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1145512014460 = 22511167181172259
BaseRepresentation
bin10000101010110101110…
…101100011001001111100
311001111202200221122120221
4100222311311203021330
5122232002033430320
62234124013551124
7145521566316232
oct20526565431174
94044680848527
101145512014460
1140189973a090
121660117a54a4
1384037ab9c48
143d62bb38952
151ebe632c3aa
hex10ab5d6327c

1145512014460 has 96 divisors (see below), whose sum is σ = 2654578967040. Its totient is φ = 411765523200.

The previous prime is 1145512014457. The next prime is 1145512014473. The reversal of 1145512014460 is 644102155411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6563811 + ... + 6736069.

It is an arithmetic number, because the mean of its divisors is an integer number (27651864240).

Almost surely, 21145512014460 is an apocalyptic number.

1145512014460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145512014460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327289483520).

1145512014460 is an abundant number, since it is smaller than the sum of its proper divisors (1509066952580).

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

1145512014460 is a wasteful number, since it uses less digits than its factorization.

1145512014460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172627 (or 172625 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

Adding to 1145512014460 its reverse (644102155411), we get a palindrome (1789614169871).

The spelling of 1145512014460 in words is "one trillion, one hundred forty-five billion, five hundred twelve million, fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 181 220 334 362 668 724 835 905 1670 1810 1837 1991 3340 3620 3674 3982 7348 7964 9185 9955 18370 19910 30227 36740 39820 60454 120908 151135 172259 302270 332497 344518 604540 664994 689036 861295 1329988 1662485 1722590 1894849 3324970 3445180 3789698 6649940 7579396 9474245 18948490 28767253 31178879 37896980 57534506 62357758 115069012 124715516 143836265 155894395 287672530 311788790 316439783 342967669 575345060 623577580 632879566 685935338 1265759132 1371870676 1582198915 1714838345 3164397830 3429676690 5206872793 6328795660 6859353380 10413745586 20827491172 26034363965 52068727930 57275600723 104137455860 114551201446 229102402892 286378003615 572756007230 1145512014460