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40016711016752 = 2417416195796929
BaseRepresentation
bin10010001100101000111011…
…10110000110000100110000
312020200120010101122121201212
421012110131312012010300
520221113211010014002
6221035231231215252
711300053255251131
oct1106243566060460
9166616111577655
1040016711016752
1111828aa0154318
1245a360b677528
131943737749662
149c4b67a51c88
15495dd6d5e352
hex24651dd86130

40016711016752 has 80 divisors (see below), whose sum is σ = 84231247917600. Its totient is φ = 18342407700480.

The previous prime is 40016711016713. The next prime is 40016711016781. The reversal of 40016711016752 is 25761011761004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4004624 + ... + 9801552.

It is an arithmetic number, because the mean of its divisors is an integer number (1052890598970).

Almost surely, 240016711016752 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 40016711016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42115623958800).

40016711016752 is an abundant number, since it is smaller than the sum of its proper divisors (44214536900848).

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

40016711016752 is a wasteful number, since it uses less digits than its factorization.

40016711016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5797614 (or 5797608 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

Adding to 40016711016752 its reverse (25761011761004), we get a palindrome (65777722777756).

The spelling of 40016711016752 in words is "forty trillion, sixteen billion, seven hundred eleven million, sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 619 656 697 1238 1394 2476 2788 4952 5576 9904 10523 11152 21046 25379 42092 50758 84184 101516 168368 203032 406064 431443 862886 1725772 3451544 5796929 6903088 11593858 23187716 46375432 92750864 98547793 197095586 237674089 394191172 475348178 788382344 950696356 1576764688 1901392712 3588299051 3802785424 4040459513 7176598102 8080919026 14353196204 16161838052 28706392408 32323676104 57412784816 61001083867 64647352208 122002167734 147120261091 244004335468 294240522182 488008670936 588481044364 976017341872 1176962088728 2353924177456 2501044438547 5002088877094 10004177754188 20008355508376 40016711016752