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1350153533240 = 235477310791943
BaseRepresentation
bin10011101001011011011…
…010111111011100111000
311210001222112001220212022
4103221123122333130320
5134110103301030430
62512130231534012
7166355030451041
oct23513332773470
94701875056768
101350153533240
11480662520016
1219980382a308
139a41b902325
14494c24438c8
15251c1ee64e5
hex13a5b6bf738

1350153533240 has 128 divisors (see below), whose sum is σ = 3174407055360. Its totient is φ = 516452189184.

The previous prime is 1350153533191. The next prime is 1350153533249. The reversal of 1350153533240 is 423353510531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1350153533240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350153533249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14638709 + ... + 14730651.

It is an arithmetic number, because the mean of its divisors is an integer number (24800055120).

Almost surely, 21350153533240 is an apocalyptic number.

1350153533240 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 1350153533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587203527680).

1350153533240 is an abundant number, since it is smaller than the sum of its proper divisors (1824253522120).

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

1350153533240 is a wasteful number, since it uses less digits than its factorization.

1350153533240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92181 (or 92177 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 1350153533240 in words is "one trillion, three hundred fifty billion, one hundred fifty-three million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 73 94 107 146 188 214 235 292 365 376 428 470 535 584 730 856 940 1070 1460 1880 2140 2920 3431 4280 5029 6862 7811 10058 13724 15622 17155 20116 25145 27448 31244 34310 39055 40232 50290 62488 68620 78110 91943 100580 137240 156220 183886 201160 312440 367117 367772 459715 734234 735544 919430 1468468 1835585 1838860 2936936 3671170 3677720 4321321 6711839 7342340 8642642 9837901 13423678 14684680 17285284 19675802 21606605 26847356 33559195 34570568 39351604 43213210 49189505 53694712 67118390 78703208 86426420 98379010 134236780 172852840 196758020 268473560 315456433 393516040 462381347 630912866 718166773 924762694 1261825732 1436333546 1577282165 1849525388 2311906735 2523651464 2872667092 3154564330 3590833865 3699050776 4623813470 5745334184 6309128660 7181667730 9247626940 12618257320 14363335460 18495253880 28726670920 33753838331 67507676662 135015353324 168769191655 270030706648 337538383310 675076766620 1350153533240