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1034512141040 = 24574191149459
BaseRepresentation
bin11110000110111011011…
…10101000101011110000
310122220020221002211201222
433003131232220223300
5113422140102003130
62111125345244212
7134512114053020
oct17033556505360
93586227084658
101034512141040
11369809152304
121485b4033668
13767283c8681
14380dbc3ba80
151bd9b57ace5
hexf0ddba8af0

1034512141040 has 160 divisors (see below), whose sum is σ = 2819039569920. Its totient is φ = 345652070400.

The previous prime is 1034512140979. The next prime is 1034512141049. The reversal of 1034512141040 is 401412154301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034512141049) 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, 20891831 + ... + 20941289.

It is an arithmetic number, because the mean of its divisors is an integer number (17618997312).

Almost surely, 21034512141040 is an apocalyptic number.

1034512141040 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 1034512141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409519784960).

1034512141040 is an abundant number, since it is smaller than the sum of its proper divisors (1784527428880).

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

1034512141040 is a wasteful number, since it uses less digits than its factorization.

1034512141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50431 (or 50425 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 1034512141040 its reverse (401412154301), we get a palindrome (1435924295341).

The spelling of 1034512141040 in words is "one trillion, thirty-four billion, five hundred twelve million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 911 1148 1435 1640 1822 2296 2870 3280 3644 4555 4592 5740 6377 7288 9110 11480 12754 14576 18220 22960 25508 31885 36440 37351 49459 51016 63770 72880 74702 98918 102032 127540 149404 186755 197836 247295 255080 261457 298808 346213 373510 395672 494590 510160 522914 597616 692426 747020 791344 989180 1045828 1307285 1384852 1494040 1731065 1978360 2027819 2091656 2614570 2769704 2988080 3462130 3956720 4055638 4183312 5229140 5539408 6924260 8111276 10139095 10458280 13848520 14194733 16222552 20278190 20916560 27697040 28389466 32445104 40556380 45057149 56778932 70973665 81112760 90114298 113557864 141947330 162225520 180228596 225285745 227115728 283894660 315400043 360457192 450571490 567789320 630800086 720914384 901142980 1135578640 1261600172 1577000215 1802285960 1847343109 2523200344 3154000430 3604571920 3694686218 5046400688 6308000860 7389372436 9236715545 12616001720 12931401763 14778744872 18473431090 25232003440 25862803526 29557489744 36946862180 51725607052 64657008815 73893724360 103451214104 129314017630 147787448720 206902428208 258628035260 517256070520 1034512141040