Search a number
-
+
513044240424 = 233375396711273
BaseRepresentation
bin1110111011100111101…
…00011101100000101000
31211001020221020210011020
413131303310131200220
531401203311143144
61031404514332440
752031500042662
oct7356364354050
91731227223136
10513044240424
1118864310a391
128352158a120
13394c273c431
141ab8d7c7532
15d52adc3419
hex7773d1d828

513044240424 has 128 divisors (see below), whose sum is σ = 1343637123840. Its totient is φ = 163069949952.

The previous prime is 513044240413. The next prime is 513044240431. The reversal of 513044240424 is 424042440315.

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, 45505252 + ... + 45516524.

It is an arithmetic number, because the mean of its divisors is an integer number (10497165030).

Almost surely, 2513044240424 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 513044240424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671818561920).

513044240424 is an abundant number, since it is smaller than the sum of its proper divisors (830592883416).

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

513044240424 is a wasteful number, since it uses less digits than its factorization.

513044240424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 513044240424 its reverse (424042440315), we get a palindrome (937086680739).

The spelling of 513044240424 in words is "five hundred thirteen billion, forty-four million, two hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 53 74 106 111 148 159 212 222 296 318 424 444 636 888 967 1272 1934 1961 2901 3868 3922 5802 5883 7736 7844 11273 11604 11766 15688 22546 23208 23532 33819 35779 45092 47064 51251 67638 71558 90184 102502 107337 135276 143116 153753 205004 214674 270552 286232 307506 410008 417101 429348 597469 615012 834202 858696 1194938 1230024 1251303 1668404 1792407 1896287 2389876 2502606 3336808 3584814 3792574 4779752 5005212 5688861 7169628 7585148 10010424 10900991 11377722 14339256 15170296 21801982 22106353 22755444 32702973 43603964 44212706 45510888 65405946 66319059 87207928 88425412 130811892 132638118 176850824 261623784 265276236 403336667 530552472 577752523 806673334 1155505046 1210010001 1613346668 1733257569 2311010092 2420020002 3226693336 3466515138 4622020184 4840040004 6933030276 9680080008 13866060552 21376843351 42753686702 64130530053 85507373404 128261060106 171014746808 256522120212 513044240424