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147406213008 = 24324130378221
BaseRepresentation
bin1000100101001000011…
…0000100111110010000
3112002110222210111000200
42021102012010332100
54403341442304013
6151414550415200
713435602065025
oct2112206047620
9462428714020
10147406213008
1157572a6763a
122469a061500
1310b920a3462
1471c50c954c
153c7b029e73
hex2252184f90

147406213008 has 120 divisors (see below), whose sum is σ = 422785007736. Its totient is φ = 47915366400.

The previous prime is 147406212973. The next prime is 147406213051. The reversal of 147406213008 is 800312604741.

It can be written as a sum of positive squares in 4 ways, for example, as 43392222864 + 104013990144 = 208308^2 + 322512^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17926338 + ... + 17934558.

Almost surely, 2147406213008 is an apocalyptic number.

147406213008 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 147406213008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211392503868).

147406213008 is an abundant number, since it is smaller than the sum of its proper divisors (275378794728).

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

147406213008 is a wasteful number, since it uses less digits than its factorization.

147406213008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 147406213008 its reverse (800312604741), we get a palindrome (947718817749).

The spelling of 147406213008 in words is "one hundred forty-seven billion, four hundred six million, two hundred thirteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 3037 5904 6074 8221 9111 12148 16442 18222 24296 24663 27333 32884 36444 48592 49326 54666 65768 72888 73989 98652 109332 124517 131536 145776 147978 197304 218664 249034 295956 337061 373551 394608 437328 498068 591912 674122 747102 996136 1011183 1120653 1183824 1348244 1494204 1992272 2022366 2241306 2696488 2988408 3033549 4044732 4482612 5392976 5976816 6067098 8089464 8965224 12134196 16178928 17930448 24268392 24967177 48536784 49934354 74901531 99868708 149803062 199737416 224704593 299606124 399474832 449409186 599212248 898818372 1023654257 1198424496 1797636744 2047308514 3070962771 3595273488 4094617028 6141925542 8189234056 9212888313 12283851084 16378468112 18425776626 24567702168 36851553252 49135404336 73703106504 147406213008