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103324014321440 = 25511166935174851
BaseRepresentation
bin10111011111100011111111…
…001010111001111100100000
3111112211200100012200202111112
4113133203333022321330200
5102020330040131241230
61003430221421402452
730522625252530653
oct2737437712717440
9445750305622445
10103324014321440
112aa165174842a0
12b708a77409428
134586549a465b3
141b72ca233389a
15be2a64a91d95
hex5df8ff2b9f20

103324014321440 has 96 divisors (see below), whose sum is σ = 266453724882240. Its totient is φ = 37549855872000.

The previous prime is 103324014321413. The next prime is 103324014321587. The reversal of 103324014321440 is 44123410423301.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 103324014321397 and 103324014321406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14649986 + ... + 20524865.

It is an arithmetic number, because the mean of its divisors is an integer number (2775559634190).

Almost surely, 2103324014321440 is an apocalyptic number.

103324014321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103324014321440 is an abundant number, since it is smaller than the sum of its proper divisors (163129710560800).

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

103324014321440 is a wasteful number, since it uses less digits than its factorization.

103324014321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35176546 (or 35176538 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 103324014321440 its reverse (44123410423301), we get a palindrome (147447424744741).

The spelling of 103324014321440 in words is "one hundred three trillion, three hundred twenty-four billion, fourteen million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1669 1760 3338 6676 8345 13352 16690 18359 26704 33380 36718 53408 66760 73436 91795 133520 146872 183590 267040 293744 367180 587488 734360 1468720 2937440 35174851 70349702 140699404 175874255 281398808 351748510 386923361 562797616 703497020 773846722 1125595232 1406994040 1547693444 1934616805 2813988080 3095386888 3869233610 5627976160 6190773776 7738467220 12381547552 15476934440 30953868880 58706826319 61907737760 117413652638 234827305276 293534131595 469654610552 587068263190 645775089509 939309221104 1174136526380 1291550179018 1878618442208 2348273052760 2583100358036 3228875447545 4696546105520 5166200716072 6457750895090 9393092211040 10332401432144 12915501790180 20664802864288 25831003580360 51662007160720 103324014321440