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400413316323244 = 227109769170607313
BaseRepresentation
bin101101100001011000111110…
…1011110111001011110101100
31221111202010202110211210111211
41123002301331132321132230
5404440332432434320434
63535335201010124204
7150224623152464230
oct13302617536713654
91844663673753454
10400413316323244
11106647374346814
1238aaa949580664
1314256a769525b3
1470c41721985c0
153145a08b0e464
hex16c2c7d7b97ac

400413316323244 has 48 divisors (see below), whose sum is σ = 809224611764800. Its totient is φ = 169810234638336.

The previous prime is 400413316323239. The next prime is 400413316323281. The reversal of 400413316323244 is 442323613314004.

It is a super-3 number, since 3×4004133163232443 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400413316323197 and 400413316323206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82956669 + ... + 87650644.

Almost surely, 2400413316323244 is an apocalyptic number.

It is an amenable number.

400413316323244 is an abundant number, since it is smaller than the sum of its proper divisors (408811295441556).

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

400413316323244 is a wasteful number, since it uses less digits than its factorization.

400413316323244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170608202 (or 170608200 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 400413316323244 its reverse (442323613314004), we get a palindrome (842736929637248).

The spelling of 400413316323244 in words is "four hundred trillion, four hundred thirteen billion, three hundred sixteen million, three hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 109 218 436 763 769 1526 1538 3052 3076 5383 10766 21532 83821 167642 335284 586747 1173494 2346988 170607313 341214626 682429252 1194251191 2388502382 4777004764 18596197117 37192394234 74384788468 130173379819 131197023697 260346759638 262394047394 520693519276 524788094788 918379165879 1836758331758 3673516663516 14300475582973 28600951165946 57201902331892 100103329080811 200206658161622 400413316323244