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40232334012 = 2231331738821
BaseRepresentation
bin100101011110000010…
…001011001010111100
310211211212020022211220
4211132002023022330
51124343434142022
630252114313340
72622665124303
oct453602131274
9124755208756
1040232334012
1116076116022
127969888850
133a4224b000
141d393a943a
1510a70cb85c
hex95e08b2bc

40232334012 has 96 divisors (see below), whose sum is σ = 102294265920. Its totient is φ = 12306228480.

The previous prime is 40232333983. The next prime is 40232334013. The reversal of 40232334012 is 21043323204.

It is a super-2 number, since 2×402323340122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40232334013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4556562 + ... + 4565382.

It is an arithmetic number, because the mean of its divisors is an integer number (1065565270).

Almost surely, 240232334012 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 40232334012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51147132960).

40232334012 is an abundant number, since it is smaller than the sum of its proper divisors (62061931908).

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

40232334012 is a wasteful number, since it uses less digits than its factorization.

40232334012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9012 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40232334012 its reverse (21043323204), we get a palindrome (61275657216).

The spelling of 40232334012 in words is "forty billion, two hundred thirty-two million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 173 338 346 507 519 676 692 1014 1038 2028 2076 2197 2249 4394 4498 6591 6747 8788 8821 8996 13182 13494 17642 26364 26463 26988 29237 35284 52926 58474 87711 105852 114673 116948 175422 229346 344019 350844 380081 458692 688038 760162 1140243 1376076 1490749 1520324 1526033 2280486 2981498 3052066 4472247 4560972 4578099 5962996 6104132 8944494 9156198 17888988 18312396 19379737 19838429 38759474 39676858 58139211 59515287 77518948 79353716 116278422 119030574 232556844 238061148 257899577 515799154 773698731 1031598308 1547397462 3094794924 3352694501 6705389002 10058083503 13410778004 20116167006 40232334012