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1144042434 = 233414361197
BaseRepresentation
bin100010000110000…
…1011001111000010
32221201201101012000
41010030023033002
54320333324214
6305304444430
740231125453
oct10414131702
92851641160
101144042434
11537867017
1227b179716
131530314b2
14abd2512a
156a685809
hex4430b3c2

1144042434 has 128 divisors (see below), whose sum is σ = 2722325760. Its totient is φ = 355622400.

The previous prime is 1144042429. The next prime is 1144042447. The reversal of 1144042434 is 4342404411.

1144042434 is a `hidden beast` number, since 1 + 14 + 404 + 243 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1144042398 and 1144042407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5807224 + ... + 5807420.

It is an arithmetic number, because the mean of its divisors is an integer number (21268170).

Almost surely, 21144042434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144042434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361162880).

1144042434 is an abundant number, since it is smaller than the sum of its proper divisors (1578283326).

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

1144042434 is a wasteful number, since it uses less digits than its factorization.

1144042434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1144042434 is about 33823.6963385139. The cubic root of 1144042434 is about 1045.8772374868.

Adding to 1144042434 its reverse (4342404411), we get a palindrome (5486446845).

The spelling of 1144042434 in words is "one billion, one hundred forty-four million, forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 43 54 61 82 86 122 123 129 183 197 246 258 366 369 387 394 549 591 738 774 1098 1107 1161 1182 1647 1763 1773 2214 2322 2501 2623 3294 3526 3546 5002 5246 5289 5319 7503 7869 8077 8471 10578 10638 12017 15006 15738 15867 16154 16942 22509 23607 24034 24231 25413 31734 36051 45018 47214 47601 48462 50826 67527 70821 72102 72693 76239 95202 107543 108153 135054 141642 145386 152478 215086 216306 218079 228717 322629 324459 347311 436158 457434 492697 516731 645258 648918 694622 967887 985394 1033462 1041933 1478091 1550193 1935774 2083866 2903661 2956182 3100386 3125799 4434273 4650579 5807322 6251598 8868546 9301158 9377397 13302819 13951737 18754794 21185971 26605638 27903474 42371942 63557913 127115826 190673739 381347478 572021217 1144042434