Search a number
-
+
40245666654204 = 22331126263491731
BaseRepresentation
bin10010010011010011011001…
…01010100010011111111100
312021111110002201002002112000
421021221230222202133330
520233341111130413304
6221332334245142300
711322440065125204
oct1111515452423774
9167443081062460
1040245666654204
1111907100695500
12461ba683ba990
13195c1c49602cb
149d1c875a3404
1549bd373b6939
hex249a6caa27fc

40245666654204 has 144 divisors (see below), whose sum is σ = 114706992395520. Its totient is φ = 12193684509600.

The previous prime is 40245666654163. The next prime is 40245666654241.

40245666654204 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81599019 + ... + 82090749.

It is an arithmetic number, because the mean of its divisors is an integer number (796576336080).

Almost surely, 240245666654204 is an apocalyptic number.

40245666654204 is a gapful number since it is divisible by the number (44) 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 40245666654204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57353496197760).

40245666654204 is an abundant number, since it is smaller than the sum of its proper divisors (74461325741316).

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

40245666654204 is a wasteful number, since it uses less digits than its factorization.

40245666654204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498029 (or 498010 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 40245666654204 in words is "forty trillion, two hundred forty-five billion, six hundred sixty-six million, six hundred fifty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6263 6534 12526 13068 18789 25052 37578 56367 68893 75156 112734 137786 169101 206679 225468 275572 338202 413358 491731 620037 676404 757823 826716 983462 1240074 1475193 1515646 1860111 1966924 2273469 2480148 2950386 3031292 3720222 4425579 4546938 5409041 5900772 6820407 7440444 8851158 9093876 10818082 13276737 13640814 16227123 17702316 20461221 21636164 26553474 27281628 32454246 40922442 48681369 53106948 59499451 64908492 81844884 97362738 118998902 146044107 178498353 194725476 237997804 292088214 356996706 535495059 584176428 713993412 1070990118 1606485177 2141980236 3079711253 3212970354 6159422506 6425940708 9239133759 12318845012 18478267518 27717401277 33876823783 36956535036 55434802554 67753647566 83152203831 101630471349 110869605108 135507295132 166304407662 203260942698 304891414047 332608815324 372645061613 406521885396 609782828094 745290123226 914674242141 1117935184839 1219565656188 1490580246452 1829348484282 2235870369678 3353805554517 3658696968564 4471740739356 6707611109034 10061416663551 13415222218068 20122833327102 40245666654204