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1023231450432 = 26373112964663
BaseRepresentation
bin11101110001111010101…
…10001101110101000000
310121211010202111101101010
432320331112031311000
5113231034222403212
62102022133040520
7133632425552142
oct16707526156500
93554122441333
101023231450432
11364a4a529504
12146386186140
137564b2a4209
143774b982c92
151b93b04403c
hexee3d58dd40

1023231450432 has 112 divisors (see below), whose sum is σ = 2746859469440. Its totient is φ = 336101695488.

The previous prime is 1023231450377. The next prime is 1023231450469. The reversal of 1023231450432 is 2340541323201.

It is a self number, because there is not a number n which added to its sum of digits gives 1023231450432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15791733 + ... + 15856395.

Almost surely, 21023231450432 is an apocalyptic number.

1023231450432 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 1023231450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373429734720).

1023231450432 is an abundant number, since it is smaller than the sum of its proper divisors (1723628019008).

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

1023231450432 is a wasteful number, since it uses less digits than its factorization.

1023231450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65880 (or 65870 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1023231450432 its reverse (2340541323201), we get a palindrome (3363772773633).

The spelling of 1023231450432 in words is "one trillion, twenty-three billion, two hundred thirty-one million, four hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1129 1168 1752 2258 2336 3387 3504 4516 4672 6774 7008 9032 13548 14016 18064 27096 36128 54192 64663 72256 82417 108384 129326 164834 193989 216768 247251 258652 329668 387978 494502 517304 659336 775956 989004 1034608 1318672 1551912 1978008 2069216 2637344 3103824 3956016 4138432 4720399 5274688 6207648 7912032 9440798 12415296 14161197 15824064 18881596 28322394 37763192 56644788 73004527 75526384 113289576 146009054 151052768 219013581 226579152 292018108 302105536 438027162 453158304 584036216 876054324 906316608 1168072432 1752108648 2336144864 3504217296 4672289728 5329330471 7008434592 10658660942 14016869184 15987991413 21317321884 31975982826 42634643768 63951965652 85269287536 127903931304 170538575072 255807862608 341077150144 511615725216 1023231450432