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145663034440 = 23571147293193
BaseRepresentation
bin1000011110101000110…
…0011000010001001000
3111220222111200211120111
42013222030120101020
54341304214100230
6150530000204104
713344444235540
oct2075214302110
9456874624514
10145663034440
1156858a927a0
1224292309634
1310974bb9651
14709b7a4320
153bc7e9792a
hex21ea318448

145663034440 has 64 divisors (see below), whose sum is σ = 408613196160. Its totient is φ = 45401464320.

The previous prime is 145663034393. The next prime is 145663034449. The reversal of 145663034440 is 44430366541.

It is a super-2 number, since 2×1456630344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145663034393 and 145663034402.

It is not an unprimeable number, because it can be changed into a prime (145663034449) 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, 23643517 + ... + 23649676.

It is an arithmetic number, because the mean of its divisors is an integer number (6384581190).

Almost surely, 2145663034440 is an apocalyptic number.

145663034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145663034440 is an abundant number, since it is smaller than the sum of its proper divisors (262950161720).

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

145663034440 is a wasteful number, since it uses less digits than its factorization.

145663034440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47293222 (or 47293218 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 145663034440 in words is "one hundred forty-five billion, six hundred sixty-three million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 47293193 94586386 189172772 236465965 331052351 378345544 472931930 520225123 662104702 945863860 1040450246 1324209404 1655261755 1891727720 2080900492 2601125615 2648418808 3310523510 3641575861 4161800984 5202251230 6621047020 7283151722 10404502460 13242094040 14566303444 18207879305 20809004920 29132606888 36415758610 72831517220 145663034440