Search a number
-
+
141120312030414 = 23219283443590647
BaseRepresentation
bin100000000101100100100010…
…000100011011010011001110
3200111122222012011222100211200
4200011210202010123103032
5121444103344334433124
61220045435405530330
741503414613314143
oct4005444204332316
9614588164870750
10141120312030414
1140a68874162332
12139b208ab739a6
136098785714182
1426bc38c2a23ca
15114ace32e1bc9
hex80592211b4ce

141120312030414 has 144 divisors (see below), whose sum is σ = 327326055219072. Its totient is φ = 43927930676448.

The previous prime is 141120312030407. The next prime is 141120312030461. The reversal of 141120312030414 is 414030213021141.

It is a happy number.

141120312030414 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 203 + 12 + 0 + 30 + 414 = 666.

It is a super-2 number, since 2×1411203120304142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 238629639 + ... + 239220285.

It is an arithmetic number, because the mean of its divisors is an integer number (2273097605688).

Almost surely, 2141120312030414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141120312030414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163663027609536).

141120312030414 is an abundant number, since it is smaller than the sum of its proper divisors (186205743188658).

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

141120312030414 is a wasteful number, since it uses less digits than its factorization.

141120312030414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591219 (or 591197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 141120312030414 its reverse (414030213021141), we get a palindrome (555150525051555).

The spelling of 141120312030414 in words is "one hundred forty-one trillion, one hundred twenty billion, three hundred twelve million, thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 361 443 498 722 747 886 1083 1329 1494 1577 2166 2658 3154 3249 3987 4731 6498 7974 8417 9462 14193 16834 25251 28386 29963 36769 50502 59926 73538 75753 89889 110307 151506 159923 179778 220614 269667 319846 330921 479769 539334 590647 661842 698611 959538 1181294 1397222 1439307 1771941 2095833 2878614 3543882 4191666 5315823 6287499 10631646 11222293 12574998 13273609 22444586 26547218 33666879 39820827 49023701 67333758 79641654 98047402 101000637 119462481 147071103 202001274 213223567 238924962 261656621 294142206 426447134 441213309 523313242 639670701 784969863 882426618 931450319 1279341402 1569939726 1862900638 1919012103 2354909589 2794350957 3838024206 4709819178 4971475799 5588701914 8383052871 9942951598 14914427397 16766105742 17697556061 21717499543 29828854794 35395112122 43434999086 44743282191 53092668183 65152498629 89486564382 94458040181 106185336366 130304997258 159278004549 188916080362 195457495887 283374120543 318556009098 390914991774 412632491317 566748241086 825264982634 850122361629 1237897473951 1700244723258 2475794947902 3713692421853 7427384843706 7840017335023 15680034670046 23520052005069 47040104010138 70560156015207 141120312030414