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423132141231324 = 2232752323111389229
BaseRepresentation
bin110000000110101100010000…
…0111110001001110011011100
32001111012001000110000222001100
41200031120200332021303130
5420430044111123400244
64055532115553513100
7155061200625106530
oct14015304076116334
92044161013028040
10423132141231324
111129063737692a8
123b559a15b72790
1315214260a2c195
14766b9c23a7bc0
1533db98852ab69
hex180d620f89cdc

423132141231324 has 144 divisors (see below), whose sum is σ = 1225249825246720. Its totient is φ = 120611441301120.

The previous prime is 423132141231301. The next prime is 423132141231341.

423132141231324 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 321 + 4 + 1 + 2 + 3 + 1 + 324 = 666.

423132141231324 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303885942 + ... + 305275170.

Almost surely, 2423132141231324 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 423132141231324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612624912623360).

423132141231324 is an abundant number, since it is smaller than the sum of its proper divisors (802117684015396).

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

423132141231324 is a wasteful number, since it uses less digits than its factorization.

423132141231324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392080 (or 1392075 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 423132141231324 in words is "four hundred twenty-three trillion, one hundred thirty-two billion, one hundred forty-one million, two hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 523 1046 1569 2092 2311 3138 3661 4622 4707 6276 6933 7322 9244 9414 10983 13866 14644 16177 18828 20799 21966 27732 32354 32949 41598 43932 48531 64708 65898 83196 97062 131796 145593 194124 291186 582372 1208653 1389229 2417306 2778458 3625959 4167687 4834612 5556916 7251918 8335374 8460571 9724603 10877877 12503061 14503836 16670748 16921142 19449206 21755754 25006122 25381713 29173809 33842284 38898412 43511508 50012244 50763426 58347618 76145139 87521427 101526852 116695236 152290278 175042854 304580556 350085708 726566767 1453133534 2179700301 2906267068 3210508219 4359400602 5085967369 6421016438 6539100903 8718801204 9631524657 10171934738 12842032876 13078201806 15257902107 19263049314 20343869476 22473557533 26156403612 28894573971 30515804214 38526098628 44947115066 45773706321 57789147942 61031608428 67420672599 89894230132 91547412642 115578295884 134841345198 183094825284 202262017797 269682690396 404524035594 809048071188 1679095798537 3358191597074 5037287395611 6716383194148 10074574791222 11753670589759 15111862186833 20149149582444 23507341179518 30223724373666 35261011769277 47014682359036 60447448747332 70522023538554 105783035307831 141044047077108 211566070615662 423132141231324