Search a number
-
+
11451455601432 = 23371122717272777
BaseRepresentation
bin1010011010100011111111…
…1100010111101100011000
31111112202012122000102201020
42212220333330113230120
53000110040113221212
640204420455522440
72261224513400130
oct246507774275430
944482178012636
1011451455601432
11371559816a250
12134b451389420
13650b3824a722
142b83794d1ac0
1514cd2a621d8c
hexa6a3ff17b18

11451455601432 has 128 divisors (see below), whose sum is σ = 35694550679040. Its totient is φ = 2974262215680.

The previous prime is 11451455601413. The next prime is 11451455601433. The reversal of 11451455601432 is 23410655415411.

It is a happy number.

It is a super-2 number, since 2×114514556014322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451455601433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41844628 + ... + 42117404.

It is an arithmetic number, because the mean of its divisors is an integer number (278863677180).

Almost surely, 211451455601432 is an apocalyptic number.

11451455601432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11451455601432 is an abundant number, since it is smaller than the sum of its proper divisors (24243095077608).

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

11451455601432 is a wasteful number, since it uses less digits than its factorization.

11451455601432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295521 (or 295517 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 11451455601432 in words is "eleven trillion, four hundred fifty-one billion, four hundred fifty-five million, six hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 22717 45434 68151 90868 136302 159019 181736 249887 272604 272777 318038 477057 499774 545208 545554 636076 749661 818331 954114 999548 1091108 1272152 1499322 1636662 1749209 1908228 1909439 1999096 2182216 2998644 3000547 3273324 3498418 3816456 3818878 5247627 5728317 5997288 6001094 6546648 6996836 7637756 9001641 10495254 11456634 12002188 13993672 15275512 18003282 20990508 21003829 22913268 24004376 36006564 41981016 42007658 45826536 63011487 72013128 84015316 126022974 168030632 252045948 504091896 6196675109 12393350218 18590025327 24786700436 37180050654 43376725763 49573400872 68163426199 74360101308 86753451526 130130177289 136326852398 148720202616 173506903052 204490278597 260260354578 272653704796 347013806104 408980557194 477143983393 520520709156 545307409592 817961114388 954287966786 1041041418312 1431431950179 1635922228776 1908575933572 2862863900358 3817151867144 5725727800716 11451455601432