Search a number
-
+
51142970130 = 23571931413477
BaseRepresentation
bin101111101000010110…
…111100101100010010
311220000020112001212220
4233220112330230102
51314220100021010
635254511201510
73460241034120
oct575026745422
9156006461786
1051142970130
111a76496746a
129ab3816296
134a907b7105
142692456910
1514e4db7970
hexbe85bcb12

51142970130 has 128 divisors (see below), whose sum is σ = 152424529920. Its totient is φ = 10717297920.

The previous prime is 51142970113. The next prime is 51142970183. The reversal of 51142970130 is 3107924115.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51142970091 and 51142970100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83049 + ... + 330428.

It is an arithmetic number, because the mean of its divisors is an integer number (1190816640).

Almost surely, 251142970130 is an apocalyptic number.

51142970130 is an abundant number, since it is smaller than the sum of its proper divisors (101281559790).

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

51142970130 is a wasteful number, since it uses less digits than its factorization.

51142970130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413544.

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 51142970130 in words is "fifty-one billion, one hundred forty-two million, nine hundred seventy thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 31 35 38 42 57 62 70 93 95 105 114 133 155 186 190 210 217 266 285 310 399 434 465 570 589 651 665 798 930 1085 1178 1302 1330 1767 1995 2170 2945 3255 3534 3990 4123 5890 6510 8246 8835 12369 17670 20615 24738 41230 61845 123690 413477 826954 1240431 2067385 2480862 2894339 4134770 5788678 6202155 7856063 8683017 12404310 12817787 14471695 15712126 17366034 23568189 25635574 28943390 38453361 39280315 43415085 47136378 54992441 64088935 76906722 78560630 86830170 89724509 109984882 117840945 128177870 164977323 179449018 192266805 235681890 243537953 269173527 274962205 329954646 384533610 448622545 487075906 538347054 549924410 730613859 824886615 897245090 1217689765 1345867635 1461227718 1649773230 1704765671 2435379530 2691735270 3409531342 3653069295 5114297013 7306138590 8523828355 10228594026 17047656710 25571485065 51142970130