Search a number
-
+
1838319423840 = 253252944021059
BaseRepresentation
bin11010110000000100011…
…000000101000101100000
320111202000122022120212200
4122300010120011011200
5220104334233030330
63524302353053200
7246546161165634
oct32600430050540
96452018276780
101838319423840
11649699431a09
12258341557200
1310447808c2b3
1464d91aacdc4
1532c43c26a60
hex1ac04605160

1838319423840 has 144 divisors (see below), whose sum is σ = 6489584665200. Its totient is φ = 473314415616.

The previous prime is 1838319423827. The next prime is 1838319423859. The reversal of 1838319423840 is 483249138381.

It is a happy number.

1838319423840 is a `hidden beast` number, since 1 + 8 + 383 + 194 + 2 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21968770 + ... + 22052289.

It is an arithmetic number, because the mean of its divisors is an integer number (45066560175).

Almost surely, 21838319423840 is an apocalyptic number.

1838319423840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1838319423840 is an abundant number, since it is smaller than the sum of its proper divisors (4651265241360).

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

1838319423840 is a wasteful number, since it uses less digits than its factorization.

1838319423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44021109 (or 44021098 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1838319423840 in words is "one trillion, eight hundred thirty-eight billion, three hundred nineteen million, four hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 44021059 88042118 132063177 176084236 220105295 264126354 352168472 396189531 440210590 528252708 660315885 704336944 792379062 880421180 1056505416 1276610711 1320631770 1408673888 1584758124 1760842360 1980947655 2113010832 2553221422 2641263540 3169516248 3521684720 3829832133 3961895310 4226021664 5106442844 5282527080 6339032496 6383053555 7043369440 7659664266 7923790620 10212885688 10565054160 11489496399 12678064992 12766107110 15319328532 15847581240 19149160665 20425771376 21130108320 22978992798 25532214220 30638657064 31695162480 38298321330 40851542752 45957985596 51064428440 57447481995 61277314128 63390324960 76596642660 91915971192 102128856880 114894963990 122554628256 153193285320 183831942384 204257713760 229789927980 306386570640 367663884768 459579855960 612773141280 919159711920 1838319423840