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31421310423000 = 2335329393563719
BaseRepresentation
bin1110010010011110110000…
…00010111100111111011000
311010020211220011000012121220
413021033120002330333120
513104301320432014000
6150454430054132040
76422054235554331
oct711173002747730
9133224804005556
1031421310423000
11a014780644583
1236357b1351020
13146c02b067c74
147a8b29d13288
15397518c531a0
hex1c93d80bcfd8

31421310423000 has 128 divisors (see below), whose sum is σ = 98067872448000. Its totient is φ = 8376162787200.

The previous prime is 31421310422951. The next prime is 31421310423007. The reversal of 31421310423000 is 32401312413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421310423007) 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, 7035141 + ... + 10598859.

It is an arithmetic number, because the mean of its divisors is an integer number (766155253500).

Almost surely, 231421310423000 is an apocalyptic number.

31421310423000 is a gapful number since it is divisible by the number (30) 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 31421310423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49033936224000).

31421310423000 is an abundant number, since it is smaller than the sum of its proper divisors (66646562025000).

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

31421310423000 is a wasteful number, since it uses less digits than its factorization.

31421310423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566682 (or 3566668 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31421310423000 its reverse (32401312413), we get a palindrome (31453711735413).

The spelling of 31421310423000 in words is "thirty-one trillion, four hundred twenty-one billion, three hundred ten million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2939 3000 5878 8817 11756 14695 17634 23512 29390 35268 44085 58780 70536 73475 88170 117560 146950 176340 220425 293900 352680 367375 440850 587800 734750 881700 1102125 1469500 1763400 2204250 2939000 3563719 4408500 7127438 8817000 10691157 14254876 17818595 21382314 28509752 35637190 42764628 53455785 71274380 85529256 89092975 106911570 142548760 178185950 213823140 267278925 356371900 427646280 445464875 534557850 712743800 890929750 1069115700 1336394625 1781859500 2138231400 2672789250 3563719000 5345578500 10473770141 10691157000 20947540282 31421310423 41895080564 52368850705 62842620846 83790161128 104737701410 125685241692 157106552115 209475402820 251370483384 261844253525 314213104230 418950805640 523688507050 628426208460 785532760575 1047377014100 1256852416920 1309221267625 1571065521150 2094754028200 2618442535250 3142131042300 3927663802875 5236885070500 6284262084600 7855327605750 10473770141000 15710655211500 31421310423000