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40768121450247 = 31734741919872767
BaseRepresentation
bin10010100010100000100010…
…11001011010111100000111
312100100101122110221122010020
421101100101121122330013
520320421103042401442
6222412341052430223
711405254024456332
oct1121202131327407
9170311573848106
1040768121450247
1111a98732810584
1246a5175478373
131999556c18a39
14a0d28ab13619
154aa7145129ec
hex25141165af07

40768121450247 has 64 divisors (see below), whose sum is σ = 57908657479680. Its totient is φ = 25423408682496.

The previous prime is 40768121450237. The next prime is 40768121450267. The reversal of 40768121450247 is 74205412186704.

It is not a de Polignac number, because 40768121450247 - 211 = 40768121448199 is a prime.

It is a super-2 number, since 2×407681214502472 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 40768121450247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40768121450227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14733689058 + ... + 14733691824.

It is an arithmetic number, because the mean of its divisors is an integer number (904822773120).

Almost surely, 240768121450247 is an apocalyptic number.

40768121450247 is a deficient number, since it is larger than the sum of its proper divisors (17140536029433).

40768121450247 is a wasteful number, since it uses less digits than its factorization.

40768121450247 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540.

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 40768121450247 in words is "forty trillion, seven hundred sixty-eight billion, one hundred twenty-one million, four hundred fifty thousand, two hundred forty-seven".

Divisors: 1 3 17 51 347 419 1041 1257 1987 2767 5899 5961 7123 8301 17697 21369 33779 47039 101337 141117 145393 436179 689489 832553 960149 1159373 2068467 2471681 2497659 2880447 3478119 5498029 7415043 11721313 14153401 16322533 16494087 19709341 35163939 42460203 48967599 59128023 93466493 280399479 288895891 402302431 866687673 1206907293 1907816063 2303674151 4911230147 5723448189 6839141327 6911022453 14733690441 20517423981 32432873071 39162460567 97298619213 117487381701 799374930397 2398124791191 13589373816749 40768121450247