Search a number
-
+
245343313441424 = 24111272401215531
BaseRepresentation
bin110111110010001101110001…
…000010111011001010010000
31012011200120222100111000200102
4313302031301002323022100
5224124201101220111144
62225445055012511532
7102451320010264052
oct6762156102731220
91164616870430612
10245343313441424
11711a0573394860
122362521731b5a8
13a6b8a10109183
14448297326d8d2
151d56e214cdb4e
hexdf23710bb290

245343313441424 has 120 divisors (see below), whose sum is σ = 523987778501856. Its totient is φ = 110365153920000.

The previous prime is 245343313441399. The next prime is 245343313441427. The reversal of 245343313441424 is 424144313343542.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (245343313441427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138212539 + ... + 1138428069.

Almost surely, 2245343313441424 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 245343313441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261993889250928).

245343313441424 is an abundant number, since it is smaller than the sum of its proper divisors (278644465060432).

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

245343313441424 is a wasteful number, since it uses less digits than its factorization.

245343313441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216205 (or 216072 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 47.

Adding to 245343313441424 its reverse (424144313343542), we get a palindrome (669487626784966).

The spelling of 245343313441424 in words is "two hundred forty-five trillion, three hundred forty-three billion, three hundred thirteen million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 127 176 254 401 508 802 1016 1397 1604 2032 2794 3208 4411 5588 6416 8822 11176 16129 17644 22352 32258 35288 50927 64516 70576 101854 129032 177419 203708 215531 258064 354838 407416 431062 560197 709676 814832 862124 1120394 1419352 1724248 2240788 2370841 2838704 3448496 4481576 4741682 6467729 8963152 9483364 12935458 18966728 25870916 27372437 37933456 51741832 54744874 71145019 86427931 103483664 109489748 142290038 172855862 218979496 284580076 301096807 345711724 437958992 569160152 602193614 691423448 950707241 1138320304 1204387228 1382846896 1901414482 2408774456 3476299499 3802828964 4817548912 6952598998 7605657928 10976347237 13905197996 15211315856 21952694474 27810395992 38239294489 43905388948 55620791984 76478588978 87810777896 120739819607 152957177956 175621555792 241479639214 305914355912 482959278428 611828711824 965918556856 1393996099099 1931837113712 2787992198198 5575984396396 11151968792792 15333957090089 22303937585584 30667914180178 61335828360356 122671656720712 245343313441424