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215435121240 = 233531277209071
BaseRepresentation
bin1100100010100011101…
…1110001001001011000
3202121002001012002022110
43020220323301021120
512012202342334430
6242545230152320
721364453213323
oct3105073611130
9677061162273
10215435121240
1183402567249
12359049526a0
1317414055801
14a5da00d7ba
15590d5887b0
hex3228ef1258

215435121240 has 128 divisors (see below), whose sum is σ = 669565624320. Its totient is φ = 55395187200.

The previous prime is 215435121217. The next prime is 215435121283. The reversal of 215435121240 is 42121534512.

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 = 215435121198 and 215435121207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925905 + ... + 1134975.

It is an arithmetic number, because the mean of its divisors is an integer number (5230981440).

Almost surely, 2215435121240 is an apocalyptic number.

215435121240 is a gapful number since it is divisible by the number (20) 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 215435121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334782812160).

215435121240 is an abundant number, since it is smaller than the sum of its proper divisors (454130503080).

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

215435121240 is a wasteful number, since it uses less digits than its factorization.

215435121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209393 (or 209389 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 215435121240 its reverse (42121534512), we get a palindrome (257556655752).

The spelling of 215435121240 in words is "two hundred fifteen billion, four hundred thirty-five million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 277 310 372 465 554 620 744 831 930 1108 1240 1385 1662 1860 2216 2770 3324 3720 4155 5540 6648 8310 8587 11080 16620 17174 25761 33240 34348 42935 51522 68696 85870 103044 128805 171740 206088 209071 257610 343480 418142 515220 627213 836284 1030440 1045355 1254426 1672568 2090710 2508852 3136065 4181420 5017704 6272130 6481201 8362840 12544260 12962402 19443603 25088520 25924804 32406005 38887206 51849608 57912667 64812010 77774412 97218015 115825334 129624020 155548824 173738001 194436030 231650668 259248040 289563335 347476002 388872060 463301336 579126670 694952004 777744120 868690005 1158253340 1389904008 1737380010 1795292677 2316506680 3474760020 3590585354 5385878031 6949520040 7181170708 8976463385 10771756062 14362341416 17952926770 21543512124 26929390155 35905853540 43087024248 53858780310 71811707080 107717560620 215435121240