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40163301516 = 223131759256687
BaseRepresentation
bin100101011001111010…
…110101100010001100
310211200001100010001210
4211121322311202030
51124223301122031
630241210534420
72621166300342
oct453172654214
9124601303053
1040163301516
1116040155978
12794a737410
133a30b5a990
141d30159992
1510a0ee2746
hex959eb588c

40163301516 has 96 divisors (see below), whose sum is σ = 108671431680. Its totient is φ = 11433821184.

The previous prime is 40163301509. The next prime is 40163301559. The reversal of 40163301516 is 61510336104.

40163301516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401633015162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28125 + ... + 284811.

It is an arithmetic number, because the mean of its divisors is an integer number (1131994080).

Almost surely, 240163301516 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 40163301516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54335715840).

40163301516 is an abundant number, since it is smaller than the sum of its proper divisors (68508130164).

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

40163301516 is a wasteful number, since it uses less digits than its factorization.

40163301516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256783 (or 256781 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 40163301516 in words is "forty billion, one hundred sixty-three million, three hundred one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 59 68 78 102 118 156 177 204 221 236 354 442 663 708 767 884 1003 1326 1534 2006 2301 2652 3009 3068 4012 4602 6018 9204 12036 13039 26078 39117 52156 78234 156468 256687 513374 770061 1026748 1540122 3080244 3336931 4363679 6673862 8727358 10010793 13091037 13347724 15144533 17454716 20021586 26182074 30289066 40043172 45433599 52364148 56727827 60578132 90867198 113455654 170183481 181734396 196878929 226911308 257457061 340366962 393757858 514914122 590636787 680733924 772371183 787515716 1029828244 1181273574 1544742366 2362547148 3089484732 3346941793 6693883586 10040825379 13387767172 20081650758 40163301516