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135331420440 = 23351999564163
BaseRepresentation
bin111111000001001100…
…0011001100100011000
3110221022110221110120010
41332002120121210120
54204124320423230
6142100450001520
712530432044116
oct1760230314430
9427273843503
10135331420440
1152437071227
122228a2762a0
13c9b95b2898
14679b59cab6
1537c0e339b0
hex1f82619918

135331420440 has 64 divisors (see below), whose sum is σ = 406198080000. Its totient is φ = 36070261632.

The previous prime is 135331420369. The next prime is 135331420457. The reversal of 135331420440 is 44024133531.

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 = 135331420398 and 135331420407.

It is a congruent number.

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, 42202 + ... + 521961.

It is an arithmetic number, because the mean of its divisors is an integer number (6346845000).

Almost surely, 2135331420440 is an apocalyptic number.

135331420440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135331420440 is an abundant number, since it is smaller than the sum of its proper divisors (270866659560).

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

135331420440 is a wasteful number, since it uses less digits than its factorization.

135331420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566176 (or 566172 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 135331420440 its reverse (44024133531), we get a palindrome (179355553971).

The spelling of 135331420440 in words is "one hundred thirty-five billion, three hundred thirty-one million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1999 3998 5997 7996 9995 11994 15992 19990 23988 29985 39980 47976 59970 79960 119940 239880 564163 1128326 1692489 2256652 2820815 3384978 4513304 5641630 6769956 8462445 11283260 13539912 16924890 22566520 33849780 67699560 1127761837 2255523674 3383285511 4511047348 5638809185 6766571022 9022094696 11277618370 13533142044 16916427555 22555236740 27066284088 33832855110 45110473480 67665710220 135331420440