Search a number
-
+
150432043443144 = 233179238914657501
BaseRepresentation
bin100010001101000100110000…
…100000110010001111001000
3201201122011101202102201210220
4202031010300200302033020
5124204134311110140034
61251535305434310040
743454233162343421
oct4215046040621710
9651564352381726
10150432043443144
1143a2896484a781
1214a568a2b88320
1365c28b0a174a8
142920d42190648
15125d139046749
hex88d1308323c8

150432043443144 has 64 divisors (see below), whose sum is σ = 378339441624000. Its totient is φ = 49843004640000.

The previous prime is 150432043443083. The next prime is 150432043443163. The reversal of 150432043443144 is 441344340234051.

It is a junction number, because it is equal to n+sod(n) for n = 150432043443096 and 150432043443105.

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 15 ways as a sum of consecutive naturals, for example, 2934394 + ... + 17591894.

It is an arithmetic number, because the mean of its divisors is an integer number (5911553775375).

Almost surely, 2150432043443144 is an apocalyptic number.

It is an amenable number.

150432043443144 is an abundant number, since it is smaller than the sum of its proper divisors (227907398180856).

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

150432043443144 is a wasteful number, since it uses less digits than its factorization.

150432043443144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660078 (or 14660074 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 150432043443144 its reverse (441344340234051), we get a palindrome (591776383677195).

The spelling of 150432043443144 in words is "one hundred fifty trillion, four hundred thirty-two billion, forty-three million, four hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 179 358 537 716 1074 1432 2148 2389 4296 4778 7167 9556 14334 19112 28668 57336 427631 855262 1282893 1710524 2565786 3421048 5131572 10263144 14657501 29315002 43972503 58630004 87945006 117260008 175890012 351780024 2623692679 5247385358 7871078037 10494770716 15742156074 20989541432 31484312148 35016769889 62968624296 70033539778 105050309667 140067079556 210100619334 280134159112 420201238668 840402477336 6268001810131 12536003620262 18804005430393 25072007240524 37608010860786 50144014481048 75216021721572 150432043443144