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400013322413232 = 243112332939173453
BaseRepresentation
bin101101011110011110101101…
…1111111001110010010110000
31221110022220022012201211102010
41122330331123333032102300
5404412304241014210412
63534431330004322520
7150154003013366253
oct13274753377162260
91843286265654363
10400013322413232
111065027741a3970
1238a453183a3440
131422812c6671c8
1470aca68b3d09a
15313a3e7a1a33c
hex16bcf5bfce4b0

400013322413232 has 80 divisors (see below), whose sum is σ = 1176323762389248. Its totient is φ = 115945890551040.

The previous prime is 400013322413213. The next prime is 400013322413261. The reversal of 400013322413232 is 232314223310004.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 400013322413232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16469574583 + ... + 16469598870.

Almost surely, 2400013322413232 is an apocalyptic number.

It is an amenable number.

400013322413232 is an abundant number, since it is smaller than the sum of its proper divisors (776310439976016).

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

400013322413232 is a wasteful number, since it uses less digits than its factorization.

400013322413232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32939173498 (or 32939173492 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 400013322413232 its reverse (232314223310004), we get a palindrome (632327545723236).

The spelling of 400013322413232 in words is "four hundred trillion, thirteen billion, three hundred twenty-two million, four hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 32939173453 65878346906 98817520359 131756693812 197635040718 263513387624 362330907983 395270081436 527026775248 724661815966 757600989419 790540162872 1086992723949 1449323631932 1515201978838 1581080325744 2173985447898 2272802968257 2898647263864 3030403957676 4347970895796 4545605936514 5797294527728 6060807915352 8333610883609 8695941791592 9091211873028 12121615830704 16667221767218 17391883583184 18182423746056 25000832650827 33334443534436 36364847492112 50001665301654 66668887068872 100003330603308 133337774137744 200006661206616 400013322413232