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2434130403104 = 253137107619793
BaseRepresentation
bin100011011010111101011…
…110100101111100100000
322121200220201210100012202
4203122331132211330200
5304340044340344404
65102120222112332
7340601010021341
oct43327536457440
98550821710182
102434130403104
118593441781a4
1233390141b6a8
131486cabb62ba
1485b538780c8
15434b5e3321e
hex236bd7a5f20

2434130403104 has 96 divisors (see below), whose sum is σ = 5127967305216. Its totient is φ = 1135260610560.

The previous prime is 2434130403097. The next prime is 2434130403127. The reversal of 2434130403104 is 4013040314342.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3617432 + ... + 4237224.

It is an arithmetic number, because the mean of its divisors is an integer number (53416326096).

Almost surely, 22434130403104 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 2434130403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563983652608).

2434130403104 is an abundant number, since it is smaller than the sum of its proper divisors (2693836902112).

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

2434130403104 is a wasteful number, since it uses less digits than its factorization.

2434130403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619978 (or 619970 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2434130403104 its reverse (4013040314342), we get a palindrome (6447170717446).

The spelling of 2434130403104 in words is "two trillion, four hundred thirty-four billion, one hundred thirty million, four hundred three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 37 62 74 107 124 148 214 248 296 428 496 592 856 992 1147 1184 1712 2294 3317 3424 3959 4588 6634 7918 9176 13268 15836 18352 26536 31672 36704 53072 63344 106144 122729 126688 245458 490916 619793 981832 1239586 1963664 2479172 3927328 4958344 9916688 19213583 19833376 22932341 38427166 45864682 66317851 76854332 91729364 132635702 153708664 183458728 265271404 307417328 366917456 530542808 614834656 710902571 733834912 1061085616 1421805142 2055853381 2122171232 2453760487 2843610284 4111706762 4907520974 5687220568 8223413524 9815041948 11374441136 16446827048 19630083896 22748882272 32893654096 39260167792 65787308192 76066575097 78520335584 152133150194 304266300388 608532600776 1217065201552 2434130403104