Search a number
-
+
3871457355120 = 243540187745869
BaseRepresentation
bin111000010101100100110…
…101110010010101110000
3111201002220112000202200220
4320111210311302111300
51001412221040330440
612122304543013040
7546463215361365
oct70254465622560
914632815022626
103871457355120
11126296a825a63
1252639329a180
132210ccb34814
14d554563646c
156aa8b06a8d0
hex38564d72570

3871457355120 has 160 divisors (see below), whose sum is σ = 12045428239680. Its totient is φ = 1028617420800.

The previous prime is 3871457355043. The next prime is 3871457355137. The reversal of 3871457355120 is 215537541783.

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, 84379546 + ... + 84425414.

It is an arithmetic number, because the mean of its divisors is an integer number (75283926498).

Almost surely, 23871457355120 is an apocalyptic number.

3871457355120 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 3871457355120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6022714119840).

3871457355120 is an abundant number, since it is smaller than the sum of its proper divisors (8173970884560).

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

3871457355120 is a wasteful number, since it uses less digits than its factorization.

3871457355120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47163 (or 47157 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 3871457355120 in words is "three trillion, eight hundred seventy-one billion, four hundred fifty-seven million, three hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 401 802 877 1203 1604 1754 2005 2406 2631 3208 3508 4010 4385 4812 5262 6015 6416 7016 8020 8770 9624 10524 12030 13155 14032 16040 17540 19248 21048 24060 26310 32080 35080 42096 45869 48120 52620 70160 91738 96240 105240 137607 183476 210480 229345 275214 351677 366952 458690 550428 688035 703354 733904 917380 1055031 1100856 1376070 1406708 1758385 1834760 2110062 2201712 2752140 2813416 3516770 3669520 4220124 5275155 5504280 5626832 7033540 8440248 10550310 11008560 14067080 16880496 18393469 21100620 28134160 36786938 40227113 42201240 55180407 73573876 80454226 84402480 91967345 110360814 120681339 147147752 160908452 183934690 201135565 220721628 241362678 275902035 294295504 321816904 367869380 402271130 441443256 482725356 551804070 603406695 643633808 735738760 804542260 882886512 965450712 1103608140 1206813390 1471477520 1609084520 1930901424 2207216280 2413626780 3218169040 4414432560 4827253560 9654507120 16131072313 32262144626 48393216939 64524289252 80655361565 96786433878 129048578504 161310723130 193572867756 241966084695 258097157008 322621446260 387145735512 483932169390 645242892520 774291471024 967864338780 1290485785040 1935728677560 3871457355120