Search a number
-
+
55314400213422 = 2337236075795651
BaseRepresentation
bin11001001001110111000110…
…01011001111100110101110
321020212000010122202001111000
430210323203023033212232
524222232342423312142
6313351030141341130
714436222255045300
oct1444734313174656
9236760118661430
1055314400213422
1116696783971379
1262543748677a6
1324b3182b0c48c
14d933347c7970
1565dcc3d7a14c
hex324ee32cf9ae

55314400213422 has 96 divisors (see below), whose sum is σ = 143029272925440. Its totient is φ = 15799730108400.

The previous prime is 55314400213393. The next prime is 55314400213427. The reversal of 55314400213422 is 22431200441355.

It is a happy number.

55314400213422 is a `hidden beast` number, since 5 + 5 + 3 + 14 + 4 + 0 + 0 + 213 + 422 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55314400213427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6646297 + ... + 12441947.

It is an arithmetic number, because the mean of its divisors is an integer number (1489888259640).

Almost surely, 255314400213422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55314400213422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71514636462720).

55314400213422 is an abundant number, since it is smaller than the sum of its proper divisors (87714872712018).

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

55314400213422 is a wasteful number, since it uses less digits than its factorization.

55314400213422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799283 (or 5799270 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 55314400213422 its reverse (22431200441355), we get a palindrome (77745600654777).

The spelling of 55314400213422 in words is "fifty-five trillion, three hundred fourteen billion, four hundred million, two hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 3607 7214 10821 21642 25249 32463 50498 64926 75747 97389 151494 176743 194778 227241 353486 454482 530229 681723 1060458 1363446 1590687 3181374 4772061 5795651 9544122 11591302 17386953 34773906 40569557 52160859 81139114 104321718 121708671 156482577 243417342 283986899 312965154 365126013 567973798 730252026 851960697 1095378039 1703921394 2190756078 2555882091 5111764182 7667646273 15335292546 20904913157 41809826314 62714739471 125429478942 146334392099 188144218413 292668784198 376288436826 439003176297 564432655239 878006352594 1024340744693 1128865310478 1317009528891 2048681489386 2634019057782 3073022234079 3951028586673 6146044468158 7902057173346 9219066702237 18438133404474 27657200106711 55314400213422