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40013313132 = 22313598948847
BaseRepresentation
bin100101010000111110…
…101011010001101100
310211021121002220200110
4211100332223101230
51123421402010012
630214252100020
72614365356412
oct452076532154
9124247086613
1040013313132
1115a73521431
127908464610
133a08a64160
141d182752b2
151092c6673c
hex950fab46c

40013313132 has 96 divisors (see below), whose sum is σ = 103401446400. Its totient is φ = 11966879232.

The previous prime is 40013313113. The next prime is 40013313139. The reversal of 40013313132 is 23131331004.

40013313132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40013313099 and 40013313108.

It is not an unprimeable number, because it can be changed into a prime (40013313139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794733 + ... + 843579.

It is an arithmetic number, because the mean of its divisors is an integer number (1077098400).

Almost surely, 240013313132 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 40013313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51700723200).

40013313132 is an abundant number, since it is smaller than the sum of its proper divisors (63388133268).

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

40013313132 is a wasteful number, since it uses less digits than its factorization.

40013313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49015 (or 49013 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 40013313132 its reverse (23131331004), we get a palindrome (63144644136).

It can be divided in two parts, 4001 and 3313132, that added together give a palindrome (3317133).

The spelling of 40013313132 in words is "forty billion, thirteen million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 89 118 156 177 178 236 267 354 356 534 708 767 1068 1157 1534 2301 2314 3068 3471 4602 4628 5251 6942 9204 10502 13884 15753 21004 31506 48847 63012 68263 97694 136526 146541 195388 204789 273052 293082 409578 586164 635011 819156 1270022 1905033 2540044 2881973 3810066 4347383 5763946 7620132 8645919 8694766 11527892 13042149 17291838 17389532 26084298 34583676 37465649 52168596 56515979 74931298 112396947 113031958 149862596 169547937 224793894 226063916 256495597 339095874 449587788 512991194 678191748 769486791 1025982388 1538973582 3077947164 3334442761 6668885522 10003328283 13337771044 20006656566 40013313132