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40632220416 = 283477914249
BaseRepresentation
bin100101110101110111…
…100111101100000000
310212212201200122212110
4211311313213230000
51131203322023131
630355521255320
72635622114004
oct456567475400
9125781618773
1040632220416
1116260913657
127a5b794540
133aa704c998
141d76540704
1510cc26b646
hex975de7b00

40632220416 has 144 divisors (see below), whose sum is σ = 111847680000. Its totient is φ = 13087186944.

The previous prime is 40632220411. The next prime is 40632220471. The reversal of 40632220416 is 61402223604.

It is not an unprimeable number, because it can be changed into a prime (40632220411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2844460 + ... + 2858708.

It is an arithmetic number, because the mean of its divisors is an integer number (776720000).

Almost surely, 240632220416 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 40632220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840000).

40632220416 is an abundant number, since it is smaller than the sum of its proper divisors (71215459584).

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

40632220416 is a wasteful number, since it uses less digits than its factorization.

40632220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394 (or 14380 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 40632220416 in words is "forty billion, six hundred thirty-two million, two hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 79 94 96 128 141 158 188 192 237 256 282 316 376 384 474 564 632 752 768 948 1128 1264 1504 1896 2256 2528 3008 3713 3792 4512 5056 6016 7426 7584 9024 10112 11139 12032 14249 14852 15168 18048 20224 22278 28498 29704 30336 36096 42747 44556 56996 59408 60672 85494 89112 113992 118816 170988 178224 227984 237632 341976 356448 455968 475264 669703 683952 712896 911936 950528 1125671 1339406 1367904 1425792 1823872 2009109 2251342 2678812 2735808 2851584 3377013 3647744 4018218 4502684 5357624 5471616 6754026 8036436 9005368 10715248 10943232 13508052 16072872 18010736 21430496 27016104 32145744 36021472 42860992 52906537 54032208 64291488 72042944 85721984 105813074 108064416 128582976 144085888 158719611 171443968 211626148 216128832 257165952 288171776 317439222 423252296 432257664 514331904 634878444 846504592 864515328 1269756888 1693009184 2539513776 3386018368 5079027552 6772036736 10158055104 13544073472 20316110208 40632220416