Search a number
-
+
42000432023040 = 29355468806253
BaseRepresentation
bin10011000110010111111001…
…10101001100011000000000
312111201012110022200220110220
421203023330311030120000
521001113341044214130
6225154422045023040
711563300600506141
oct1143137465143000
9174635408626426
1042000432023040
1112423312a23197
124863b6b854a80
131a588154a316a
14a52b904a7ac8
154cc7daad6410
hex2632fcd4c600

42000432023040 has 80 divisors (see below), whose sum is σ = 134270131148208. Its totient is φ = 11200115204096.

The previous prime is 42000432023023. The next prime is 42000432023111. The reversal of 42000432023040 is 4032023400024.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42000432023040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2734395447 + ... + 2734410806.

Almost surely, 242000432023040 is an apocalyptic number.

42000432023040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000432023040 is an abundant number, since it is smaller than the sum of its proper divisors (92269699125168).

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

42000432023040 is an equidigital number, since it uses as much as digits as its factorization.

42000432023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468806279 (or 5468806263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42000432023040 its reverse (4032023400024), we get a palindrome (46032455423064).

The spelling of 42000432023040 in words is "forty-two trillion, four hundred thirty-two million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 5468806253 10937612506 16406418759 21875225012 27344031265 32812837518 43750450024 54688062530 65625675036 82032093795 87500900048 109376125060 131251350072 164064187590 175001800096 218752250120 262502700144 328128375180 350003600192 437504500240 525005400288 656256750360 700007200384 875009000480 1050010800576 1312513500720 1400014400768 1750018000960 2100021601152 2625027001440 2800028801536 3500036001920 4200043202304 5250054002880 7000072003840 8400086404608 10500108005760 14000144007680 21000216011520 42000432023040