Search a number
-
+
422404554214350 = 23352319079806383
BaseRepresentation
bin110000000001011001011100…
…1011001111100101111001110
32001101121110222122200220101000
41200002302321121330233032
5420331134011334324400
64054213550123001130
7154654502425363221
oct14002627131745716
92041543878626330
10422404554214350
11112655846876524
123b4609ba6691a6
131519076a0b0376
1476446bd2d75b8
1533c7aa25d7600
hex1802cb967cbce

422404554214350 has 96 divisors (see below), whose sum is σ = 1163995814499840. Its totient is φ = 112637672673120.

The previous prime is 422404554214339. The next prime is 422404554214369. The reversal of 422404554214350 is 53412455404224.

422404554214350 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 0 + 4 + 554 + 2 + 1 + 43 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 422404554214296 and 422404554214305.

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, 38171259 + ... + 47977641.

It is an arithmetic number, because the mean of its divisors is an integer number (12124956401040).

Almost surely, 2422404554214350 is an apocalyptic number.

422404554214350 is an abundant number, since it is smaller than the sum of its proper divisors (741591260285490).

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

422404554214350 is a wasteful number, since it uses less digits than its factorization.

422404554214350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838311 (or 9838300 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 422404554214350 in words is "four hundred twenty-two trillion, four hundred four billion, five hundred fifty-four million, two hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 31907 63814 95721 159535 191442 287163 319070 478605 574326 797675 861489 957210 1435815 1595350 1722978 2393025 2871630 4307445 4786050 7179075 8614890 9806383 14358150 19612766 21537225 29419149 43074450 49031915 58838298 88257447 98063830 147095745 176514894 245159575 264772341 294191490 441287235 490319150 529544682 735478725 882574470 1323861705 1470957450 2206436175 2647723410 4412872350 6619308525 13238617050 312892262381 625784524762 938676787143 1564461311905 1877353574286 2816030361429 3128922623810 4693383935715 5632060722858 7822306559525 8448091084287 9386767871430 14080151807145 15644613119050 16896182168574 23466919678575 28160303614290 42240455421435 46933839357150 70400759035725 84480910842870 140801518071450 211202277107175 422404554214350