Search a number
-
+
3948131247151 = 7131937736611279
BaseRepresentation
bin111001011100111110111…
…101011110010000101111
3111222102211001111001022211
4321130332331132100233
51004141233044402101
612221425122351251
7555146241612250
oct71347675362057
914872731431284
103948131247151
111292436185983
125392111bb527
132283cbb459c0
14d913a75ab27
156ca7752ac51
hex3973ef5e42f

3948131247151 has 128 divisors (see below), whose sum is σ = 5337418956800. Its totient is φ = 2833445007360.

The previous prime is 3948131247131. The next prime is 3948131247167. The reversal of 3948131247151 is 1517421318493.

It is a cyclic number.

It is not a de Polignac number, because 3948131247151 - 27 = 3948131247023 is a prime.

It is a super-2 number, since 2×39481312471512 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3948131247095 and 3948131247104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948131247101) 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, 3086888530 + ... + 3086889808.

It is an arithmetic number, because the mean of its divisors is an integer number (41698585600).

Almost surely, 23948131247151 is an apocalyptic number.

3948131247151 is a deficient number, since it is larger than the sum of its proper divisors (1389287709649).

3948131247151 is a wasteful number, since it uses less digits than its factorization.

3948131247151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089.

The product of its digits is 725760, while the sum is 49.

The spelling of 3948131247151 in words is "three trillion, nine hundred forty-eight billion, one hundred thirty-one million, two hundred forty-seven thousand, one hundred fifty-one".

Divisors: 1 7 13 19 37 73 91 133 247 259 481 511 661 703 949 1279 1387 1729 2701 3367 4627 4921 6643 8593 8953 9139 9709 12559 16627 18031 18907 24301 24457 35113 47323 48253 51319 60151 63973 87913 93367 116389 126217 163267 170107 171199 245791 315913 317941 331261 337771 359233 464683 615199 627289 653569 667147 845419 899137 916807 1142869 1213771 1773973 1785361 2211391 2225587 3252781 3454579 4306393 4391023 4670029 5917933 6040879 6293959 6417649 8496397 10990447 11688781 11918491 12417811 12497527 16062961 23061649 23209693 24182053 31280503 33921859 42286153 44909527 61715587 65637001 76933129 81821467 83429437 112440727 161431543 162467851 208818493 218963521 237453013 314366689 406646539 432009109 440984167 459459007 594329557 802302631 853281013 1172596153 1461729451 2283476719 2846525773 3086889169 4160306899 5616118417 5972967091 7726284241 8208173071 15243749989 15984337033 29685197347 43386057661 54083989687 106706249923 207796381429 303702403627 564018749593 3948131247151