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1023302440344 = 2331937119350839
BaseRepresentation
bin11101110010000011001…
…01000001010110011000
310121211022201002001020010
432321001211001112120
5113231210411042334
62102033150401520
7133634250140622
oct16710145012630
93554281061203
101023302440344
11364a86606258
121463a5b002a0
137565cbcb492
1437757181c12
151b9423b80e9
hexee41941598

1023302440344 has 128 divisors (see below), whose sum is σ = 2768054976000. Its totient is φ = 314144676864.

The previous prime is 1023302440261. The next prime is 1023302440361. The reversal of 1023302440344 is 4430442033201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20102877 + ... + 20153715.

It is an arithmetic number, because the mean of its divisors is an integer number (21625429500).

Almost surely, 21023302440344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023302440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384027488000).

1023302440344 is an abundant number, since it is smaller than the sum of its proper divisors (1744752535656).

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

1023302440344 is a wasteful number, since it uses less digits than its factorization.

1023302440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52097 (or 52093 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1023302440344 its reverse (4430442033201), we get a palindrome (5453744473545).

The spelling of 1023302440344 in words is "one trillion, twenty-three billion, three hundred two million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1193 1406 2109 2386 2812 3579 4218 4772 5624 7158 8436 9544 14316 16872 22667 28632 44141 45334 50839 68001 88282 90668 101678 132423 136002 152517 176564 181336 203356 264846 272004 305034 353128 406712 529692 544008 610068 838679 965941 1059384 1220136 1677358 1881043 1931882 2516037 2897823 3354716 3762086 3863764 5032074 5643129 5795646 6709432 7524172 7727528 10064148 11286258 11591292 15048344 20128296 22572516 23182584 35739817 45145032 60650927 71479634 107219451 121301854 142959268 181952781 214438902 242603708 285918536 363905562 428877804 485207416 727811124 857755608 1152367613 1455622248 2244084299 2304735226 3457102839 4488168598 4609470452 6732252897 6914205678 8976337196 9218940904 13464505794 13828411356 17952674392 26929011588 27656822712 42637601681 53858023176 85275203362 127912805043 170550406724 255825610086 341100813448 511651220172 1023302440344