Search a number
-
+
244787123129802 = 231129895167278111
BaseRepresentation
bin110111101010000111110001…
…100001010000110111001010
31012002201102100111021201200020
4313222013301201100313022
5224041043012010123202
62224341352452121310
7102363200051530041
oct6752076141206712
91162642314251606
10244787123129802
1170aa66aa4685a0
1223555474306236
13a6784328ab3c6
144463a8d52b558
151d4771c8295bc
hexdea1f1850dca

244787123129802 has 128 divisors (see below), whose sum is σ = 558815558860800. Its totient is φ = 70801377292800.

The previous prime is 244787123129779. The next prime is 244787123129849. The reversal of 244787123129802 is 208921321787442.

244787123129802 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2447871231298022 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 880038727 + ... + 880316837.

It is an arithmetic number, because the mean of its divisors is an integer number (4365746553600).

Almost surely, 2244787123129802 is an apocalyptic number.

244787123129802 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244787123129802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279407779430400).

244787123129802 is an abundant number, since it is smaller than the sum of its proper divisors (314028435730998).

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

244787123129802 is a wasteful number, since it uses less digits than its factorization.

244787123129802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283412.

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 244787123129802 in words is "two hundred forty-four trillion, seven hundred eighty-seven billion, one hundred twenty-three million, one hundred twenty-nine thousand, eight hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 89 174 178 267 319 534 638 957 979 1914 1958 2581 2937 5162 5167 5874 7743 10334 15486 15501 28391 31002 56782 56837 85173 113674 149843 170346 170511 278111 299686 341022 449529 459863 556222 834333 899058 919726 1379589 1648273 1668666 2759178 3059221 3296546 4944819 5058493 6118442 8065219 9177663 9889638 10116986 13336027 15175479 16130438 18355326 24195657 24751879 26672054 30350958 40008081 48391314 49503758 74255637 80016162 88717409 146696297 148511274 177434818 266152227 272270669 293392594 440088891 532304454 544541338 717804491 816812007 880177782 1435608982 1436999537 1633624014 2153413473 2873999074 4306826946 4310998611 7895849401 8621997222 15791698802 15806994907 23687548203 31613989814 41672986573 47375096406 47420984721 83345973146 94841969442 125018959719 127892958793 250037919438 255785917586 383678876379 458402852303 767357752758 916805704606 1375208556909 1406822546723 2750417113818 2813645093446 3708895804997 4220467640169 7417791609994 8440935280338 11126687414991 22253374829982 40797853854967 81595707709934 122393561564901 244787123129802