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1141077456 = 243697829
BaseRepresentation
bin100010000000011…
…0111010111010000
32221112010202000000
41010000313113100
54314103434311
6305121130000
740163666301
oct10400672720
92845122000
101141077456
11536121422
1227a189900
13152533a7c
14ab7927a8
156a29c056
hex440375d0

1141077456 has 70 divisors (see below), whose sum is σ = 3314773890. Its totient is φ = 380355264.

The previous prime is 1141077389. The next prime is 1141077473. The reversal of 1141077456 is 6547701411.

It can be written as a sum of positive squares in only one way, i.e., 1035809856 + 105267600 = 32184^2 + 10260^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1141077456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 37251 + ... + 60578.

Almost surely, 21141077456 is an apocalyptic number.

1141077456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1141077456 is an abundant number, since it is smaller than the sum of its proper divisors (2173696434).

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

1141077456 is an frugal number, since it uses more digits than its factorization.

1141077456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97855 (or 97834 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1141077456 is about 33779.8380102688. The cubic root of 1141077456 is about 1044.9729336793.

Adding to 1141077456 its reverse (6547701411), we get a palindrome (7688778867).

The spelling of 1141077456 in words is "one billion, one hundred forty-one million, seventy-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 97829 195658 293487 391316 586974 782632 880461 1173948 1565264 1760922 2347896 2641383 3521844 4695792 5282766 7043688 7924149 10565532 14087376 15848298 21131064 23772447 31696596 42262128 47544894 63393192 71317341 95089788 126786384 142634682 190179576 285269364 380359152 570538728 1141077456