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31440050331000 = 2335359177627403
BaseRepresentation
bin1110010011000001101010…
…00010000001110101111000
311010022122021011110011121120
413021200311002001311320
513110103210341043000
6150511205411305240
76423316520263533
oct711406502016570
9133278234404546
1031440050331000
11a021717853853
1236393612ab220
131470a2666b61c
147a99c6b05a1a
15397c640636a0
hex1c9835081d78

31440050331000 has 128 divisors (see below), whose sum is σ = 99755550086400. Its totient is φ = 8241911452800.

The previous prime is 31440050330981. The next prime is 31440050331007. The reversal of 31440050331000 is 13305004413.

It is a happy number.

It is a super-2 number, since 2×314400503310002 (a number of 28 digits) contains 22 as substring.

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 (31440050331007) 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 31 ways as a sum of consecutive naturals, for example, 88636702 + ... + 88990701.

It is an arithmetic number, because the mean of its divisors is an integer number (779340235050).

Almost surely, 231440050331000 is an apocalyptic number.

31440050331000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31440050331000 is an abundant number, since it is smaller than the sum of its proper divisors (68315499755400).

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

31440050331000 is a wasteful number, since it uses less digits than its factorization.

31440050331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177627486 (or 177627472 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 31440050331000 its reverse (13305004413), we get a palindrome (31453355335413).

The spelling of 31440050331000 in words is "thirty-one trillion, four hundred forty billion, fifty million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 14750 17700 22125 29500 35400 44250 59000 88500 177000 177627403 355254806 532882209 710509612 888137015 1065764418 1421019224 1776274030 2131528836 2664411045 3552548060 4263057672 4440685075 5328822090 7105096120 8881370150 10480016777 10657644180 13322055225 17762740300 20960033554 21315288360 22203425375 26644110450 31440050331 35525480600 41920067108 44406850750 52400083885 53288220900 62880100662 66610276125 83840134216 88813701500 104800167770 106576441800 125760201324 133220552250 157200251655 177627403000 209600335540 251520402648 262000419425 266441104500 314400503310 419200671080 524000838850 532882209000 628801006620 786001258275 1048001677700 1257602013240 1310002097125 1572002516550 2096003355400 2620004194250 3144005033100 3930006291375 5240008388500 6288010066200 7860012582750 10480016777000 15720025165500 31440050331000