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145380538944 = 2632158872
BaseRepresentation
bin1000011101100101011…
…0101111101001000000
3111220020211010120121100
42013121112233221000
54340214404221234
6150441545254400
713334444122524
oct2073126575100
9456224116540
10145380538944
1156723584743
1224213794400
131092b50a154
147072069d84
153bad295399
hex21d95afa40

145380538944 has 63 divisors (see below), whose sum is σ = 416733296707. Its totient is φ = 48457129344.

The previous prime is 145380538939. The next prime is 145380538949. The reversal of 145380538944 is 449835083541.

It is a happy number.

The square root of 145380538944 is 381288.

It is a perfect power (a square), and thus also a powerful number.

145380538944 is a `hidden beast` number, since 14 + 5 + 3 + 8 + 0 + 538 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (145380538939) and next prime (145380538949).

It is a super-2 number, since 2×1453805389442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145380538949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9142969 + ... + 9158855.

Almost surely, 2145380538944 is an apocalyptic number.

145380538944 is the 381288-th square number.

It is an amenable number.

145380538944 is an abundant number, since it is smaller than the sum of its proper divisors (271352757763).

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

145380538944 is an frugal number, since it uses more digits than its factorization.

145380538944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31792 (or 15892 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 145380538944 in words is "one hundred forty-five billion, three hundred eighty million, five hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15887 31774 47661 63548 95322 127096 142983 190644 254192 285966 381288 508384 571932 762576 1016768 1143864 1525152 2287728 3050304 4575456 9150912 252396769 504793538 757190307 1009587076 1514380614 2019174152 2271570921 3028761228 4038348304 4543141842 6057522456 8076696608 9086283684 12115044912 16153393216 18172567368 24230089824 36345134736 48460179648 72690269472 145380538944