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148080147408 = 2434257444589
BaseRepresentation
bin1000100111101001000…
…0111011101111010000
3112011012221220220020000
42021322100323233100
54411232004204113
6152005503250000
713461364325244
oct2117220735720
9464187826200
10148080147408
1157889423516
12248478a9900
1310c6b8b75cb
14724a7da424
153cba29e373
hex227a43bbd0

148080147408 has 100 divisors (see below), whose sum is σ = 430255529220. Its totient is φ = 49167876096.

The previous prime is 148080147361. The next prime is 148080147443. The reversal of 148080147408 is 804741080841.

It is a happy number.

148080147408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 95029159824 + 53050987584 = 308268^2 + 230328^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 110778 + ... + 555366.

Almost surely, 2148080147408 is an apocalyptic number.

148080147408 is a gapful number since it is divisible by the number (18) 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 148080147408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215127764610).

148080147408 is an abundant number, since it is smaller than the sum of its proper divisors (282175381812).

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

148080147408 is a wasteful number, since it uses less digits than its factorization.

148080147408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444866 (or 444851 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 148080147408 in words is "one hundred forty-eight billion, eighty million, one hundred forty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 257 324 432 514 648 771 1028 1296 1542 2056 2313 3084 4112 4626 6168 6939 9252 12336 13878 18504 20817 27756 37008 41634 55512 83268 111024 166536 333072 444589 889178 1333767 1778356 2667534 3556712 4001301 5335068 7113424 8002602 10670136 12003903 16005204 21340272 24007806 32010408 36011709 48015612 64020816 72023418 96031224 114259373 144046836 192062448 228518746 288093672 342778119 457037492 576187344 685556238 914074984 1028334357 1371112476 1828149968 2056668714 2742224952 3085003071 4113337428 5484449904 6170006142 8226674856 9255009213 12340012284 16453349712 18510018426 24680024568 37020036852 49360049136 74040073704 148080147408