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1363404043631 = 72293147691953
BaseRepresentation
bin10011110101110001001…
…101101011010101101111
311211100011222020120222102
4103311301031223111233
5134314222413344011
62522201132205315
7200334265104500
oct23656115532557
94740158216872
101363404043631
11486242047653
121a02a130983b
139b750b64b16
1449dbc17cba7
15256ea42d73b
hex13d7136b56f

1363404043631 has 96 divisors (see below), whose sum is σ = 1733970862080. Its totient is φ = 1066037414400.

The previous prime is 1363404043613. The next prime is 1363404043649.

1363404043631 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1363404043613) and next prime (1363404043649).

It is not a de Polignac number, because 1363404043631 - 226 = 1363336934767 is a prime.

It is a super-2 number, since 2×13634040436312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363404040631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1430643851 + ... + 1430644803.

It is an arithmetic number, because the mean of its divisors is an integer number (18062196480).

Almost surely, 21363404043631 is an apocalyptic number.

1363404043631 is a deficient number, since it is larger than the sum of its proper divisors (370566818449).

1363404043631 is a wasteful number, since it uses less digits than its factorization.

1363404043631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 1363404043631 in words is "one trillion, three hundred sixty-three billion, four hundred four million, forty-three thousand, six hundred thirty-one".

Divisors: 1 7 29 31 47 49 203 217 329 691 899 953 1363 1421 1457 1519 2303 4837 6293 6671 9541 10199 20039 21421 27637 29543 32477 33859 42253 44051 44791 46697 66787 71393 140273 149947 193459 206801 227339 295771 313537 621209 658523 856747 941833 981911 1006787 1049629 1298939 1354213 1388521 1447607 1591373 2070397 2194759 4348463 4609661 5997229 6592831 7047509 9092573 9719647 19097167 20414213 29196823 30439241 30950581 32267627 40267109 41980603 46149817 49332563 63648011 68037529 133680169 142899491 204377761 216654067 281869763 592012177 897566849 935761183 959468011 1000296437 1430644327 1516578469 1973088341 4144085239 6282967943 6716276077 27824572319 29008596673 43980775601 47013932539 194772006233 1363404043631