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130434011233024 = 2811313273397829
BaseRepresentation
bin11101101010000100001000…
…111001111111101100000000
3122002211100222111201022101211
4131222010020321333230000
5114044012323333424044
61141224320232535504
736321355251261322
oct3552041071775400
9562740874638354
10130434011233024
1138618831a2a374
1212766b9a551594
1357a1b4a310b85
14242d07b405612
151012d4bd0e634
hex76a108e7fb00

130434011233024 has 72 divisors (see below), whose sum is σ = 262860586752960. Its totient is φ = 64591133687808.

The previous prime is 130434011232983. The next prime is 130434011233063. The reversal of 130434011233024 is 420332110434031.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36688542 + ... + 40086370.

It is an arithmetic number, because the mean of its divisors is an integer number (3650841482680).

Almost surely, 2130434011233024 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 130434011233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131430293376480).

130434011233024 is an abundant number, since it is smaller than the sum of its proper divisors (132426575519936).

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

130434011233024 is a wasteful number, since it uses less digits than its factorization.

130434011233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3399285 (or 3399271 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 130434011233024 its reverse (420332110434031), we get a palindrome (550766121667055).

The spelling of 130434011233024 in words is "one hundred thirty trillion, four hundred thirty-four billion, eleven million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1327 1808 2654 3616 5308 7232 10616 14464 21232 28928 42464 84928 149951 169856 299902 339712 599804 1199608 2399216 3397829 4798432 6795658 9596864 13591316 19193728 27182632 38387456 54365264 108730528 217461056 383954677 434922112 767909354 869844224 1535818708 3071637416 4508919083 6143274832 9017838166 12286549664 18035676332 24573099328 36071352664 49146198656 72142705328 98292397312 144285410656 288570821312 509507856379 577141642624 1019015712758 1154283285248 2038031425516 4076062851032 8152125702064 16304251404128 32608502808256 65217005616512 130434011233024