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145323397440 = 263251321272351
BaseRepresentation
bin1000011101010111110…
…0110001000101000000
3111220002211121111012100
42013111330301011000
54340110242204230
6150432144430400
713333151332314
oct2072574610500
9456084544170
10145323397440
11566a42a6461
12241b8618400
131091c721300
147068633b44
153ba8259660
hex21d5f31140

145323397440 has 504 divisors, whose sum is σ = 545753714688. Its totient is φ = 35475148800.

The previous prime is 145323397421. The next prime is 145323397459. The reversal of 145323397440 is 44793323541.

145323397440 is a `hidden beast` number, since 1 + 4 + 532 + 3 + 3 + 9 + 74 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (145323397421) and next prime (145323397459).

It is a super-2 number, since 2×1453233974402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61812265 + ... + 61814615.

It is an arithmetic number, because the mean of its divisors is an integer number (1082844672).

Almost surely, 2145323397440 is an apocalyptic number.

145323397440 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 145323397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272876857344).

145323397440 is an abundant number, since it is smaller than the sum of its proper divisors (400430317248).

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

145323397440 is a wasteful number, since it uses less digits than its factorization.

145323397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 145323397440 in words is "one hundred forty-five billion, three hundred twenty-three million, three hundred ninety-seven thousand, four hundred forty".