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40120311024 = 24321518572153
BaseRepresentation
bin100101010111010110…
…110101110011110000
310211120001102222012100
4211113112311303300
51124131244423044
630233033300400
72620135005543
oct452726656360
9124501388170
1040120311024
1116018962542
127938264700
133a24c87c11
141d2856885a
15109c34e869
hex9575b5cf0

40120311024 has 120 divisors (see below), whose sum is σ = 113209173792. Its totient is φ = 13263206400.

The previous prime is 40120311017. The next prime is 40120311031. The reversal of 40120311024 is 42011302104.

It is an interprime number because it is at equal distance from previous prime (40120311017) and next prime (40120311031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40120310988 and 40120311006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18633532 + ... + 18635684.

Almost surely, 240120311024 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 40120311024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56604586896).

40120311024 is an abundant number, since it is smaller than the sum of its proper divisors (73088862768).

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

40120311024 is a wasteful number, since it uses less digits than its factorization.

40120311024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40120311024 its reverse (42011302104), we get a palindrome (82131613128).

The spelling of 40120311024 in words is "forty billion, one hundred twenty million, three hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 857 906 1208 1359 1714 1812 2153 2416 2571 2718 3428 3624 4306 5142 5436 6459 6856 7248 7713 8612 10284 10872 12918 13712 15426 17224 19377 20568 21744 25836 30852 34448 38754 41136 51672 61704 77508 103344 123408 129407 155016 258814 310032 325103 388221 517628 650206 776442 975309 1035256 1164663 1300412 1552884 1845121 1950618 2070512 2329326 2600824 2925927 3105768 3690242 3901236 4658652 5201648 5535363 5851854 6211536 7380484 7802472 9317304 11070726 11703708 14760968 15604944 16606089 18634608 22141452 23407416 29521936 33212178 44282904 46814832 66424356 88565808 132848712 265697424 278613271 557226542 835839813 1114453084 1671679626 2228906168 2507519439 3343359252 4457812336 5015038878 6686718504 10030077756 13373437008 20060155512 40120311024