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1400120200413 = 341117128971711
BaseRepresentation
bin10100010111111101101…
…010101100110011011101
311221211221210011121110000
4110113331222230303131
5140414421232403123
62551112323004513
7203104166224404
oct24277552546335
94854853147400
101400120200413
1149a873396680
121a7429509739
13a20527a108c
144baa257863b
15266489a4b43
hex145fdaaccdd

1400120200413 has 80 divisors (see below), whose sum is σ = 2417801633280. Its totient is φ = 798011827200.

The previous prime is 1400120200387. The next prime is 1400120200439. The reversal of 1400120200413 is 3140020210041.

1400120200413 is a `hidden beast` number, since 1 + 40 + 0 + 12 + 0 + 200 + 413 = 666.

It is an interprime number because it is at equal distance from previous prime (1400120200387) and next prime (1400120200439).

It is not a de Polignac number, because 1400120200413 - 221 = 1400118103261 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400120200513) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19488628 + ... + 19560338.

It is an arithmetic number, because the mean of its divisors is an integer number (30222520416).

Almost surely, 21400120200413 is an apocalyptic number.

It is an amenable number.

1400120200413 is a deficient number, since it is larger than the sum of its proper divisors (1017681432867).

1400120200413 is a wasteful number, since it uses less digits than its factorization.

1400120200413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73040 (or 73031 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1400120200413 its reverse (3140020210041), we get a palindrome (4540140410454).

The spelling of 1400120200413 in words is "one trillion, four hundred billion, one hundred twenty million, two hundred thousand, four hundred thirteen".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 297 459 561 891 1289 1377 1683 3867 5049 11601 14179 15147 21913 34803 42537 65739 71711 104409 127611 197217 215133 241043 382833 591651 645399 723129 788821 1148499 1219087 1774953 1936197 2169387 2366463 3657261 5808591 6508161 7099389 10971783 13409957 19524483 21298167 32915349 40229871 63894501 92435479 98746047 120689613 277306437 362068839 831919311 1016790269 1086206517 1571403143 2495757933 3050370807 4714209429 7487273799 9151112421 14142628287 17285434573 27453337263 42427884861 51856303719 82360011789 127283654583 155568911157 466706733471 1400120200413