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10143242000430 = 23571138811131413
BaseRepresentation
bin1001001110011010100001…
…0101100001100000101110
31022220200110222022211002120
42103212220111201200232
52312141324423003210
633323424022133410
72064552664303020
oct223465025414056
938820428284076
1010143242000430
1132607a7748060
1211799b3281266
135876715a3266
14270d1515a010
15128cb05ac270
hex939a856182e

10143242000430 has 128 divisors (see below), whose sum is σ = 30358534910976. Its totient is φ = 2107141708800.

The previous prime is 10143242000417. The next prime is 10143242000447. The reversal of 10143242000430 is 3400024234101.

It is a self number, because there is not a number n which added to its sum of digits gives 10143242000430.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8399404 + ... + 9530816.

It is an arithmetic number, because the mean of its divisors is an integer number (237176053992).

Almost surely, 210143242000430 is an apocalyptic number.

10143242000430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143242000430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179267455488).

10143242000430 is an abundant number, since it is smaller than the sum of its proper divisors (20215292910546).

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

10143242000430 is a wasteful number, since it uses less digits than its factorization.

10143242000430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135322.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10143242000430 its reverse (3400024234101), we get a palindrome (13543266234531).

The spelling of 10143242000430 in words is "ten trillion, one hundred forty-three billion, two hundred forty-two million, four hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 3881 7762 11643 19405 23286 27167 38810 42691 54334 58215 81501 85382 116430 128073 135835 163002 213455 256146 271670 298837 407505 426910 597674 640365 815010 896511 1131413 1280730 1494185 1793022 2262826 2988370 3394239 4482555 5657065 6788478 7919891 8965110 11314130 12445543 15839782 16971195 23759673 24891086 33942390 37336629 39599455 47519346 62227715 74673258 79198910 87118801 118798365 124455430 174237602 186683145 237596730 261356403 373366290 435594005 522712806 871188010 1306782015 2613564030 4391013853 8782027706 13173041559 21955069265 26346083118 30737096971 43910138530 48301152383 61474193942 65865207795 92211290913 96602304766 131730415590 144903457149 153685484855 184422581826 241505761915 289806914298 307370969710 338108066681 461056454565 483011523830 676216133362 724517285745 922112909130 1014324200043 1449034571490 1690540333405 2028648400086 3381080666810 5071621000215 10143242000430