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152420341440 = 2635187184859
BaseRepresentation
bin1000110111110011110…
…1011101011011000000
3112120102102202121011010
42031330331131123000
54444124101411230
6154004304520520
714004055345203
oct2157475353300
9476372677133
10152420341440
1159706344534
1225659320140
13114b0b3aa63
14753cdc793a
153e713229b0
hex237cf5d6c0

152420341440 has 112 divisors (see below), whose sum is σ = 484198940160. Its totient is φ = 40623221760.

The previous prime is 152420341363. The next prime is 152420341453. The reversal of 152420341440 is 44143024251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152420341398 and 152420341407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753731 + ... + 1838589.

Almost surely, 2152420341440 is an apocalyptic number.

152420341440 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 152420341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242099470080).

152420341440 is an abundant number, since it is smaller than the sum of its proper divisors (331778598720).

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

152420341440 is a wasteful number, since it uses less digits than its factorization.

152420341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86750 (or 86740 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 152420341440 its reverse (44143024251), we get a palindrome (196563365691).

The spelling of 152420341440 in words is "one hundred fifty-two billion, four hundred twenty million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1871 3742 5613 7484 9355 11226 14968 18710 22452 28065 29936 37420 44904 56130 59872 74840 84859 89808 112260 119744 149680 169718 179616 224520 254577 299360 339436 359232 424295 449040 509154 598720 678872 848590 898080 1018308 1272885 1357744 1697180 1796160 2036616 2545770 2715488 3394360 4073232 5091540 5430976 6788720 8146464 10183080 13577440 16292928 20366160 27154880 40732320 81464640 158771189 317542378 476313567 635084756 793855945 952627134 1270169512 1587711890 1905254268 2381567835 2540339024 3175423780 3810508536 4763135670 5080678048 6350847560 7621017072 9526271340 10161356096 12701695120 15242034144 19052542680 25403390240 30484068288 38105085360 50806780480 76210170720 152420341440