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42241304130432 = 2731110000308743
BaseRepresentation
bin10011001101011000100011…
…11011010111001110000000
312112120020012010001202220120
421212230101323113032000
521014040142324133212
6225501215350140240
711616555615602121
oct1146542173271600
9175506163052816
1042241304130432
1112506488a53640
1248a2793351680
131a75451453564
14a606c08d2048
154d3bd73ae88c
hex266b11ed7380

42241304130432 has 64 divisors (see below), whose sum is σ = 122403779026560. Its totient is φ = 12800395189760.

The previous prime is 42241304130427. The next prime is 42241304130631. The reversal of 42241304130432 is 23403140314224.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42241304130393 and 42241304130402.

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, 5000150148 + ... + 5000158595.

It is an arithmetic number, because the mean of its divisors is an integer number (1912559047290).

Almost surely, 242241304130432 is an apocalyptic number.

It is an amenable number.

42241304130432 is an abundant number, since it is smaller than the sum of its proper divisors (80162474896128).

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

42241304130432 is a wasteful number, since it uses less digits than its factorization.

42241304130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000308771 (or 10000308759 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 42241304130432 its reverse (23403140314224), we get a palindrome (65644444444656).

The spelling of 42241304130432 in words is "forty-two trillion, two hundred forty-one billion, three hundred four million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 10000308743 20000617486 30000926229 40001234972 60001852458 80002469944 110003396173 120003704916 160004939888 220006792346 240007409832 320009879776 330010188519 440013584692 480014819664 640019759552 660020377038 880027169384 960029639328 1280039519104 1320040754076 1760054338768 1920059278656 2640081508152 3520108677536 3840118557312 5280163016304 7040217355072 10560326032608 14080434710144 21120652065216 42241304130432