Search a number
-
+
144100123220022 = 2371587991581491
BaseRepresentation
bin100000110000111011101100…
…101010000001100000110110
3200220012211121100102210212120
4200300323230222001200312
5122341414023021020042
61230250403245100410
742231614246442564
oct4060735452014066
9626184540383776
10144100123220022
1141a07578969a42
12141b369b857706
1362537776cc308
1427826a9ba4a34
15119d595420dec
hex830eeca81836

144100123220022 has 64 divisors (see below), whose sum is σ = 293053211394048. Its totient is φ = 47228385204000.

The previous prime is 144100123219991. The next prime is 144100123220057. The reversal of 144100123220022 is 220022321001441.

It is a junction number, because it is equal to n+sod(n) for n = 144100123219974 and 144100123220001.

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, 247520697 + ... + 248102187.

It is an arithmetic number, because the mean of its divisors is an integer number (4578956428032).

Almost surely, 2144100123220022 is an apocalyptic number.

144100123220022 is an abundant number, since it is smaller than the sum of its proper divisors (148953088174026).

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

144100123220022 is a wasteful number, since it uses less digits than its factorization.

144100123220022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583145.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 144100123220022 its reverse (220022321001441), we get a palindrome (364122444221463).

The spelling of 144100123220022 in words is "one hundred forty-four trillion, one hundred billion, one hundred twenty-three million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 71 142 213 426 587 991 1174 1761 1982 2973 3522 5946 41677 70361 83354 125031 140722 211083 250062 422166 581491 581717 1162982 1163434 1744473 1745151 3488946 3490302 41285861 41301907 82571722 82603814 123857583 123905721 247715166 247811442 341335217 576257581 682670434 1024005651 1152515162 1728772743 2048011302 3457545486 24234800407 40914288251 48469600814 72704401221 81828576502 122742864753 145408802442 245485729506 338263200047 676526400094 1014789600141 2029579200282 24016687203337 48033374406674 72050061610011 144100123220022