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1364040436941 = 337132109391789
BaseRepresentation
bin10011110110010111001…
…001010100110011001101
311211101211022201201111000
4103312113021110303031
5134322023322440231
62522344224250513
7200356123260540
oct23662711246315
94741738651430
101364040436941
114865392a2336
121a043a470a39
139b822963700
144a03c8ba857
15257362396e6
hex13d97254ccd

1364040436941 has 96 divisors (see below), whose sum is σ = 2523754464000. Its totient is φ = 712891176192.

The previous prime is 1364040436939. The next prime is 1364040436949. The reversal of 1364040436941 is 1496340404631.

1364040436941 is a `hidden beast` number, since 136 + 4 + 0 + 40 + 436 + 9 + 41 = 666.

It is not a de Polignac number, because 1364040436941 - 21 = 1364040436939 is a prime.

It is a super-2 number, since 2×13640404369412 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364040436949) 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, 3285675 + ... + 3677463.

It is an arithmetic number, because the mean of its divisors is an integer number (26289109000).

Almost surely, 21364040436941 is an apocalyptic number.

It is an amenable number.

1364040436941 is a deficient number, since it is larger than the sum of its proper divisors (1159714027059).

1364040436941 is a wasteful number, since it uses less digits than its factorization.

1364040436941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391940 (or 391921 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1364040436941 in words is "one trillion, three hundred sixty-four billion, forty million, four hundred thirty-six thousand, nine hundred forty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 109 117 169 189 273 327 351 507 763 819 981 1183 1417 1521 2289 2457 2943 3549 4251 4563 6867 9919 10647 12753 18421 20601 29757 31941 38259 55263 89271 128947 165789 267813 386841 391789 497367 1160523 1175367 2742523 3481569 3526101 5093257 8227569 10578303 15279771 24682707 35652799 42705001 45839313 66212341 74048121 106958397 128115003 137517939 198637023 298935007 320875191 384345009 463486387 555165013 595911069 896805021 962625573 1153035027 1390459161 1665495039 1787733207 2690415063 3886155091 4171377483 4996485117 7217145169 8071245189 11658465273 12514132449 14989455351 21651435507 34975395819 50520016183 64954306521 104926187457 151560048549 194862919563 454680145647 1364040436941