Search a number
-
+
1350730220742 = 2327101307345731
BaseRepresentation
bin10011101001111101110…
…010111000010011000110
311210010110201012200101200
4103221331302320103012
5134112243414030432
62512303352203330
7166405232303520
oct23517562702306
94703421180350
101350730220742
11480928aa5961
12199944999546
139a4b1227b36
1449538c7ca10
152520795ba7c
hex13a7dcb84c6

1350730220742 has 96 divisors (see below), whose sum is σ = 3388793151744. Its totient is φ = 380856168000.

The previous prime is 1350730220737. The next prime is 1350730220767. The reversal of 1350730220742 is 2470220370531.

It is a junction number, because it is equal to n+sod(n) for n = 1350730220697 and 1350730220706.

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, 3734017 + ... + 4079747.

It is an arithmetic number, because the mean of its divisors is an integer number (35299928664).

Almost surely, 21350730220742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350730220742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694396575872).

1350730220742 is an abundant number, since it is smaller than the sum of its proper divisors (2038062931002).

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

1350730220742 is a wasteful number, since it uses less digits than its factorization.

1350730220742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346154 (or 346151 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 1350730220742 in words is "one trillion, three hundred fifty billion, seven hundred thirty million, two hundred twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 307 606 614 707 909 921 1414 1818 1842 2121 2149 2763 4242 4298 5526 6363 6447 12726 12894 19341 31007 38682 62014 93021 186042 217049 279063 345731 434098 558126 651147 691462 1037193 1302294 1953441 2074386 2420117 3111579 3906882 4840234 6223158 7260351 14520702 21781053 34918831 43562106 69837662 104756493 106139417 209512986 212278834 244431817 314269479 318418251 488863634 628538958 636836502 733295451 742975919 955254753 1466590902 1485951838 1910509506 2199886353 2228927757 4399772706 4457855514 6686783271 10720081117 13373566542 21440162234 32160243351 64320486702 75040567819 96480730053 150081135638 192961460106 225121703457 450243406914 675365110371 1350730220742