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31240441014000 = 2435347331100093
BaseRepresentation
bin1110001101001101110110…
…11000111010011011110000
311002121120001001022020102220
413012212323120322123300
513043320410344422000
6150235354355041040
76403022152135161
oct706467330723360
9132546031266386
1031240441014000
119a54aa6574569
1236067345a0180
131457c6527b02a
147a008c881768
153929800621a0
hex1c69bb63a6f0

31240441014000 has 160 divisors (see below), whose sum is σ = 100740553602624. Its totient is φ = 8329016550400.

The previous prime is 31240441013851. The next prime is 31240441014011. The reversal of 31240441014000 is 41014404213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27847954 + ... + 28948046.

Almost surely, 231240441014000 is an apocalyptic number.

31240441014000 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 31240441014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50370276801312).

31240441014000 is an abundant number, since it is smaller than the sum of its proper divisors (69500112588624).

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

31240441014000 is a wasteful number, since it uses less digits than its factorization.

31240441014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104852 (or 1104836 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31240441014000 its reverse (41014404213), we get a palindrome (31281455418213).

The spelling of 31240441014000 in words is "thirty-one trillion, two hundred forty billion, four hundred forty-one million, fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 4733 6000 9466 14199 18932 23665 28398 37864 47330 56796 70995 75728 94660 113592 118325 141990 189320 227184 236650 283980 354975 378640 473300 567960 591625 709950 946600 1100093 1135920 1183250 1419900 1774875 1893200 2200186 2366500 2839800 3300279 3549750 4400372 4733000 5500465 5679600 6600558 7099500 8800744 9466000 11000930 13201116 14199000 16501395 17601488 22001860 26402232 27502325 28398000 33002790 44003720 52804464 55004650 66005580 82506975 88007440 110009300 132011160 137511625 165013950 220018600 264022320 275023250 330027900 412534875 440037200 550046500 660055800 825069750 1100093000 1320111600 1650139500 2200186000 3300279000 5206740169 6600558000 10413480338 15620220507 20826960676 26033700845 31240441014 41653921352 52067401690 62480882028 78101102535 83307842704 104134803380 124961764056 130168504225 156202205070 208269606760 249923528112 260337008450 312404410140 390505512675 416539213520 520674016900 624808820280 650842521125 781011025350 1041348033800 1249617640560 1301685042250 1562022050700 1952527563375 2082696067600 2603370084500 3124044101400 3905055126750 5206740169000 6248088202800 7810110253500 10413480338000 15620220507000 31240441014000