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154421001024 = 26333110692273
BaseRepresentation
bin1000111111010000110…
…1010111101101000000
3112202120212100122011020
42033310031113231000
510012223234013044
6154535013545440
714104460565033
oct2176415275500
9482525318136
10154421001024
115a5426a1704
1225b17345280
131173c4863b4
14768c9b501a
15403bcb5a19
hex23f4357b40

154421001024 has 112 divisors (see below), whose sum is σ = 410370406080. Its totient is φ = 51247595520.

The previous prime is 154421001023. The next prime is 154421001037. The reversal of 154421001024 is 420100124451.

154421001024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 154421000985 and 154421001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154421001023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67935952 + ... + 67938224.

Almost surely, 2154421001024 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 154421001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205185203040).

154421001024 is an abundant number, since it is smaller than the sum of its proper divisors (255949405056).

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

154421001024 is a wasteful number, since it uses less digits than its factorization.

154421001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 154421001024 its reverse (420100124451), we get a palindrome (574521125475).

The spelling of 154421001024 in words is "one hundred fifty-four billion, four hundred twenty-one million, one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 331 662 993 1069 1324 1986 2138 2273 2648 3207 3972 4276 4546 5296 6414 6819 7944 8552 9092 10592 12828 13638 15888 17104 18184 21184 25656 27276 31776 34208 36368 51312 54552 63552 68416 72736 102624 109104 145472 205248 218208 353839 436416 707678 752363 1061517 1415356 1504726 2123034 2257089 2429837 2830712 3009452 4246068 4514178 4859674 5661424 6018904 7289511 8492136 9028356 9719348 11322848 12037808 14579022 16984272 18056712 19438696 22645696 24075616 29158044 33968544 36113424 38877392 48151232 58316088 67937088 72226848 77754784 116632176 144453696 155509568 233264352 466528704 804276047 1608552094 2412828141 3217104188 4825656282 6434208376 9651312564 12868416752 19302625128 25736833504 38605250256 51473667008 77210500512 154421001024