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890141141098 = 2111719319194397
BaseRepresentation
bin11001111010000001000…
…10111110100001101010
310011002121110121011022001
430331000202332201222
5104041002113003343
61520531501521214
7121211345600446
oct14750042764152
93132543534261
10890141141098
11313563517220
1212462257320a
1365c2b0b84a1
1431123cc3826
151824bc4d44d
hexcf408be86a

890141141098 has 128 divisors (see below), whose sum is σ = 1678023475200. Its totient is φ = 348669619200.

The previous prime is 890141141093. The next prime is 890141141107.

It is a happy number.

890141141098 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (890141141093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202440636 + ... + 202445032.

It is an arithmetic number, because the mean of its divisors is an integer number (13109558400).

Almost surely, 2890141141098 is an apocalyptic number.

890141141098 is a deficient number, since it is larger than the sum of its proper divisors (787882334102).

890141141098 is a wasteful number, since it uses less digits than its factorization.

890141141098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396.

The product of its (nonzero) digits is 82944, while the sum is 46.

The spelling of 890141141098 in words is "eight hundred ninety billion, one hundred forty-one million, one hundred forty-one thousand, ninety-eight".

Divisors: 1 2 11 17 19 22 31 34 38 62 187 209 323 341 374 418 527 589 646 682 919 1054 1178 1838 3553 4397 5797 6479 7106 8794 10013 10109 11594 12958 15623 17461 20026 20218 28489 31246 34922 48367 56978 74749 83543 96734 110143 136307 149498 167086 171853 192071 220286 272614 296837 313379 343706 384142 484313 541291 593674 626758 822239 918973 968626 1082582 1420231 1499377 1644478 1837946 2317219 2589833 2840462 2998754 3265207 4040843 4634438 5179666 5327443 5954201 6530414 8081686 9201947 10654886 11908402 15622541 18403894 25489409 28488163 31245082 44027161 44449273 50978818 56976326 68694331 76776017 88054322 88898546 101221417 125266133 137388662 153552034 202442834 250532266 484298771 755637641 844536187 968597542 1305192289 1377927463 1511275282 1689072374 2129524261 2380056527 2610384578 2755854926 4259048522 4760113054 14357115179 23424766871 26180621797 28714230358 40460960959 46849533742 52361243594 80921921918 445070570549 890141141098