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11400031433000 = 235377122937689
BaseRepresentation
bin1010010111100100011011…
…0100101111000100101000
31111100211110210101000021102
42211321012310233010220
52443234231021324000
640125034021300532
72254424256231620
oct245710664570450
944324423330242
1011400031433000
1136a57a96003a1
12134149b564748
136490314196b2
142b5a9b99b880
1514b81ac113d5
hexa5e46d2f128

11400031433000 has 128 divisors (see below), whose sum is σ = 30916336089600. Its totient is φ = 3853531584000.

The previous prime is 11400031432997. The next prime is 11400031433003. The reversal of 11400031433000 is 33413000411.

It is an interprime number because it is at equal distance from previous prime (11400031432997) and next prime (11400031433003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (11400031433003) 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, 10971845 + ... + 11965844.

It is an arithmetic number, because the mean of its divisors is an integer number (241533875700).

Almost surely, 211400031433000 is an apocalyptic number.

11400031433000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400031433000 is an abundant number, since it is smaller than the sum of its proper divisors (19516304656600).

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

11400031433000 is a wasteful number, since it uses less digits than its factorization.

11400031433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22937788 (or 22937774 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11400031433000 its reverse (33413000411), we get a palindrome (11433444433411).

The spelling of 11400031433000 in words is "eleven trillion, four hundred billion, thirty-one million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 125 140 142 175 200 250 280 284 350 355 497 500 568 700 710 875 994 1000 1400 1420 1750 1775 1988 2485 2840 3500 3550 3976 4970 7000 7100 8875 9940 12425 14200 17750 19880 24850 35500 49700 62125 71000 99400 124250 248500 497000 22937689 45875378 91750756 114688445 160563823 183501512 229376890 321127646 458753780 573442225 642255292 802819115 917507560 1146884450 1284510584 1605638230 1628575919 2293768900 2867211125 3211276460 3257151838 4014095575 4587537800 5734422250 6422552920 6514303676 8028191150 8142879595 11400031433 11468844500 13028607352 16056382300 16285759190 20070477875 22800062866 22937689000 32112764600 32571518380 40140955750 40714397975 45600125732 57000157165 65143036760 80281911500 81428795950 91200251464 114000314330 160563823000 162857591900 203571989875 228000628660 285000785825 325715183800 407143979750 456001257320 570001571650 814287959500 1140003143300 1425003929125 1628575919000 2280006286600 2850007858250 5700015716500 11400031433000