Search a number
-
+
51113221440 = 2635157339127
BaseRepresentation
bin101111100110100101…
…011101110101000000
311212221011112200100120
4233212211131311000
51314134441041230
635251525420240
73456430133211
oct574645356500
9155834480316
1051113221440
111a74a098876
129aa586a680
134a8759c638
14268c511408
1514e248d310
hexbe695dd40

51113221440 has 112 divisors (see below), whose sum is σ = 163318618752. Its totient is φ = 13543335936.

The previous prime is 51113221387. The next prime is 51113221457. The reversal of 51113221440 is 4412231115.

It is a super-2 number, since 2×511132214402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 51113221440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18844 + ... + 320283.

Almost surely, 251113221440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51113221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81659309376).

51113221440 is an abundant number, since it is smaller than the sum of its proper divisors (112205397312).

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

51113221440 is a wasteful number, since it uses less digits than its factorization.

51113221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339304 (or 339294 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 51113221440 its reverse (4412231115), we get a palindrome (55525452555).

The spelling of 51113221440 in words is "fifty-one billion, one hundred thirteen million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 157 160 192 240 314 320 471 480 628 785 942 960 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 9420 10048 12560 15072 18840 25120 30144 37680 50240 75360 150720 339127 678254 1017381 1356508 1695635 2034762 2713016 3391270 4069524 5086905 5426032 6782540 8139048 10173810 10852064 13565080 16278096 20347620 21704128 27130160 32556192 40695240 53242939 54260320 65112384 81390480 106485878 108520640 159728817 162780960 212971756 266214695 319457634 325561920 425943512 532429390 638915268 798644085 851887024 1064858780 1277830536 1597288170 1703774048 2129717560 2555661072 3194576340 3407548096 4259435120 5111322144 6389152680 8518870240 10222644288 12778305360 17037740480 25556610720 51113221440