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153043552440 = 23335359394727
BaseRepresentation
bin1000111010001000011…
…0110100100010111000
3112122000212102222221000
42032202012310202320
510001413122134230
6154150210245000
714025363505662
oct2164206644270
9478025388830
10153043552440
11599a6106149
12257b1b86760
131157cca246c
14759ba93532
153eaadc7b60
hex23a21b48b8

153043552440 has 128 divisors (see below), whose sum is σ = 511567488000. Its totient is φ = 40697829504.

The previous prime is 153043552393. The next prime is 153043552451. The reversal of 153043552440 is 44255340351.

153043552440 is a `hidden beast` number, since 1 + 53 + 0 + 43 + 5 + 524 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153043552395 and 153043552404.

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, 190357 + ... + 585083.

It is an arithmetic number, because the mean of its divisors is an integer number (3996621000).

Almost surely, 2153043552440 is an apocalyptic number.

153043552440 is a gapful number since it is divisible by the number (10) 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 153043552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255783744000).

153043552440 is an abundant number, since it is smaller than the sum of its proper divisors (358523935560).

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

153043552440 is a wasteful number, since it uses less digits than its factorization.

153043552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395106 (or 395096 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 153043552440 its reverse (44255340351), we get a palindrome (197298892791).

The spelling of 153043552440 in words is "one hundred fifty-three billion, forty-three million, five hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 359 360 540 718 1077 1080 1436 1795 2154 2872 3231 3590 4308 5385 6462 7180 8616 9693 10770 12924 14360 16155 19386 21540 25848 32310 38772 43080 48465 64620 77544 96930 129240 193860 387720 394727 789454 1184181 1578908 1973635 2368362 3157816 3552543 3947270 4736724 5920905 7105086 7894540 9473448 10657629 11841810 14210172 15789080 17762715 21315258 23683620 28420344 35525430 42630516 47367240 53288145 71050860 85261032 106576290 141706993 142101720 213152580 283413986 425120979 426305160 566827972 708534965 850241958 1133655944 1275362937 1417069930 1700483916 2125604895 2550725874 2834139860 3400967832 3826088811 4251209790 5101451748 5668279720 6376814685 7652177622 8502419580 10202903496 12753629370 15304355244 17004839160 19130444055 25507258740 30608710488 38260888110 51014517480 76521776220 153043552440