Search a number
-
+
5141215222430 = 2574115116377247
BaseRepresentation
bin100101011010000100001…
…0011101001101010011110
3200012111101010110200221112
41022310020103221222132
51133213202044104210
614533501444502022
71040304051230030
oct112641023515236
920174333420845
105141215222430
111702416a64261
126b049a6aa912
132b3a7864a391
1413ab9c547c50
158db04e88d05
hex4ad084e9a9e

5141215222430 has 128 divisors (see below), whose sum is σ = 10914088034304. Its totient is φ = 1707041664000.

The previous prime is 5141215222427. The next prime is 5141215222439. The reversal of 5141215222430 is 342225121415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5141215222439) 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, 709423067 + ... + 709430313.

It is an arithmetic number, because the mean of its divisors is an integer number (85266312768).

Almost surely, 25141215222430 is an apocalyptic number.

5141215222430 is an abundant number, since it is smaller than the sum of its proper divisors (5772872811874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5141215222430 is a wasteful number, since it uses less digits than its factorization.

5141215222430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090.

The product of its (nonzero) digits is 19200, while the sum is 32.

The spelling of 5141215222430 in words is "five trillion, one hundred forty-one billion, two hundred fifteen million, two hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 70 82 151 205 287 302 410 574 755 1057 1435 1510 1637 2114 2870 3274 5285 6191 7247 8185 10570 11459 12382 14494 16370 22918 30955 36235 43337 50729 57295 61910 67117 72470 86674 101458 114590 134234 216685 247187 253645 297127 335585 433370 469819 494374 507290 594254 671170 939638 1094297 1235935 1485635 1730309 2079889 2188594 2349095 2471870 2971270 3460618 4159778 4698190 5471485 7660079 8651545 10134667 10399445 10942970 11863339 15320158 17303090 20269334 20798890 23726678 38300395 44866177 50673335 59316695 70942669 76600790 83043373 89732354 101346670 118633390 141885338 166086746 224330885 314063239 354713345 415216865 448661770 486396899 628126478 709426690 830433730 972793798 1570316195 1791364189 2431984495 3140632390 3404778293 3582728378 4863968990 6809556586 8956820945 12539549323 17023891465 17913641890 25079098646 34047782930 62697746615 73445931749 125395493230 146891863498 367229658745 514121522243 734459317490 1028243044486 2570607611215 5141215222430