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40280322672 = 24321632935857
BaseRepresentation
bin100101100000111001…
…001111001001110000
310211222012112101220200
4211200321033021300
51124443230311142
630300551035200
72624120044032
oct454071171160
9124865471820
1040280322672
11160a0212677
12798196bb00
133a4c180a75
141d418dbc52
1510ab40a64c
hex960e4f270

40280322672 has 120 divisors (see below), whose sum is σ = 113827079184. Its totient is φ = 13296586752.

The previous prime is 40280322659. The next prime is 40280322673. The reversal of 40280322672 is 27622308204.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40280322673) 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, 6874368 + ... + 6880224.

Almost surely, 240280322672 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 40280322672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56913539592).

40280322672 is an abundant number, since it is smaller than the sum of its proper divisors (73546756512).

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

40280322672 is a wasteful number, since it uses less digits than its factorization.

40280322672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40280322672 in words is "forty billion, two hundred eighty million, three hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 293 326 489 586 652 879 978 1172 1304 1467 1758 1956 2344 2608 2637 2934 3516 3912 4688 5274 5857 5868 7032 7824 10548 11714 11736 14064 17571 21096 23428 23472 35142 42192 46856 47759 52713 70284 93712 95518 105426 140568 143277 191036 210852 281136 286554 382072 421704 429831 573108 764144 843408 859662 954691 1146216 1716101 1719324 1909382 2292432 2864073 3432202 3438648 3818764 5148303 5728146 6864404 6877296 7637528 8592219 10296606 11456292 13728808 15275056 15444909 17184438 20593212 22912584 27457616 30889818 34368876 41186424 45825168 61779636 68737752 82372848 123559272 137475504 247118544 279724463 559448926 839173389 1118897852 1678346778 2237795704 2517520167 3356693556 4475591408 5035040334 6713387112 10070080668 13426774224 20140161336 40280322672