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433422364540 = 2251110149139727
BaseRepresentation
bin1100100111010011111…
…11000110111101111100
31112102201221122101221011
412103221333012331330
524100122111131130
6531040025245004
743212416212024
oct6235177067574
91472657571834
10433422364540
111578a4697580
1270000333764
1331b43a599c9
1416d98d5aa84
15b41abe652a
hex64e9fc6f7c

433422364540 has 96 divisors (see below), whose sum is σ = 1004829815808. Its totient is φ = 155725920000.

The previous prime is 433422364499. The next prime is 433422364547. The reversal of 433422364540 is 45463224334.

It is a junction number, because it is equal to n+sod(n) for n = 433422364493 and 433422364502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433422364547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10890157 + ... + 10929883.

It is an arithmetic number, because the mean of its divisors is an integer number (10466977248).

Almost surely, 2433422364540 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 433422364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502414907904).

433422364540 is an abundant number, since it is smaller than the sum of its proper divisors (571407451268).

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

433422364540 is a wasteful number, since it uses less digits than its factorization.

433422364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40339 (or 40337 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 433422364540 its reverse (45463224334), we get a palindrome (478885588874).

The spelling of 433422364540 in words is "four hundred thirty-three billion, four hundred twenty-two million, three hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 491 505 982 1010 1111 1964 2020 2222 2455 4444 4910 5401 5555 9820 10802 11110 21604 22220 27005 39727 49591 54010 79454 99182 108020 158908 198364 198635 247955 397270 436997 495910 545501 794540 873994 991820 1091002 1747988 2182004 2184985 2727505 4012427 4369970 5455010 8024854 8739940 10910020 16049708 19505957 20062135 39011914 40124270 44136697 78023828 80248540 88273394 97529785 176546788 195059570 214565527 220683485 390119140 429131054 441366970 858262108 882733940 1072827635 1970101657 2145655270 3940203314 4291310540 7880406628 9850508285 19701016570 21671118227 39402033140 43342236454 86684472908 108355591135 216711182270 433422364540