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40844084040 = 23325730715527
BaseRepresentation
bin100110000010011111…
…110100001101001000
310220102111100110010100
4212002133310031020
51132122041142130
630432530245400
72644103662134
oct460237641510
9126374313110
1040844084040
111635a469961
127aba726860
133b0bbcbb86
141d967303c4
1510e0b6ac60
hex9827f4348

40844084040 has 96 divisors (see below), whose sum is σ = 132769990080. Its totient is φ = 10889563776.

The previous prime is 40844083993. The next prime is 40844084081. The reversal of 40844084040 is 4048044804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40844083986 and 40844084004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2622757 + ... + 2638283.

It is an arithmetic number, because the mean of its divisors is an integer number (1383020730).

Almost surely, 240844084040 is an apocalyptic number.

40844084040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40844084040 is an abundant number, since it is smaller than the sum of its proper divisors (91925906040).

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

40844084040 is a wasteful number, since it uses less digits than its factorization.

40844084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22851 (or 22844 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40844084040 in words is "forty billion, eight hundred forty-four million, eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7307 14614 15527 21921 29228 31054 36535 43842 46581 58456 62108 65763 73070 77635 87684 93162 109605 124216 131526 139743 146140 155270 175368 186324 219210 232905 263052 279486 292280 310540 328815 372648 438420 465810 526104 558972 621080 657630 698715 876840 931620 1117944 1315260 1397430 1863240 2630520 2794860 5589720 113455789 226911578 340367367 453823156 567278945 680734734 907646312 1021102101 1134557890 1361469468 1701836835 2042204202 2269115780 2722938936 3403673670 4084408404 4538231560 5105510505 6807347340 8168816808 10211021010 13614694680 20422042020 40844084040