Search a number
-
+
421020201024 = 2632372533921
BaseRepresentation
bin1100010000001101100…
…00100111000001000000
31111020201121210012221200
412020012300213001000
523344222132413044
6521225232021200
742263162442633
oct6100660470100
91436647705850
10421020201024
1115260aa22565
126971a991800
13309184a6c07
141653db73c1a
15ae41ed6369
hex6206c27040

421020201024 has 126 divisors (see below), whose sum is σ = 1240277847354. Its totient is φ = 136546836480.

The previous prime is 421020201023. The next prime is 421020201127. The reversal of 421020201024 is 420102020124.

421020201024 is a `hidden beast` number, since 421 + 0 + 20 + 201 + 0 + 24 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 220824806400 + 200195394624 = 469920^2 + 447432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 421020200988 and 421020201006.

It is not an unprimeable number, because it can be changed into a prime (421020201023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 521584 + ... + 1055504.

It is an arithmetic number, because the mean of its divisors is an integer number (9843474979).

Almost surely, 2421020201024 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 421020201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620138923677).

421020201024 is an abundant number, since it is smaller than the sum of its proper divisors (819257646330).

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

421020201024 is a wasteful number, since it uses less digits than its factorization.

421020201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534013 (or 533963 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 421020201024 its reverse (420102020124), we get a palindrome (841122221148).

The spelling of 421020201024 in words is "four hundred twenty-one billion, twenty million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1369 1776 2368 2664 2738 3552 4107 5328 5476 7104 8214 10656 10952 12321 16428 21312 21904 24642 32856 43808 49284 65712 87616 98568 131424 197136 262848 394272 533921 788544 1067842 1601763 2135684 3203526 4271368 4805289 6407052 8542736 9610578 12814104 17085472 19221156 19755077 25628208 34170944 38442312 39510154 51256416 59265231 76884624 79020308 102512832 118530462 153769248 158040616 177795693 237060924 307538496 316081232 355591386 474121848 632162464 711182772 730937849 948243696 1264324928 1422365544 1461875698 1896487392 2192813547 2844731088 2923751396 3792974784 4385627094 5689462176 5847502792 6578440641 8771254188 11378924352 11695005584 13156881282 17542508376 23390011168 26313762564 35085016752 46780022336 52627525128 70170033504 105255050256 140340067008 210510100512 421020201024