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1031043413040 = 243523271689237
BaseRepresentation
bin11110000000011101111…
…10011111010000110000
310122120022012002012110120
433000032332133100300
5113343034103204130
62105353234330240
7134330134260264
oct17001676372060
93576265065416
101031043413040
11368299144653
121479a6429980
13762c488acb4
1437c8d2a00a4
151bc46c99910
hexf00ef9f430

1031043413040 has 160 divisors (see below), whose sum is σ = 3347513174016. Its totient is φ = 262019957760.

The previous prime is 1031043412999. The next prime is 1031043413077. The reversal of 1031043413040 is 403143401301.

1031043413040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1031043413040.

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, 1151302 + ... + 1840538.

Almost surely, 21031043413040 is an apocalyptic number.

1031043413040 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 1031043413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673756587008).

1031043413040 is an abundant number, since it is smaller than the sum of its proper divisors (2316469760976).

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

1031043413040 is a wasteful number, since it uses less digits than its factorization.

1031043413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689547 (or 689541 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1031043413040 its reverse (403143401301), we get a palindrome (1434186814341).

The spelling of 1031043413040 in words is "one trillion, thirty-one billion, forty-three million, four hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 271 276 345 368 460 542 552 690 813 920 1084 1104 1355 1380 1626 1840 2168 2710 2760 3252 4065 4336 5420 5520 6233 6504 8130 10840 12466 13008 16260 18699 21680 24932 31165 32520 37398 49864 62330 65040 74796 93495 99728 124660 149592 186990 249320 299184 373980 498640 689237 747960 1378474 1495920 2067711 2756948 3446185 4135422 5513896 6892370 8270844 10338555 11027792 13784740 15852451 16541688 20677110 27569480 31704902 33083376 41354220 47557353 55138960 63409804 79262255 82708440 95114706 126819608 158524510 165416880 186783227 190229412 237786765 253639216 317049020 373566454 380458824 475573530 560349681 634098040 747132908 760917648 933916135 951147060 1120699362 1268196080 1494265816 1867832270 1902294120 2241398724 2801748405 2988531632 3735664540 3804588240 4296014221 4482797448 5603496810 7471329080 8592028442 8965594896 11206993620 12888042663 14942658160 17184056884 21480071105 22413987240 25776085326 34368113768 42960142210 44827974480 51552170652 64440213315 68736227536 85920284420 103104341304 128880426630 171840568840 206208682608 257760853260 343681137680 515521706520 1031043413040