Search a number
-
+
401274141472104 = 2331011163142340617
BaseRepresentation
bin101101100111101001110101…
…0101010001111010101101000
31221121210102200212020020200120
41123033103222222033111220
5410043433420204101404
63541234443512403240
7150344046205512615
oct13317235252172550
91847712625206616
10401274141472104
1110694945373607a
123900974a0a6520
13142b9cb22a5bc4
147113ab480750c
15315d0dbce79d9
hex16cf4eaa8f568

401274141472104 has 64 divisors (see below), whose sum is σ = 1013989013634240. Its totient is φ = 132319836633600.

The previous prime is 401274141472079. The next prime is 401274141472181.

It is a happy number.

401274141472104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4012741414721042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68351197 + ... + 73989420.

It is an arithmetic number, because the mean of its divisors is an integer number (15843578338035).

Almost surely, 2401274141472104 is an apocalyptic number.

It is an amenable number.

401274141472104 is an abundant number, since it is smaller than the sum of its proper divisors (612714872162136).

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

401274141472104 is a wasteful number, since it uses less digits than its factorization.

401274141472104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142341890 (or 142341886 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 401274141472104 in words is "four hundred one trillion, two hundred seventy-four billion, one hundred forty-one million, four hundred seventy-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 101 202 303 404 606 808 1163 1212 2326 2424 3489 4652 6978 9304 13956 27912 117463 234926 352389 469852 704778 939704 1409556 2819112 142340617 284681234 427021851 569362468 854043702 1138724936 1708087404 3416174808 14376402317 28752804634 43129206951 57505609268 86258413902 115011218536 165542137571 172516827804 331084275142 345033655608 496626412713 662168550284 993252825426 1324337100568 1986505650852 3973011301704 16719755894671 33439511789342 50159267684013 66879023578684 100318535368026 133758047157368 200637070736052 401274141472104