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4351145454040 = 2357111412709563
BaseRepresentation
bin111111010100010100011…
…110101010100111011000
3120101222001210210222211211
4333110110132222213120
51032242121214012130
613130515535432504
7626234304056410
oct77242436524730
916358053728754
104351145454040
1114283461a1550
125a3345985734
13257407aa0bc8
1411084cd83640
15782b3872a2a
hex3f5147aa9d8

4351145454040 has 64 divisors (see below), whose sum is σ = 12205810632960. Its totient is φ = 1356201179520.

The previous prime is 4351145454011. The next prime is 4351145454043. The reversal of 4351145454040 is 404545411534.

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 = 4351145453984 and 4351145454002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4351145454043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706351702 + ... + 706357861.

It is an arithmetic number, because the mean of its divisors is an integer number (190715791140).

Almost surely, 24351145454040 is an apocalyptic number.

4351145454040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4351145454040 is an abundant number, since it is smaller than the sum of its proper divisors (7854665178920).

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

4351145454040 is a wasteful number, since it uses less digits than its factorization.

4351145454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412709592 (or 1412709588 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 4351145454040 in words is "four trillion, three hundred fifty-one billion, one hundred forty-five million, four hundred fifty-four thousand, 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 1412709563 2825419126 5650838252 7063547815 9888966941 11301676504 14127095630 15539805193 19777933882 28254191260 31079610386 39555867764 49444834705 56508382520 62159220772 77699025965 79111735528 98889669410 108778636351 124318441544 155398051930 197779338820 217557272702 310796103860 395558677640 435114545404 543893181755 621592207720 870229090808 1087786363510 2175572727020 4351145454040