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1041305555352 = 233414386328517
BaseRepresentation
bin11110010011100101010…
…01011101000110011000
310200112210101010001020110
433021302221131012120
5114030043210232402
62114211423524320
7135142344115446
oct17116251350630
93615711101213
101041305555352
11371684925aa7
1214998b1596a0
137726b97c85a
143858417db96
151c147b8956c
hexf272a5d198

1041305555352 has 128 divisors (see below), whose sum is σ = 2732033525760. Its totient is φ = 330365844480.

The previous prime is 1041305555351. The next prime is 1041305555401. The reversal of 1041305555352 is 2535555031401.

1041305555352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1041305555352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041305555351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36500998 + ... + 36529514.

It is an arithmetic number, because the mean of its divisors is an integer number (21344011920).

Almost surely, 21041305555352 is an apocalyptic number.

1041305555352 is a gapful number since it is divisible by the number (12) 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 1041305555352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366016762880).

1041305555352 is an abundant number, since it is smaller than the sum of its proper divisors (1690727970408).

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

1041305555352 is a wasteful number, since it uses less digits than its factorization.

1041305555352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29473 (or 29469 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 39.

The spelling of 1041305555352 in words is "one trillion, forty-one billion, three hundred five million, five hundred fifty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 863 984 1032 1726 1763 2589 3452 3526 5178 5289 6904 7052 10356 10578 14104 20712 21156 28517 35383 37109 42312 57034 70766 74218 85551 106149 111327 114068 141532 148436 171102 212298 222654 228136 283064 296872 342204 424596 445308 684408 849192 890616 1169197 1226231 1521469 2338394 2452462 3042938 3507591 3678693 4564407 4676788 4904924 6085876 7015182 7357386 9128814 9353576 9809848 12171752 14030364 14714772 18257628 24610171 28060728 29429544 36515256 49220342 50275471 73830513 98440684 100550942 147661026 150826413 196881368 201101884 295322052 301652826 402203768 590644104 603305652 1009017011 1058237353 1206611304 2018034022 2116474706 3027051033 3174712059 4036068044 4232949412 6054102066 6349424118 8072136088 8465898824 12108204132 12698848236 24216408264 25397696472 43387731473 86775462946 130163194419 173550925892 260326388838 347101851784 520652777676 1041305555352