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140013410301324 = 2235787312356901
BaseRepresentation
bin11111110101011101101001…
…100101011011010110001100
3200100202011002022002102200000
4133311131221211123112030
5121322434431014120244
61213441134524204300
741330430555001350
oct3765355145332614
9610664068072600
10140013410301324
1140681398a780aa
1213853653999690
136018291abc741
14268098433d460
15112c10b989169
hex7f576995b58c

140013410301324 has 144 divisors (see below), whose sum is σ = 419512265093376. Its totient is φ = 39999232728000.

The previous prime is 140013410301299. The next prime is 140013410301371. The reversal of 140013410301324 is 423103014310041.

140013410301324 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 34 + 1 + 0 + 301 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58227274 + ... + 60584174.

It is an arithmetic number, because the mean of its divisors is an integer number (2913279618704).

Almost surely, 2140013410301324 is an apocalyptic number.

140013410301324 is a gapful number since it is divisible by the number (14) 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 140013410301324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209756132546688).

140013410301324 is an abundant number, since it is smaller than the sum of its proper divisors (279498854792052).

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

140013410301324 is a wasteful number, since it uses less digits than its factorization.

140013410301324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365658 (or 2365644 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140013410301324 its reverse (423103014310041), we get a palindrome (563116424611365).

The spelling of 140013410301324 in words is "one hundred forty trillion, thirteen billion, four hundred ten million, three hundred one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 8731 17462 26193 34924 52386 61117 78579 104772 122234 157158 183351 235737 244468 314316 366702 471474 550053 707211 733404 942948 1100106 1414422 1650159 2121633 2200212 2356901 2828844 3300318 4243266 4713802 4950477 6600636 7070703 8486532 9427604 9900954 14141406 14851431 16498307 19801908 21212109 28282812 29702862 32996614 42424218 49494921 59405724 63636327 65993228 84848436 98989842 127272654 148484763 190908981 197979684 254545308 296969526 381817962 445454289 572726943 593939052 763635924 890908578 1145453886 1336362867 1781817156 2290907772 2672725734 4009088601 5345451468 8018177202 16036354404 20578102631 41156205262 61734307893 82312410524 123468615786 144046718417 185202923679 246937231572 288093436834 370405847358 432140155251 555608771037 576186873668 740811694716 864280310502 1111217542074 1296420465753 1666826313111 1728560621004 2222435084148 2592840931506 3333652626222 3889261397259 5000478939333 5185681863012 6667305252444 7778522794518 10000957878666 11667784191777 15557045589036 20001915757332 23335568383554 35003352575331 46671136767108 70006705150662 140013410301324