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1043332413040 = 2452914914892027
BaseRepresentation
bin11110010111010110111…
…01010011011001110000
310200202000122000002021201
433023223131103121300
5114043221044204130
62115144510300544
7135243515120521
oct17135335233160
93622018002251
101043332413040
11372524a471a5
1214a255ab7754
137750286b828
14386d742a848
151c215aa4bca
hexf2eb753670

1043332413040 has 160 divisors (see below), whose sum is σ = 2529179640000. Its totient is φ = 399771746304.

The previous prime is 1043332413023. The next prime is 1043332413043. The reversal of 1043332413040 is 403142333401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1043332413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514716507 + ... + 514718533.

It is an arithmetic number, because the mean of its divisors is an integer number (15807372750).

Almost surely, 21043332413040 is an apocalyptic number.

1043332413040 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 1043332413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264589820000).

1043332413040 is an abundant number, since it is smaller than the sum of its proper divisors (1485847226960).

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

1043332413040 is a wasteful number, since it uses less digits than its factorization.

1043332413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1043332413040 its reverse (403142333401), we get a palindrome (1446474746441).

The spelling of 1043332413040 in words is "one trillion, forty-three billion, three hundred thirty-two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 149 232 290 298 464 580 596 745 1160 1192 1489 1490 2027 2320 2384 2978 2980 4054 4321 5956 5960 7445 8108 8642 10135 11912 11920 14890 16216 17284 20270 21605 23824 29780 32432 34568 40540 43181 43210 58783 59560 69136 81080 86362 86420 117566 119120 162160 172724 172840 215905 221861 235132 293915 302023 345448 345680 431810 443722 470264 587830 604046 690896 863620 887444 940528 1109305 1175660 1208092 1510115 1727240 1774888 2218610 2351320 2416184 3018203 3020230 3454480 3549776 4437220 4702640 4832368 6036406 6040460 6433969 8758667 8874440 12072812 12080920 12867938 15091015 17517334 17748880 24145624 24161840 25735876 30182030 32169845 35034668 43793335 48291248 51471752 60364060 64339690 70069336 87527887 87586670 102943504 120728120 128679380 140138672 175055774 175173340 241456240 257358760 350111548 350346680 437639435 449712247 514717520 700223096 700693360 875278870 899424494 1400446192 1750557740 1798848988 2248561235 3501115480 3597697976 4497122470 7002230960 7195395952 8994244940 13041655163 17988489880 26083310326 35976979760 52166620652 65208275815 104333241304 130416551630 208666482608 260833103260 521666206520 1043332413040