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145404110432 = 2575916765881
BaseRepresentation
bin1000011101101011000…
…0101010011001100000
3111220022110111010121102
42013122300222121200
54340241423013212
6150444150413532
713335151355210
oct2073260523140
9456273433542
10145404110432
1156735914309
122421b6612a8
1310933371089
147075244240
153bb039e5c2
hex21dac2a660

145404110432 has 96 divisors (see below), whose sum is σ = 334701642240. Its totient is φ = 60892093440.

The previous prime is 145404110431. The next prime is 145404110543. The reversal of 145404110432 is 234011404541.

It is a super-2 number, since 2×1454041104322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145404110395 and 145404110404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145404110431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174132 + ... + 2240012.

It is an arithmetic number, because the mean of its divisors is an integer number (3486475440).

Almost surely, 2145404110432 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 145404110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167350821120).

145404110432 is an abundant number, since it is smaller than the sum of its proper divisors (189297531808).

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

145404110432 is a wasteful number, since it uses less digits than its factorization.

145404110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66124 (or 66116 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 145404110432 its reverse (234011404541), we get a palindrome (379415514973).

The spelling of 145404110432 in words is "one hundred forty-five billion, four hundred four million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 167 224 236 334 413 472 668 826 944 1169 1336 1652 1888 2338 2672 3304 4676 5344 6608 9352 9853 13216 18704 19706 37408 39412 65881 68971 78824 131762 137942 157648 263524 275884 315296 461167 527048 551768 922334 1054096 1103536 1844668 2108192 2207072 3689336 3886979 7378672 7773958 11002127 14757344 15547916 22004254 27208853 31095832 44008508 54417706 62191664 77014889 88017016 108835412 124383328 154029778 176034032 217670824 308059556 352068064 435341648 616119112 649125493 870683296 1232238224 1298250986 2464476448 2596501972 4543878451 5193003944 9087756902 10386007888 18175513804 20772015776 36351027608 72702055216 145404110432