Search a number
-
+
40335331152 = 2432953896143
BaseRepresentation
bin100101100100001011…
…000100111101010000
310212010001001010100210
4211210023010331100
51130101321044102
630310234044120
72625355441434
oct454413047520
9125101033323
1040335331152
1116119274326
127998279640
133a5a6a0a6c
141d48d3a9c4
1510b117436c
hex9642c4f50

40335331152 has 160 divisors (see below), whose sum is σ = 111078604800. Its totient is φ = 12591394816.

The previous prime is 40335331147. The next prime is 40335331189. The reversal of 40335331152 is 25113353304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6562993 + ... + 6569135.

It is an arithmetic number, because the mean of its divisors is an integer number (694241280).

Almost surely, 240335331152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40335331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55539302400).

40335331152 is an abundant number, since it is smaller than the sum of its proper divisors (70743273648).

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

40335331152 is a wasteful number, since it uses less digits than its factorization.

40335331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6319 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 40335331152 its reverse (25113353304), we get a palindrome (65448684456).

The spelling of 40335331152 in words is "forty billion, three hundred thirty-five million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 53 58 87 89 106 116 159 174 178 212 232 267 318 348 356 424 464 534 636 696 712 848 1068 1272 1392 1424 1537 2136 2544 2581 3074 4272 4611 4717 5162 6143 6148 7743 9222 9434 10324 12286 12296 14151 15486 18429 18444 18868 20648 24572 24592 28302 30972 36858 36888 37736 41296 49144 56604 61944 73716 73776 75472 98288 113208 123888 136793 147432 178147 226416 273586 294864 325579 356294 410379 534441 546727 547172 651158 712588 820758 976737 1068882 1093454 1094344 1302316 1425176 1640181 1641516 1953474 2137764 2186908 2188688 2604632 2850352 3280362 3283032 3906948 4275528 4373816 5209264 6560724 6566064 7813896 8551056 8747632 9441791 13121448 15627792 15855083 18883582 26242896 28325373 28976531 31710166 37767164 47565249 56650746 57953062 63420332 75534328 86929593 95130498 113301492 115906124 126840664 151068656 173859186 190260996 226602984 231812248 253681328 347718372 380521992 453205968 463624496 695436744 761043984 840319399 1390873488 1680638798 2520958197 3361277596 5041916394 6722555192 10083832788 13445110384 20167665576 40335331152