137819440 33307610758 45941532080 66615221516 83269026895 133230443032 166538053790 266460886064 333076107580 666152215160 1332304430320