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31400401421440 = 275611093735877
BaseRepresentation
bin1110010001110111110011…
…10001011100010010000000
311010011211220222000212122201
413020323321301130102000
513103431010230441230
6150441051213442544
76420414135151162
oct710737161342200
9133154828025581
1031400401421440
11a006920aa51a7
123631736aa0454
13146a0782646ac
147a7b0500a932
15396be32cd5ca
hex1c8ef9c5c480

31400401421440 has 128 divisors (see below), whose sum is σ = 76367093465520. Its totient is φ = 12342936453120.

The previous prime is 31400401421437. The next prime is 31400401421509. The reversal of 31400401421440 is 4412410400413.

It can be written as a sum of positive squares in 8 ways, for example, as 23428000701504 + 7972400719936 = 4840248^2 + 2823544^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 31400401421399 and 31400401421408.

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, 42302782 + ... + 43038658.

Almost surely, 231400401421440 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 31400401421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38183546732760).

31400401421440 is an abundant number, since it is smaller than the sum of its proper divisors (44966692044080).

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

31400401421440 is a wasteful number, since it uses less digits than its factorization.

31400401421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737050 (or 737038 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 31400401421440 its reverse (4412410400413), we get a palindrome (35812811821853).

The spelling of 31400401421440 in words is "thirty-one trillion, four hundred billion, four hundred one million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 305 320 488 610 640 976 1093 1220 1952 2186 2440 3904 4372 4880 5465 7808 8744 9760 10930 17488 19520 21860 34976 39040 43720 66673 69952 87440 133346 139904 174880 266692 333365 349760 533384 666730 699520 735877 1066768 1333460 1471754 2133536 2666920 2943508 3679385 4267072 5333840 5887016 7358770 8534144 10667680 11774032 14717540 21335360 23548064 29435080 42670720 44888497 47096128 58870160 89776994 94192256 117740320 179553988 224442485 235480640 359107976 448884970 470961280 718215952 804313561 897769940 1436431904 1608627122 1795539880 2872863808 3217254244 3591079760 4021567805 5745727616 6434508488 7182159520 8043135610 12869016976 14364319040 16086271220 25738033952 28728638080 32172542440 49063127221 51476067904 64345084880 98126254442 102952135808 128690169760 196252508884 245315636105 257380339520 392505017768 490631272210 514760679040 785010035536 981262544420 1570020071072 1962525088840 3140040142144 3925050177680 6280080284288 7850100355360 15700200710720 31400401421440