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154430020044 = 223325126321661
BaseRepresentation
bin1000111111010010111…
…1110001100111001100
3112202121111022211221000
42033310233301213030
510012233041120134
6154535535140300
714104630340406
oct2176457614714
9482544284830
10154430020044
115a5477a1843
1225b1a374690
13117412c35b1
14768dc81b76
15403c997e99
hex23f4bf19cc

154430020044 has 96 divisors (see below), whose sum is σ = 403516270080. Its totient is φ = 51074280000.

The previous prime is 154430020037. The next prime is 154430020079. The reversal of 154430020044 is 440020034451.

It is a happy number.

154430020044 is a `hidden beast` number, since 15 + 443 + 0 + 0 + 200 + 4 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7118574 + ... + 7140234.

It is an arithmetic number, because the mean of its divisors is an integer number (4203294480).

Almost surely, 2154430020044 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 154430020044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201758135040).

154430020044 is an abundant number, since it is smaller than the sum of its proper divisors (249086250036).

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

154430020044 is a wasteful number, since it uses less digits than its factorization.

154430020044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22188 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 154430020044 its reverse (440020034451), we get a palindrome (594450054495).

The spelling of 154430020044 in words is "one hundred fifty-four billion, four hundred thirty million, twenty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 263 502 526 753 789 1004 1052 1506 1578 2259 2367 3012 3156 4518 4734 6777 7101 9036 9468 13554 14202 21661 27108 28404 43322 64983 66013 86644 129966 132026 194949 198039 259932 264052 389898 396078 584847 594117 779796 792156 1169694 1188234 1782351 2339388 2376468 3564702 5436911 5696843 7129404 10873822 11393686 16310733 17090529 21747644 22787372 32621466 34181058 48932199 51271587 65242932 68362116 97864398 102543174 146796597 153814761 195728796 205086348 293593194 307629522 587186388 615259044 1429907593 2859815186 4289722779 5719630372 8579445558 12869168337 17158891116 25738336674 38607505011 51476673348 77215010022 154430020044