Search a number
-
+
141442200144 = 24327711976333
BaseRepresentation
bin1000001110111010011…
…1001011001001010000
3111112002100110020102100
42003232213023021100
54304133200401034
6144551101120400
713135032602310
oct2035647131120
9445070406370
10141442200144
1154a92486493
12234b4859100
13104515c786b
146bbada7440
153a2c650099
hex20ee9cb250

141442200144 has 120 divisors (see below), whose sum is σ = 458762458752. Its totient is φ = 39842853120.

The previous prime is 141442200019. The next prime is 141442200181. The reversal of 141442200144 is 441002244141.

It is a happy number.

141442200144 is a `hidden beast` number, since 1 + 4 + 1 + 442 + 200 + 14 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 916599 + ... + 1059734.

Almost surely, 2141442200144 is an apocalyptic number.

141442200144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141442200144 is an abundant number, since it is smaller than the sum of its proper divisors (317320258608).

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

141442200144 is a wasteful number, since it uses less digits than its factorization.

141442200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976425 (or 1976416 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 141442200144 its reverse (441002244141), we get a palindrome (582444444285).

The spelling of 141442200144 in words is "one hundred forty-one billion, four hundred forty-two million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1988 2556 2982 3408 3976 4473 5112 5964 7952 8946 10224 11928 17892 23856 35784 71568 1976333 3952666 5928999 7905332 11857998 13834331 15810664 17786997 23715996 27668662 31621328 35573994 41502993 47431992 55337324 71147988 83005986 94863984 110674648 124508979 140319643 142295976 166011972 221349296 249017958 280639286 284591952 332023944 420958929 498035916 561278572 664047888 841917858 982237501 996071832 1122557144 1262876787 1683835716 1964475002 1992143664 2245114288 2525753574 2946712503 3367671432 3928950004 5051507148 5893425006 6735342864 7857900008 8840137509 10103014296 11786850012 15715800016 17680275018 20206028592 23573700024 35360550036 47147400048 70721100072 141442200144