Search a number
-
+
1042002015544 = 237275714812371
BaseRepresentation
bin11110010100111000010…
…10001111010100111000
310200121120220121220000101
433022130022033110320
5114033010003444134
62114404503245144
7135165531664600
oct17123412172470
93617526556011
101042002015544
11371a01a77936
12149b444497b4
137735004c989
143860c875c00
151c188dace14
hexf29c28f538

1042002015544 has 96 divisors (see below), whose sum is σ = 2278233369360. Its totient is φ = 445493260800.

The previous prime is 1042002015521. The next prime is 1042002015581. The reversal of 1042002015544 is 4455102002401.

1042002015544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439476679 + ... + 439479049.

Almost surely, 21042002015544 is an apocalyptic number.

1042002015544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042002015544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139116684680).

1042002015544 is an abundant number, since it is smaller than the sum of its proper divisors (1236231353816).

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

1042002015544 is a wasteful number, since it uses less digits than its factorization.

1042002015544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4629 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 1042002015544 its reverse (4455102002401), we get a palindrome (5497104017945).

The spelling of 1042002015544 in words is "one trillion, forty-two billion, two million, fifteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 757 1481 1514 2371 2962 3028 4742 5299 5924 6056 9484 10367 10598 11848 16597 18968 20734 21196 33194 37093 41468 42392 66388 72569 74186 82936 116179 132776 145138 148372 232358 290276 296744 464716 580552 929432 1121117 1794847 2242234 3511451 3589694 4484468 7022902 7179388 7847819 8968936 12563929 14045804 14358776 15695638 24580157 25127858 28091608 31391276 49160314 50255716 54934733 62782552 87947503 98320628 100511432 109869466 172061099 175895006 196641256 219738932 344122198 351790012 439477864 688244396 703580024 1376488792 2658168407 5316336814 10632673628 18607178849 21265347256 37214357698 74428715396 130250251943 148857430792 260500503886 521001007772 1042002015544