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1120234414432 = 25713746778167
BaseRepresentation
bin10000010011010011001…
…011001010000101100000
310222002112001200112010111
4100103103023022011200
5121323220002230212
62214343435141104
7143635311261310
oct20232313120540
93862461615114
101120234414432
113a20a8139051
121611382a4794
1381839bc9573
143c31096d440
151e2170c2ea7
hex104d32ca160

1120234414432 has 96 divisors (see below), whose sum is σ = 2544394664448. Its totient is φ = 475569447936.

The previous prime is 1120234414427. The next prime is 1120234414483. The reversal of 1120234414432 is 2344144320211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120234414394 and 1120234414403.

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, 14292213 + ... + 14370379.

It is an arithmetic number, because the mean of its divisors is an integer number (26504111088).

Almost surely, 21120234414432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120234414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272197332224).

1120234414432 is an abundant number, since it is smaller than the sum of its proper divisors (1424160250016).

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

1120234414432 is a wasteful number, since it uses less digits than its factorization.

1120234414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78788 (or 78780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1120234414432 its reverse (2344144320211), we get a palindrome (3464378734643).

The spelling of 1120234414432 in words is "one trillion, one hundred twenty billion, two hundred thirty-four million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 467 548 934 959 1096 1868 1918 2192 3269 3736 3836 4384 6538 7472 7672 13076 14944 15344 26152 30688 52304 63979 78167 104608 127958 156334 255916 312668 447853 511832 547169 625336 895706 1023664 1094338 1250672 1791412 2047328 2188676 2501344 3582824 4377352 7165648 8754704 10708879 14331296 17509408 21417758 36503989 42835516 73007978 74962153 85671032 146015956 149924306 171342064 255527923 292031912 299848612 342684128 511055846 584063824 599697224 1022111692 1168127648 1199394448 2044223384 2398788896 4088446768 5001046493 8176893536 10002092986 20004185972 35007325451 40008371944 70014650902 80016743888 140029301804 160033487776 280058603608 560117207216 1120234414432