Search a number
-
+
1301454455382 = 233712231522201
BaseRepresentation
bin10010111100000100101…
…110110000001001010110
311121102021121011102221000
4102330010232300021112
5132310334320033012
62433514021404130
7163012153226154
oct22740456601126
94542247142830
101301454455382
11461a42125034
12190292569646
139595a531223
1446dc27d43d4
1523cc1974ddc
hex12f04bb0256

1301454455382 has 64 divisors (see below), whose sum is σ = 2946008862720. Its totient is φ = 425789784000.

The previous prime is 1301454455381. The next prime is 1301454455407. The reversal of 1301454455382 is 2835544541031.

1301454455382 is a `hidden beast` number, since 1 + 3 + 0 + 14 + 5 + 4 + 4 + 553 + 82 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301454455381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93882 + ... + 1616082.

It is an arithmetic number, because the mean of its divisors is an integer number (46031388480).

Almost surely, 21301454455382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301454455382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473004431360).

1301454455382 is an abundant number, since it is smaller than the sum of its proper divisors (1644554407338).

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

1301454455382 is a wasteful number, since it uses less digits than its factorization.

1301454455382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522506 (or 1522500 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 1301454455382 in words is "one trillion, three hundred one billion, four hundred fifty-four million, four hundred fifty-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 71 142 213 223 426 446 639 669 1278 1338 1917 2007 3834 4014 6021 12042 15833 31666 47499 94998 142497 284994 427491 854982 1522201 3044402 4566603 9133206 13699809 27399618 41099427 82198854 108076271 216152542 324228813 339450823 648457626 678901646 972686439 1018352469 1945372878 2036704938 2918059317 3055057407 5836118634 6110114814 9165172221 18330344442 24101008433 48202016866 72303025299 144606050598 216909075897 433818151794 650727227691 1301454455382