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103143011440 = 24576110927701
BaseRepresentation
bin110000000001111001…
…1010111010001110000
3100212020012202212101211
41200003303113101300
53142214102331230
6115214440405504
710310660063110
oct1400363272160
9325205685354
10103143011440
113a8195a5117
1217ba6476894
139959a16c21
144dc6653040
152a3a12c42a
hex1803cd7470

103143011440 has 160 divisors (see below), whose sum is σ = 281124328320. Its totient is φ = 34463232000.

The previous prime is 103143011437. The next prime is 103143011479. The reversal of 103143011440 is 44110341301.

It is a happy number.

It is a super-3 number, since 3×1031430114403 (a number of 34 digits) contains 333 as substring.

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, 3709590 + ... + 3737290.

It is an arithmetic number, because the mean of its divisors is an integer number (1757027052).

Almost surely, 2103143011440 is an apocalyptic number.

103143011440 is a gapful number since it is divisible by the number (10) 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 103143011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140562164160).

103143011440 is an abundant number, since it is smaller than the sum of its proper divisors (177981316880).

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

103143011440 is a wasteful number, since it uses less digits than its factorization.

103143011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27891 (or 27885 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103143011440 its reverse (44110341301), we get a palindrome (147253352741).

The spelling of 103143011440 in words is "one hundred three billion, one hundred forty-three million, eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 109 112 122 140 218 244 280 305 427 436 488 545 560 610 763 854 872 976 1090 1220 1526 1708 1744 2135 2180 2440 3052 3416 3815 4270 4360 4880 6104 6649 6832 7630 8540 8720 12208 13298 15260 17080 26596 27701 30520 33245 34160 46543 53192 55402 61040 66490 93086 106384 110804 132980 138505 186172 193907 221608 232715 265960 277010 372344 387814 443216 465430 531920 554020 744688 775628 930860 969535 1108040 1551256 1689761 1861720 1939070 2216080 3019409 3102512 3379522 3723440 3878140 6038818 6759044 7756280 8448805 11828327 12077636 13518088 15097045 15512560 16897610 21135863 23656654 24155272 27036176 30194090 33795220 42271726 47313308 48310544 59141635 60388180 67590440 84543452 94626616 105679315 118283270 120776360 135180880 169086904 184183949 189253232 211358630 236566540 241552720 338173808 368367898 422717260 473133080 736735796 845434520 920919745 946266160 1289287643 1473471592 1690869040 1841839490 2578575286 2946943184 3683678980 5157150572 6446438215 7367357960 10314301144 12892876430 14734715920 20628602288 25785752860 51571505720 103143011440