Search a number
-
+
149253822480 = 2435788841561
BaseRepresentation
bin1000101100000000111…
…0001001100000010000
3112021020202101202202010
42023000032021200100
54421132434304410
6152322151222520
713532435362410
oct2130016114020
9467222352663
10149253822480
1158330989a14
1224b14977a40
13110c7ac27b9
14731c636640
153d38339c20
hex22c0389810

149253822480 has 80 divisors (see below), whose sum is σ = 528784977024. Its totient is φ = 34115159040.

The previous prime is 149253822469. The next prime is 149253822541. The reversal of 149253822480 is 84228352941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44419101 + ... + 44422460.

Almost surely, 2149253822480 is an apocalyptic number.

149253822480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149253822480 is an abundant number, since it is smaller than the sum of its proper divisors (379531154544).

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

149253822480 is a wasteful number, since it uses less digits than its factorization.

149253822480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88841584 (or 88841578 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 149253822480 in words is "one hundred forty-nine billion, two hundred fifty-three million, eight hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 88841561 177683122 266524683 355366244 444207805 533049366 621890927 710732488 888415610 1066098732 1243781854 1332623415 1421464976 1776831220 1865672781 2132197464 2487563708 2665246830 3109454635 3553662440 3731345562 4264394928 4975127416 5330493660 6218909270 7107324880 7462691124 9328363905 9950254832 10660987320 12437818540 14925382248 18656727810 21321974640 24875637080 29850764496 37313455620 49751274160 74626911240 149253822480