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40304400440 = 2353725711289
BaseRepresentation
bin100101100010010101…
…000101100000111000
310212000212211200101212
4211202111011200320
51130020411303230
630303211102252
72624531515433
oct454225054070
9125025750355
1040304400440
1116102868657
127989a41988
133a54161275
141d44ba881a
1510ad5b4895
hex962545838

40304400440 has 96 divisors (see below), whose sum is σ = 93437744400. Its totient is φ = 15646417920.

The previous prime is 40304400413. The next prime is 40304400443. The reversal of 40304400440 is 4400440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40304400443) 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, 31267316 + ... + 31268604.

Almost surely, 240304400440 is an apocalyptic number.

40304400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40304400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46718872200).

40304400440 is an abundant number, since it is smaller than the sum of its proper divisors (53133343960).

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

40304400440 is a wasteful number, since it uses less digits than its factorization.

40304400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 40304400440 its reverse (4400440304), we get a palindrome (44704840744).

The spelling of 40304400440 in words is "forty billion, three hundred four million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 571 740 1142 1289 1369 1480 2284 2578 2738 2855 4568 5156 5476 5710 6445 6845 10312 10952 11420 12890 13690 21127 22840 25780 27380 42254 47693 51560 54760 84508 95386 105635 169016 190772 211270 238465 381544 422540 476930 736019 781699 845080 953860 1472038 1563398 1764641 1907720 2944076 3126796 3529282 3680095 3908495 5888152 6253592 7058564 7360190 7816990 8823205 14117128 14720380 15633980 17646410 27232703 29440760 31267960 35292820 54465406 70585640 108930812 136163515 217861624 272327030 544654060 1007610011 1089308120 2015220022 4030440044 5038050055 8060880088 10076100110 20152200220 40304400440