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1332230034400 = 255231191328081
BaseRepresentation
bin10011011000101111000…
…110010001001111100000
311201100201101211211200221
4103120233012101033200
5133311401342100100
62500003521052424
7165151621310266
oct23305706211740
94640641754627
101332230034400
11473aa513a061
12196241187114
13988234a8705
14486a1c4c436
15249c370001a
hex1362f1913e0

1332230034400 has 144 divisors (see below), whose sum is σ = 3359094254208. Its totient is φ = 515414016000.

The previous prime is 1332230034341. The next prime is 1332230034403. The reversal of 1332230034400 is 44300322331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332230034403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47428360 + ... + 47456440.

It is an arithmetic number, because the mean of its divisors is an integer number (23327043432).

Almost surely, 21332230034400 is an apocalyptic number.

1332230034400 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 1332230034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679547127104).

1332230034400 is an abundant number, since it is smaller than the sum of its proper divisors (2026864219808).

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

1332230034400 is a wasteful number, since it uses less digits than its factorization.

1332230034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30045 (or 30032 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 1332230034400 its reverse (44300322331), we get a palindrome (1376530356731).

The spelling of 1332230034400 in words is "one trillion, three hundred thirty-two billion, two hundred thirty million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 1913 2480 3100 3826 4960 6200 7652 9565 12400 15304 19130 24800 28081 30608 38260 47825 56162 59303 61216 76520 95650 112324 118606 140405 153040 191300 224648 237212 280810 296515 306080 382600 449296 474424 561620 593030 702025 765200 870511 898592 948848 1123240 1186060 1404050 1482575 1530400 1741022 1897696 2246480 2372120 2808100 2965150 3482044 4352555 4492960 4744240 5616200 5930300 6964088 8705110 9488480 11232400 11860600 13928176 17410220 21762775 22464800 23721200 27856352 34820440 43525550 47442400 53718953 69640880 87051100 107437906 139281760 174102200 214875812 268594765 348204400 429751624 537189530 696408800 859503248 1074379060 1342973825 1665287543 1719006496 2148758120 2685947650 3330575086 4297516240 5371895300 6661150172 8326437715 8595032480 10743790600 13322300344 16652875430 21487581200 26644600688 33305750860 41632188575 42975162400 53289201376 66611501720 83264377150 133223003440 166528754300 266446006880 333057508600 666115017200 1332230034400