Search a number
-
+
1350606353334 = 237241500922369
BaseRepresentation
bin10011101001110110011…
…010010111001110110110
311210010011002010120020220
4103221312122113032312
5134112020211301314
62512243205235210
7166402166404200
oct23516632271666
94703132116226
101350606353334
114808750924a7
1219990b402b06
139a491678804
1449526637770
15251ebb403a9
hex13a766973b6

1350606353334 has 96 divisors (see below), whose sum is σ = 3219653253600. Its totient is φ = 376383651840.

The previous prime is 1350606353323. The next prime is 1350606353357. The reversal of 1350606353334 is 4333536060531.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60367302 + ... + 60389670.

It is an arithmetic number, because the mean of its divisors is an integer number (33538054725).

Almost surely, 21350606353334 is an apocalyptic number.

1350606353334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350606353334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609826626800).

1350606353334 is an abundant number, since it is smaller than the sum of its proper divisors (1869046900266).

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

1350606353334 is a wasteful number, since it uses less digits than its factorization.

1350606353334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27438 (or 27431 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 42.

The spelling of 1350606353334 in words is "one trillion, three hundred fifty billion, six hundred six million, three hundred fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 5009 6027 10018 12054 15027 22369 30054 35063 44738 67107 70126 105189 134214 156583 205369 210378 245441 313166 410738 469749 490882 616107 736323 917129 939498 1096081 1232214 1437583 1472646 1834258 2192162 2751387 2875166 3288243 4312749 5502774 6419903 6576486 8625498 10063081 12839806 19259709 20126162 30189243 38519418 44939321 60378486 89878642 112046321 134817963 224092642 269635926 336138963 672277926 784324247 1568648494 2352972741 4593899161 4705945482 5490269729 9187798322 10980539458 13781697483 16470809187 27563394966 32157294127 32941618374 64314588254 96471882381 192943764762 225101058889 450202117778 675303176667 1350606353334