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145122511016 = 237231492233391
BaseRepresentation
bin1000011100100111111…
…0011100100010101000
3111212120211121101211102
42013021332130202220
54334202330323031
6150400211020532
713325161663520
oct2071176344250
9455524541742
10145122511016
115660096851a
122416129a748
13108b9c166c2
147049aa0680
153b957c77cb
hex21c9f9c8a8

145122511016 has 128 divisors (see below), whose sum is σ = 328237056000. Its totient is φ = 58809611520.

The previous prime is 145122511007. The next prime is 145122511033. The reversal of 145122511016 is 610115221541.

It is a self number, because there is not a number n which added to its sum of digits gives 145122511016.

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, 42794681 + ... + 42798071.

It is an arithmetic number, because the mean of its divisors is an integer number (2564352000).

Almost surely, 2145122511016 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 145122511016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164118528000).

145122511016 is an abundant number, since it is smaller than the sum of its proper divisors (183114544984).

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

145122511016 is a wasteful number, since it uses less digits than its factorization.

145122511016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 29.

Adding to 145122511016 its reverse (610115221541), we get a palindrome (755237732557).

The spelling of 145122511016 in words is "one hundred forty-five billion, one hundred twenty-two million, five hundred eleven thousand, sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 149 161 184 223 298 322 446 596 644 892 1043 1192 1288 1561 1784 2086 3122 3391 3427 4172 5129 6244 6782 6854 8344 10258 12488 13564 13708 20516 23737 23989 27128 27416 33227 35903 41032 47474 47978 66454 71806 77993 94948 95956 132908 143612 155986 189896 191912 232589 265816 287224 311972 465178 505259 545951 623944 756193 764221 930356 1010518 1091902 1512386 1528442 1860712 2021036 2183804 3024772 3056884 3536813 4042072 4367608 5293351 5349547 6049544 6113768 7073626 10586702 10699094 11620957 14147252 17392439 21173404 21398188 23241914 28294504 34784878 42346808 42796376 46483828 69569756 81346699 92967656 112672757 121747073 139139512 162693398 225345514 243494146 325386796 450691028 486988292 650773592 788709299 901382056 973976584 1577418598 2591473411 3154837196 5182946822 6309674392 10365893644 18140313877 20731787288 36280627754 72561255508 145122511016