Search a number
-
+
1020061244454 = 237311487526871
BaseRepresentation
bin11101101100000000110…
…00110101110000100110
310121111221211012020022220
432312000120311300212
5113203041134310304
62100335404333210
7133461032342130
oct16660030656046
93544854166286
101020061244454
11363672a8586a
12145840544206
13752645679a5
143752a912050
151b802a7dad9
hexed80635c26

1020061244454 has 64 divisors (see below), whose sum is σ = 2408403566592. Its totient is φ = 281854375200.

The previous prime is 1020061244437. The next prime is 1020061244471. The reversal of 1020061244454 is 4544421600201.

It is an interprime number because it is at equal distance from previous prime (1020061244437) and next prime (1020061244471).

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, 1672639 + ... + 2199509.

It is an arithmetic number, because the mean of its divisors is an integer number (37631305728).

Almost surely, 21020061244454 is an apocalyptic number.

1020061244454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020061244454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204201783296).

1020061244454 is an abundant number, since it is smaller than the sum of its proper divisors (1388342322138).

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

1020061244454 is a wasteful number, since it uses less digits than its factorization.

1020061244454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528401.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 1020061244454 its reverse (4544421600201), we get a palindrome (5564482844655).

The spelling of 1020061244454 in words is "one trillion, twenty billion, sixty-one million, two hundred forty-four thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1487 2974 4461 8922 10409 20818 31227 46097 62454 92194 138291 276582 322679 526871 645358 968037 1053742 1580613 1936074 3161226 3688097 7376194 11064291 16333001 22128582 32666002 48999003 97998006 114331007 228662014 342993021 685986042 783457177 1566914354 2350371531 4700743062 5484200239 10968400478 16452600717 24287172487 32905201434 48574344974 72861517461 145723034922 170010207409 340020414818 510030622227 1020061244454