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2543880144 = 243131392211
BaseRepresentation
bin1001011110100000…
…1000011111010000
320120021202111112010
42113220020133100
520202213131034
61100232102520
7120016424121
oct22750103720
96507674463
102543880144
111095a54893
125abb34a40
13317054130
141a1bd4048
15ed4e73e9
hex97a087d0

2543880144 has 120 divisors (see below), whose sum is σ = 7162270752. Its totient is φ = 773418240.

The previous prime is 2543880091. The next prime is 2543880161. The reversal of 2543880144 is 4410883452.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 12056199 + ... + 12056409.

Almost surely, 22543880144 is an apocalyptic number.

2543880144 is a gapful number since it is divisible by the number (24) 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 2543880144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581135376).

2543880144 is an abundant number, since it is smaller than the sum of its proper divisors (4618390608).

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

2543880144 is a wasteful number, since it uses less digits than its factorization.

2543880144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2543880144 is about 50436.8926877935. The cubic root of 2543880144 is about 1365.1034005048.

The spelling of 2543880144 in words is "two billion, five hundred forty-three million, eight hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 211 278 312 417 422 556 624 633 834 844 1112 1266 1668 1688 1807 2224 2532 2743 3336 3376 3614 5064 5421 5486 6672 7228 8229 10128 10842 10972 14456 16458 19321 21684 21944 28912 29329 32916 38642 43368 43888 57963 58658 65832 77284 86736 87987 115926 117316 131664 154568 175974 231852 234632 251173 309136 351948 381277 463704 469264 502346 703896 753519 762554 927408 1004692 1143831 1407792 1507038 1525108 2009384 2287662 3014076 3050216 4018768 4076731 4575324 6028152 6100432 8153462 9150648 12056304 12230193 16306924 18301296 24460386 32613848 48920772 52997503 65227696 97841544 105995006 158992509 195683088 211990012 317985018 423980024 635970036 847960048 1271940072 2543880144