Search a number
-
+
540738731001 = 373147109281577
BaseRepresentation
bin1111101111001101000…
…10100011101111111001
31220200202000022200011110
413313212202203233321
532324413103343001
61052224551350533
754032003243010
oct7674642435771
91820660280143
10540738731001
11199364a0a027
1288970382449
133bcb7280771
141c25996ba77
15e0ec3dd3d6
hex7de68a3bf9

540738731001 has 128 divisors (see below), whose sum is σ = 881273733120. Its totient is φ = 288446054400.

The previous prime is 540738730997. The next prime is 540738731003. The reversal of 540738731001 is 100137837045.

It is not a de Polignac number, because 540738731001 - 22 = 540738730997 is a prime.

It is a super-3 number, since 3×5407387310013 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (540738731003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 937155225 + ... + 937155801.

It is an arithmetic number, because the mean of its divisors is an integer number (6884951040).

Almost surely, 2540738731001 is an apocalyptic number.

It is an amenable number.

540738731001 is a deficient number, since it is larger than the sum of its proper divisors (340535002119).

540738731001 is a wasteful number, since it uses less digits than its factorization.

540738731001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 540738731001 in words is "five hundred forty billion, seven hundred thirty-eight million, seven hundred thirty-one thousand, one".

Divisors: 1 3 7 21 31 47 93 109 141 217 281 327 329 577 651 763 843 987 1457 1731 1967 2289 3379 4039 4371 5123 5901 8711 10137 10199 12117 13207 15369 17887 23653 26133 27119 30597 30629 35861 39621 53661 60977 62893 70959 81357 91887 92449 107583 125209 158813 162137 182931 188679 189833 214403 277347 375627 409417 440251 476439 486411 569499 643209 840689 949499 1111691 1134959 1228251 1320753 1439563 1949683 2522067 2848497 2865919 2955971 3335073 3404877 4318689 5026247 5849049 5884823 6646493 7620439 8597757 8867913 10076941 13647781 15078741 17654469 17672933 19939479 20691797 22861317 30230823 35183729 40943343 44626453 53018799 53343073 62075391 91635101 105551187 123710531 133879359 160029219 236233609 274905303 312385171 371131593 547860923 641445707 708700827 830627851 937155513 1643582769 1653635263 1924337121 2491883553 3835026461 4960905789 5814394957 11505079383 17443184871 25749463381 77248390143 180246243667 540738731001