Search a number
-
+
145721488332 = 2237232931531583
BaseRepresentation
bin1000011110110110101…
…1010111001111001100
3111221010120200121020110
42013231223113033030
54341414200111312
6150535445120020
713346054133210
oct2075553271714
9457116617213
10145721488332
1156888a87aa2
12242a99b9010
1310984044954
1470a545c940
153bcd19243c
hex21edad73cc

145721488332 has 384 divisors, whose sum is σ = 441447874560. Its totient is φ = 36485729280.

The previous prime is 145721488321. The next prime is 145721488357. The reversal of 145721488332 is 233884127541.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 92053213 + ... + 92054795.

It is an arithmetic number, because the mean of its divisors is an integer number (1149603840).

Almost surely, 2145721488332 is an apocalyptic number.

145721488332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145721488332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220723937280).

145721488332 is an abundant number, since it is smaller than the sum of its proper divisors (295726386228).

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

145721488332 is a wasteful number, since it uses less digits than its factorization.

145721488332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The spelling of 145721488332 in words is "one hundred forty-five billion, seven hundred twenty-one million, four hundred eighty-eight thousand, three hundred thirty-two".