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144314200411010 = 2573411995156773
BaseRepresentation
bin100000110100000011000100…
…101001101100101110000010
3200220222022011202102220001222
4200310003010221230232002
5122403420440301123020
61230533010050155042
742253233263522000
oct4064030451545602
9626868152386058
10144314200411010
1141a8a343961083
1214229085882a82
13626aa03315ca6
14278cbb76d3a70
1511a3e24674b25
hex8340c4a6cb82

144314200411010 has 128 divisors (see below), whose sum is σ = 311881691520000. Its totient is φ = 48029761866240.

The previous prime is 144314200410997. The next prime is 144314200411037. The reversal of 144314200411010 is 10114002413441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25406984 + ... + 30563756.

It is an arithmetic number, because the mean of its divisors is an integer number (2436575715000).

Almost surely, 2144314200411010 is an apocalyptic number.

144314200411010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144314200411010 is an abundant number, since it is smaller than the sum of its proper divisors (167567491108990).

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

144314200411010 is a wasteful number, since it uses less digits than its factorization.

144314200411010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157041 (or 5157027 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 144314200411010 its reverse (10114002413441), we get a palindrome (154428202824451).

The spelling of 144314200411010 in words is "one hundred forty-four trillion, three hundred fourteen billion, two hundred million, four hundred eleven thousand, ten".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 199 205 245 287 343 398 410 490 574 686 995 1393 1435 1715 1990 2009 2786 2870 3430 4018 6965 8159 9751 10045 13930 14063 16318 19502 20090 28126 40795 48755 57113 68257 70315 81590 97510 114226 136514 140630 285565 341285 399791 571130 682570 799582 1998955 2798537 3997910 5156773 5597074 10313546 13992685 25783865 27985370 36097411 51567730 72194822 180487055 211427693 252681877 360974110 422855386 505363754 1026197827 1057138465 1263409385 1479993851 1768773139 2052395654 2114276930 2526818770 2959987702 3537546278 5130989135 7183384789 7399969255 8843865695 10261978270 10359956957 14366769578 14799938510 17687731390 20719913914 35916923945 42074110907 50283693523 51799784785 71833847890 72519698699 84148221814 100567387046 103599569570 145039397398 210370554535 251418467615 294518776349 351985854661 362598493495 420741109070 502836935230 589037552698 703971709322 725196986990 1472593881745 1759929273305 2061631434443 2945187763490 3519858546610 4123262868886 10308157172215 14431420041101 20616314344430 28862840082202 72157100205505 144314200411010