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20400024001450 = 25217337172141381
BaseRepresentation
bin1001010001101110000000…
…01011110001101110101010
32200020020000202012021110011
410220313000023301232222
510133213222121021300
6111215350332442134
74203565416645652
oct450670013615652
980206022167404
1020400024001450
1165556687a3045
1223557b291934a
13b4c9388a6902
1450751b6ab362
152559b8920eba
hex128dc02f1baa

20400024001450 has 96 divisors (see below), whose sum is σ = 40319652220848. Its totient is φ = 7652585472000.

The previous prime is 20400024001447. The next prime is 20400024001477. The reversal of 20400024001450 is 5410042000402.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 54845424481 + 20345178576969 = 234191^2 + 4510563^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 492959760 + ... + 493001140.

Almost surely, 220400024001450 is an apocalyptic number.

20400024001450 is a deficient number, since it is larger than the sum of its proper divisors (19919628219398).

20400024001450 is a wasteful number, since it uses less digits than its factorization.

20400024001450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43468 (or 43463 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 20400024001450 its reverse (5410042000402), we get a palindrome (25810066001852).

The spelling of 20400024001450 in words is "twenty trillion, four hundred billion, twenty-four million, one thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 85 170 337 425 674 850 1685 1721 3370 3442 5729 8425 8605 11458 16850 17210 28645 29257 41381 43025 57290 58514 82762 86050 143225 146285 206905 286450 292570 413810 579977 703477 731425 1034525 1159954 1406954 1462850 2069050 2899885 3517385 5799770 7034770 9859609 13945397 14499425 17586925 19719218 27890794 28998850 35173850 49298045 69726985 71216701 98596090 139453970 142433402 237071749 246490225 348634925 356083505 474143498 492980450 697269850 712167010 1185358745 1210683917 1780417525 2370717490 2421367834 3560835050 5926793725 6053419585 11853587450 12106839170 24000028237 30267097925 48000056474 60534195850 120000141185 240000282370 408000480029 600000705925 816000960058 1200001411850 2040002400145 4080004800290 10200012000725 20400024001450