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423321420132 = 223413611647601
BaseRepresentation
bin1100010100011111110…
…11000100000101100100
31111110122222221021010000
412022033323010011210
523413430240421012
6522245435101300
742404204462352
oct6121773040544
91443588837100
10423321420132
111535909a6536
126a0615a1830
1330bc4187c20
14166bb63c7d2
15b029048ddc
hex628fec4164

423321420132 has 120 divisors (see below), whose sum is σ = 1211310399992. Its totient is φ = 128117376000.

The previous prime is 423321420103. The next prime is 423321420143. The reversal of 423321420132 is 231024123324.

423321420132 is a `hidden beast` number, since 4 + 233 + 2 + 1 + 420 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 332478756 + 422988941376 = 18234^2 + 650376^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 423321420096 and 423321420105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 566869 + ... + 1080732.

Almost surely, 2423321420132 is an apocalyptic number.

It is an amenable number.

423321420132 is an abundant number, since it is smaller than the sum of its proper divisors (787988979860).

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

423321420132 is a wasteful number, since it uses less digits than its factorization.

423321420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647691 (or 1647680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423321420132 its reverse (231024123324), we get a palindrome (654345543456).

The spelling of 423321420132 in words is "four hundred twenty-three billion, three hundred twenty-one million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 81 108 117 122 156 162 183 234 244 324 351 366 468 549 702 732 793 1053 1098 1404 1586 1647 2106 2196 2379 3172 3294 4212 4758 4941 6588 7137 9516 9882 14274 19764 21411 28548 42822 64233 85644 128466 256932 1647601 3295202 4942803 6590404 9885606 14828409 19771212 21418813 29656818 42837626 44485227 59313636 64256439 85675252 88970454 100503661 128512878 133455681 177940908 192769317 201007322 257025756 266911362 301510983 385538634 402014644 533822724 578307951 603021966 771077268 904532949 1156615902 1206043932 1306547593 1734923853 1809065898 2313231804 2613095186 2713598847 3469847706 3618131796 3919642779 5226190372 5427197694 6939695412 7839285558 8140796541 10854395388 11758928337 15678571116 16281593082 23517856674 32563186164 35276785011 47035713348 70553570022 105830355033 141107140044 211660710066 423321420132