Search a number
-
+
1055415404020 = 225174740765479
BaseRepresentation
bin11110101101110111010…
…10010000010111110100
310201220012201021121212011
433112323222100113310
5114242442320412040
62124503502534004
7136152114625465
oct17267352202764
93656181247764
101055415404020
1137766553215a
12150668597304
13786a9c6cc33
143912208cd6c
151c6c176a3ea
hexf5bba905f4

1055415404020 has 48 divisors (see below), whose sum is σ = 2346832535040. Its totient is φ = 397318408704.

The previous prime is 1055415403949. The next prime is 1055415404023. The reversal of 1055415404020 is 204045145501.

It is a happy number.

It is a super-3 number, since 3×10554154040203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055415404023) 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 15 ways as a sum of consecutive naturals, for example, 16085641 + ... + 16151119.

It is an arithmetic number, because the mean of its divisors is an integer number (48892344480).

Almost surely, 21055415404020 is an apocalyptic number.

1055415404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055415404020 is an abundant number, since it is smaller than the sum of its proper divisors (1291417131020).

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

1055415404020 is a wasteful number, since it uses less digits than its factorization.

1055415404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112912 (or 112910 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 1055415404020 in words is "one trillion, fifty-five billion, four hundred fifteen million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 47407 65479 94814 130958 189628 237035 261916 327395 474070 654790 805919 948140 1113143 1309580 1611838 2226286 3223676 4029595 4452572 5565715 8059190 11131430 16118380 22262860 3104162953 6208325906 12416651812 15520814765 31041629530 52770770201 62083259060 105541540402 211083080804 263853851005 527707702010 1055415404020