Search a number
-
+
1350440612244 = 2234231671085141
BaseRepresentation
bin10011101001101100100…
…010000111000110010100
311210002201112021001020000
4103221230202013012110
5134111200244042434
62512214525011300
7166365114544053
oct23515442070624
94702645231200
101350440612244
1148079a579799
121998839b3b30
139a466227b69
144950c61239a
15251dc301b99
hex13a6c887194

1350440612244 has 120 divisors (see below), whose sum is σ = 3705872784768. Its totient is φ = 427996578240.

The previous prime is 1350440612177. The next prime is 1350440612303. The reversal of 1350440612244 is 4422160440531.

1350440612244 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 406 + 1 + 2 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1350440612199 and 1350440612208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 701914 + ... + 1787054.

Almost surely, 21350440612244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350440612244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852936392384).

1350440612244 is an abundant number, since it is smaller than the sum of its proper divisors (2355432172524).

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

1350440612244 is a wasteful number, since it uses less digits than its factorization.

1350440612244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085347 (or 1085336 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 1350440612244 in words is "one trillion, three hundred fifty billion, four hundred forty million, six hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 167 207 276 324 334 414 501 621 668 828 1002 1242 1503 1863 2004 2484 3006 3726 3841 4509 6012 7452 7682 9018 11523 13527 15364 18036 23046 27054 34569 46092 54108 69138 103707 138276 207414 311121 414828 622242 1085141 1244484 2170282 3255423 4340564 6510846 9766269 13021692 19532538 24958243 29298807 39065076 49916486 58597614 74874729 87896421 99832972 117195228 149749458 175792842 181218547 224624187 299498916 351585684 362437094 449248374 543655641 673872561 724874188 898496748 1087311282 1347745122 1630966923 2021617683 2174622564 2695490244 3261933846 4043235366 4168026581 4892900769 6523867692 8086470732 8336053162 9785801538 12504079743 14678702307 16672106324 19571603076 25008159486 29357404614 37512239229 50016318972 58714809228 75024478458 112536717687 150048956916 225073435374 337610153061 450146870748 675220306122 1350440612244