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148449853440 = 21634571747
BaseRepresentation
bin1000101001000001001…
…1010000000000000000
3112012011201120220120000
42022100103100000000
54413011130302230
6152110311320000
713503503635350
oct2122023200000
9465151526500
10148449853440
1157a59088099
122492b680000
1310cca380185
147283956b60
153cdc97bb60
hex22904d0000

148449853440 has 1360 divisors, whose sum is σ = 657728957952. Its totient is φ = 31255953408.

The previous prime is 148449853397. The next prime is 148449853441. The reversal of 148449853440 is 44358944841.

148449853440 is a `hidden beast` number, since 1 + 4 + 84 + 49 + 85 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148449853441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3158507497 + ... + 3158507543.

Almost surely, 2148449853440 is an apocalyptic number.

148449853440 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 148449853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328864478976).

148449853440 is an abundant number, since it is smaller than the sum of its proper divisors (509279104512).

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

148449853440 is an frugal number, since it uses more digits than its factorization.

148449853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 148449853440 in words is "one hundred forty-eight billion, four hundred forty-nine million, eight hundred fifty-three thousand, four hundred forty".