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1023130043440 = 245109197601991
BaseRepresentation
bin11101110001101110100…
…11011000010000110000
310121210212200200101010121
432320313103120100300
5113230332242342230
62102004111340024
7133630054610011
oct16706723302060
93553780611117
101023130043440
113649a826697a
12146358221614
137563328a18b
143773c307008
151b9321b277a
hexee374d8430

1023130043440 has 160 divisors (see below), whose sum is σ = 2419240158720. Its totient is φ = 402361344000.

The previous prime is 1023130043401. The next prime is 1023130043501. The reversal of 1023130043440 is 443400313201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032421345 + ... + 1032422335.

It is an arithmetic number, because the mean of its divisors is an integer number (15120250992).

Almost surely, 21023130043440 is an apocalyptic number.

1023130043440 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 1023130043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209620079360).

1023130043440 is an abundant number, since it is smaller than the sum of its proper divisors (1396110115280).

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

1023130043440 is a wasteful number, since it uses less digits than its factorization.

1023130043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1023130043440 its reverse (443400313201), we get a palindrome (1466530356641).

The spelling of 1023130043440 in words is "one trillion, twenty-three billion, one hundred thirty million, forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 197 218 394 436 545 601 788 872 985 991 1090 1202 1576 1744 1970 1982 2180 2404 3005 3152 3940 3964 4360 4808 4955 6010 7880 7928 8720 9616 9910 12020 15760 15856 19820 21473 24040 39640 42946 48080 65509 79280 85892 107365 108019 118397 131018 171784 195227 214730 216038 236794 262036 327545 343568 390454 429460 432076 473588 524072 540095 591985 595591 655090 780908 858920 864152 947176 976135 1048144 1080190 1183970 1191182 1310180 1561816 1717840 1728304 1894352 1952270 2160380 2367940 2382364 2620360 2977955 3123632 3904540 4320760 4735880 4764728 5240720 5955910 7809080 8641520 9471760 9529456 11911820 12905273 15618160 21279743 23823640 25810546 42559486 47647280 51621092 64526365 64919419 85118972 103242184 106398715 117331427 129052730 129838838 170237944 206484368 212797430 234662854 258105460 259677676 324597095 340475888 425594860 469325708 516210920 519355352 586657135 649194190 851189720 938651416 1032421840 1038710704 1173314270 1298388380 1702379440 1877302832 2346628540 2596776760 4693257080 5193553520 9386514160 12789125543 25578251086 51156502172 63945627715 102313004344 127891255430 204626008688 255782510860 511565021720 1023130043440