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1041065021440 = 212577365761
BaseRepresentation
bin11110010011001000100…
…11111001000000000000
310200112011121111122202001
433021210103321000000
5114024100121141230
62114131512233344
7135133363450423
oct17114423710000
93615147448661
101041065021440
11371571078344
1214992269b854
1377230ba29b2
14385602499ba
151c1319c50ca
hexf2644f9000

1041065021440 has 104 divisors (see below), whose sum is σ = 2501520981048. Its totient is φ = 415880970240.

The previous prime is 1041065021429. The next prime is 1041065021441. The reversal of 1041065021440 is 441205601401.

It can be written as a sum of positive squares in 4 ways, for example, as 151016177664 + 890048843776 = 388608^2 + 943424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1041065021399 and 1041065021408.

It is not an unprimeable number, because it can be changed into a prime (1041065021441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15798160 + ... + 15863920.

Almost surely, 21041065021440 is an apocalyptic number.

1041065021440 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 1041065021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250760490524).

1041065021440 is an abundant number, since it is smaller than the sum of its proper divisors (1460455959608).

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

1041065021440 is an frugal number, since it uses more digits than its factorization.

1041065021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66563 (or 66541 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 1041065021440 in words is "one trillion, forty-one billion, sixty-five million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 773 1024 1280 1546 2048 2560 3092 3865 4096 5120 6184 7730 10240 12368 15460 20480 24736 30920 49472 61840 65761 98944 123680 131522 197888 247360 263044 328805 395776 494720 526088 657610 791552 989440 1052176 1315220 1583104 1978880 2104352 2630440 3166208 3957760 4208704 5260880 7915520 8417408 10521760 15831040 16834816 21043520 33669632 42087040 50833253 67339264 84174080 101666506 134678528 168348160 203333012 254166265 269357056 336696320 406666024 508332530 673392640 813332048 1016665060 1346785280 1626664096 2033330120 3253328192 4066660240 6506656384 8133320480 13013312768 16266640960 26026625536 32533281920 52053251072 65066563840 104106502144 130133127680 208213004288 260266255360 520532510720 1041065021440