Search a number
-
+
148514860320 = 253523293071511
BaseRepresentation
bin1000101001010000101…
…1001110110100100000
3112012100020220121020020
42022110023032310200
54413124301012240
6152120552513440
713505223324651
oct2122413166440
9465306817206
10148514860320
1157a91848792
12249493ab880
131100a991098
14728c439528
153ce351d0d0
hex22942ced20

148514860320 has 384 divisors, whose sum is σ = 506975293440. Its totient is φ = 36432506880.

The previous prime is 148514860313. The next prime is 148514860337. The reversal of 148514860320 is 23068415841.

It is a happy number.

It is a super-2 number, since 2×1485148603202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98288365 + ... + 98289875.

It is an arithmetic number, because the mean of its divisors is an integer number (1320248160).

Almost surely, 2148514860320 is an apocalyptic number.

148514860320 is a gapful number since it is divisible by the number (10) 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 148514860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253487646720).

148514860320 is an abundant number, since it is smaller than the sum of its proper divisors (358460433120).

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

148514860320 is a wasteful number, since it uses less digits than its factorization.

148514860320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 148514860320 in words is "one hundred forty-eight billion, five hundred fourteen million, eight hundred sixty thousand, three hundred twenty".