Search a number
-
+
15244431120 = 2433519371453
BaseRepresentation
bin11100011001010001…
…11000111100010000
31110100102002100011000
432030220320330100
5222210033243440
611000405022000
71046525345412
oct161450707420
943312070130
1015244431120
1165130a1806
122b553b4900
13158c38ba59
14a488909b2
155e34e8730
hex38ca38f10

15244431120 has 160 divisors (see below), whose sum is σ = 55272355200. Its totient is φ = 3851214336.

The previous prime is 15244431089. The next prime is 15244431121. The reversal of 15244431120 is 2113444251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15244431121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144687 + ... + 226766.

It is an arithmetic number, because the mean of its divisors is an integer number (345452220).

Almost surely, 215244431120 is an apocalyptic number.

15244431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15244431120 is an abundant number, since it is smaller than the sum of its proper divisors (40027924080).

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

15244431120 is a wasteful number, since it uses less digits than its factorization.

15244431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371494 (or 371482 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 15244431120 its reverse (2113444251), we get a palindrome (17357875371).

The spelling of 15244431120 in words is "fifteen billion, two hundred forty-four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 371453 742906 1114359 1485812 1857265 2228718 2971624 3343077 3714530 4457436 5571795 5943248 6686154 7057607 7429060 8914872 10029231 11143590 13372308 14115214 14858120 16715385 17829744 20058462 21172821 22287180 26744616 28230428 29716240 33430770 35288035 40116924 42345642 44574360 50146155 53489232 56460856 63518463 66861540 70576070 80233848 84691284 89148720 100292310 105864105 112921712 127036926 133723080 141152140 160467696 169382568 190555389 200584620 211728210 254073852 267446160 282304280 317592315 338765136 381110778 401169240 423456420 508147704 564608560 635184630 762221556 802338480 846912840 952776945 1016295408 1270369260 1524443112 1693825680 1905553890 2540738520 3048886224 3811107780 5081477040 7622215560 15244431120