Search a number
-
+
1043960801536 = 2819233612
BaseRepresentation
bin11110011000100001110…
…10011010100100000000
310200210122102102112020201
433030100322122210000
5114101012431122121
62115331115014544
7135265215254122
oct17142072324400
93623572375221
101043960801536
11372817724834
1214a3b043a454
13775a2ac6a43
1438756a83212
151c250d2de91
hexf310e9a900

1043960801536 has 81 divisors (see below), whose sum is σ = 2199946582953. Its totient is φ = 494360616960.

The previous prime is 1043960801503. The next prime is 1043960801539. The reversal of 1043960801536 is 6351080693401.

The square root of 1043960801536 is 1021744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 783125883136 + 260834918400 = 884944^2 + 510720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1043960801539) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 310608496 + ... + 310611856.

Almost surely, 21043960801536 is an apocalyptic number.

1043960801536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1043960801536 is the 1021744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043960801536

1043960801536 is an abundant number, since it is smaller than the sum of its proper divisors (1155985781417).

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

1043960801536 is an frugal number, since it uses more digits than its factorization.

1043960801536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 1043960801536 in words is "one trillion, forty-three billion, nine hundred sixty million, eight hundred one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 608 722 1216 1444 2432 2888 3361 4864 5776 6722 11552 13444 23104 26888 46208 53776 63859 92416 107552 127718 215104 255436 430208 510872 860416 1021744 1213321 2043488 2426642 4086976 4853284 8173952 9706568 11296321 16347904 19413136 22592642 38826272 45185284 77652544 90370568 155305088 180741136 214630099 310610176 361482272 429260198 722964544 858520396 1445929088 1717040792 2891858176 3434081584 4077971881 6868163168 8155943762 13736326336 16311887524 27472652672 32623775048 54945305344 65247550096 130495100192 260990200384 521980400768 1043960801536