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245131153422144 = 26311473324522689
BaseRepresentation
bin110111101111001000001011…
…010100101011011101000000
31012010221022100112222100122120
4313233020023110223131000
5224112212100234002034
62225203410335204240
7102430066333003563
oct6757101324533500
91163838315870576
10245131153422144
11711195a1607150
12235b0087376680
13a6a19cb759022
1444765a81d84da
151d5165572ac49
hexdef20b52b740

245131153422144 has 112 divisors (see below), whose sum is σ = 707687166548160. Its totient is φ = 74266470154240.

The previous prime is 245131153422047. The next prime is 245131153422167. The reversal of 245131153422144 is 441224351131542.

245131153422144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 245131153422096 and 245131153422105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265249 + ... + 22257440.

Almost surely, 2245131153422144 is an apocalyptic number.

245131153422144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245131153422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353843583274080).

245131153422144 is an abundant number, since it is smaller than the sum of its proper divisors (462556013126016).

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

245131153422144 is a wasteful number, since it uses less digits than its factorization.

245131153422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24527448 (or 24527438 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 245131153422144 in words is "two hundred forty-five trillion, one hundred thirty-one billion, one hundred fifty-three million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 4733 9466 14199 18932 28398 37864 52063 56796 75728 104126 113592 151456 156189 208252 227184 302912 312378 416504 454368 624756 833008 908736 1249512 1666016 2499024 3332032 4998048 9996096 24522689 49045378 73568067 98090756 147136134 196181512 269749579 294272268 392363024 539499158 588544536 784726048 809248737 1078998316 1177089072 1569452096 1618497474 2157996632 2354178144 3236994948 4315993264 4708356288 6473989896 8631986528 12947979792 17263973056 25895959584 51791919168 116065887037 232131774074 348197661111 464263548148 696395322222 928527096296 1276724757407 1392790644444 1857054192592 2553449514814 2785581288888 3714108385184 3830174272221 5106899029628 5571162577776 7428216770368 7660348544442 10213798059256 11142325155552 15320697088884 20427596118512 22284650311104 30641394177768 40855192237024 61282788355536 81710384474048 122565576711072 245131153422144