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40042062216 = 23321359971419
BaseRepresentation
bin100101010010101100…
…010110000110001000
310211100121012112000100
4211102230112012020
51124001231442331
630221200205400
72615164625112
oct452254260610
9124317175010
1040042062216
1115a88778002
127916009860
133a119bb950
141d1bdda3b2
151095544ae6
hex952b16188

40042062216 has 96 divisors (see below), whose sum is σ = 116985960000. Its totient is φ = 12299893632.

The previous prime is 40042062209. The next prime is 40042062217. The reversal of 40042062216 is 61226024004.

40042062216 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 20 + 622 + 16 = 666.

It is a super-3 number, since 3×400420622163 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40042062216.

It is not an unprimeable number, because it can be changed into a prime (40042062217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524955 + ... + 596373.

It is an arithmetic number, because the mean of its divisors is an integer number (1218603750).

Almost surely, 240042062216 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 40042062216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58492980000).

40042062216 is an abundant number, since it is smaller than the sum of its proper divisors (76943897784).

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

40042062216 is a wasteful number, since it uses less digits than its factorization.

40042062216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72043 (or 72036 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 40042062216 in words is "forty billion, forty-two million, sixty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 599 936 1198 1797 2396 3594 4792 5391 7188 7787 10782 14376 15574 21564 23361 31148 43128 46722 62296 70083 71419 93444 140166 142838 186888 214257 280332 285676 428514 560664 571352 642771 857028 928447 1285542 1714056 1856894 2571084 2785341 3713788 5142168 5570682 7427576 8356023 11141364 16712046 22282728 33424092 42779981 66848184 85559962 128339943 171119924 256679886 342239848 385019829 513359772 556139753 770039658 1026719544 1112279506 1540079316 1668419259 2224559012 3080158632 3336838518 4449118024 5005257777 6673677036 10010515554 13347354072 20021031108 40042062216