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40320413234103 = 323375311322711617
BaseRepresentation
bin10010010101011110100111…
…11010000111001110110111
312021202121000220221202221010
421022233103322013032313
520241102201241442403
6221430535255523303
711331024266434212
oct1112572372071667
9167677026852833
1040320413234103
1111935878135282
124632448989533
131966277597202
149d5738750779
1549dc5e571603
hex24abd3e873b7

40320413234103 has 128 divisors (see below), whose sum is σ = 59486670231552. Its totient is φ = 24218184646656.

The previous prime is 40320413234041. The next prime is 40320413234111. The reversal of 40320413234103 is 30143231402304.

It is a happy number.

It is not a de Polignac number, because 40320413234103 - 224 = 40320396456887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40320413230103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3470805351 + ... + 3470816967.

It is an arithmetic number, because the mean of its divisors is an integer number (464739611184).

Almost surely, 240320413234103 is an apocalyptic number.

40320413234103 is a deficient number, since it is larger than the sum of its proper divisors (19166256997449).

40320413234103 is a wasteful number, since it uses less digits than its factorization.

40320413234103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 40320413234103 its reverse (30143231402304), we get a palindrome (70463644636407).

The spelling of 40320413234103 in words is "forty trillion, three hundred twenty billion, four hundred thirteen million, two hundred thirty-four thousand, one hundred three".

Divisors: 1 3 23 37 53 69 111 113 159 227 339 681 851 1219 1961 2553 2599 3657 4181 5221 5883 5989 7797 8399 11617 12031 12543 15663 17967 25197 25651 34851 36093 45103 76953 96163 135309 137747 193177 221593 267191 276713 288489 413241 429829 445147 579531 589973 615701 664779 801573 830139 949087 1289487 1312721 1335441 1359503 1769919 1847103 2637059 2847261 3938163 4078509 5096639 7911177 9886067 10238381 14161123 15289917 21829001 22780937 29658201 30192583 30715143 31268569 42483369 48570677 50301611 60652357 65487003 68342811 69574213 90577749 93805707 97571183 139764127 145712031 150904833 181957071 208722639 292713549 297987667 419292381 523961551 893963001 1117125571 1156937053 1571884653 1600206899 2244137209 2574245881 3214574921 3351376713 3470811159 4800620697 5171272699 6732411627 6853716341 7722737643 9643724763 11025543679 15513818097 15793346351 20561149023 33076631037 47380039053 59207655263 118939272077 177622965789 253587504617 356817816231 363246966073 584353814987 760762513851 1089740898219 1753061444961 13440137744701 40320413234103