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40760098821 = 321319229107311
BaseRepresentation
bin100101111101011111…
…011100000000000101
310220012122022120001200
4211331133130000011
51131434041130241
630420330213113
72642034060231
oct457537340005
9126178276050
1040760098821
1116317016592
127a96584199
133ac76a4890
141d8950b5c1
1510d85cb4b6
hex97d7dc005

40760098821 has 144 divisors (see below), whose sum is σ = 70096440960. Its totient is φ = 22656049920.

The previous prime is 40760098793. The next prime is 40760098837. The reversal of 40760098821 is 12889006704.

40760098821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40760098821 - 219 = 40759574533 is a prime.

It is a super-2 number, since 2×407600988212 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40760098861) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131061256 + ... + 131061566.

It is an arithmetic number, because the mean of its divisors is an integer number (486780840).

Almost surely, 240760098821 is an apocalyptic number.

It is an amenable number.

40760098821 is a deficient number, since it is larger than the sum of its proper divisors (29336342139).

40760098821 is a wasteful number, since it uses less digits than its factorization.

40760098821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 40760098821 in words is "forty billion, seven hundred sixty million, ninety-eight thousand, eight hundred twenty-one".

Divisors: 1 3 9 13 19 29 39 57 87 107 117 171 247 261 311 321 361 377 551 741 933 963 1083 1131 1391 1653 2033 2223 2799 3103 3249 3393 4043 4173 4693 4959 5909 6099 7163 9019 9309 10469 12129 12519 14079 17727 18297 21489 26429 27057 27927 31407 33277 36387 38627 40339 42237 53181 58957 64467 76817 79287 81171 94221 99831 112271 115881 117247 121017 136097 171361 176871 230451 237861 299493 336813 347643 351741 363051 408291 432601 502151 514083 530613 632263 691353 766441 965033 1010439 1055223 1120183 1224873 1297803 1459523 1506453 1542249 1896789 2227693 2299323 2895099 3255859 3360549 3893409 4378569 4519359 5690367 6683079 6897969 8219419 8685297 9767577 10081647 12012997 12545429 13135707 14562379 18335627 20049237 24658257 29302731 36038991 37636287 42326167 43687137 55006881 73974771 108116973 112908861 126978501 131061411 156168961 165020643 238363151 348376913 380935503 468506883 715089453 1045130739 1405520649 2145268359 3135392217 4528899869 13586699607 40760098821