Search a number
-
+
51427400440 = 23513418927103
BaseRepresentation
bin101111111001010011…
…111101101011111000
311220202001201121220211
4233321103331223320
51320310403303230
635343031400504
73500263456033
oct577123755370
9156661647824
1051427400440
111a8a0477139
129b72b23134
134b076c3180
1426bc13601a
15150ed4d42a
hexbf94fdaf8

51427400440 has 128 divisors (see below), whose sum is σ = 129090931200. Its totient is φ = 18316615680.

The previous prime is 51427400411. The next prime is 51427400501. The reversal of 51427400440 is 4400472415.

It is a super-2 number, since 2×514274004402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883929 + ... + 1911031.

It is an arithmetic number, because the mean of its divisors is an integer number (1008522900).

Almost surely, 251427400440 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 51427400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64545465600).

51427400440 is an abundant number, since it is smaller than the sum of its proper divisors (77663530760).

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

51427400440 is a wasteful number, since it uses less digits than its factorization.

51427400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27257 (or 27253 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

Adding to 51427400440 its reverse (4400472415), we get a palindrome (55827872855).

The spelling of 51427400440 in words is "fifty-one billion, four hundred twenty-seven million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 89 104 130 164 178 205 260 328 356 410 445 520 533 712 820 890 1066 1157 1640 1780 2132 2314 2665 3560 3649 4264 4628 5330 5785 7298 9256 10660 11570 14596 18245 21320 23140 27103 29192 36490 46280 47437 54206 72980 94874 108412 135515 145960 189748 216824 237185 271030 352339 379496 474370 542060 704678 948740 1084120 1111223 1409356 1761695 1897480 2222446 2412167 2818712 3523390 4444892 4824334 5556115 7046780 8889784 9648668 11112230 12060835 14093560 14445899 19297336 22224460 24121670 28891798 31358171 44448920 48243340 57783596 62716342 72229495 96486680 98898847 115567192 125432684 144458990 156790855 197797694 250865368 288917980 313581710 395595388 494494235 577835960 627163420 791190776 988988470 1254326840 1285685011 1977976940 2571370022 3955953880 5142740044 6428425055 10285480088 12856850110 25713700220 51427400440