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315442503132144 = 243231731651600607
BaseRepresentation
bin100011110111001001010111…
…0010110001010001111110000
31112100220000020102000011100220
41013232102232112022033300
5312321202221300212034
63034520141351413040
7123304653201353643
oct10756225626121760
91470800212004326
10315442503132144
11915674614a3693
122b466a54084180
131070213c7a015b
1457c76da2a5a5a
1526705b3eec749
hex11ee4ae58a3f0

315442503132144 has 80 divisors (see below), whose sum is σ = 855238433236992. Its totient is φ = 99994507089664.

The previous prime is 315442503132131. The next prime is 315442503132173. The reversal of 315442503132144 is 441231305244513.

It is a junction number, because it is equal to n+sod(n) for n = 315442503132096 and 315442503132105.

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, 825609312 + ... + 825991295.

Almost surely, 2315442503132144 is an apocalyptic number.

It is an amenable number.

315442503132144 is an abundant number, since it is smaller than the sum of its proper divisors (539795930104848).

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

315442503132144 is a wasteful number, since it uses less digits than its factorization.

315442503132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651600814 (or 1651600808 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 315442503132144 its reverse (441231305244513), we get a palindrome (756673808376657).

The spelling of 315442503132144 in words is "three hundred fifteen trillion, four hundred forty-two billion, five hundred three million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 173 184 276 346 368 519 552 692 1038 1104 1384 2076 2768 3979 4152 7958 8304 11937 15916 23874 31832 47748 63664 95496 190992 1651600607 3303201214 4954801821 6606402428 9909603642 13212804856 19819207284 26425609712 37986813961 39638414568 75973627922 79276829136 113960441883 151947255844 227920883766 285726905011 303894511688 455841767532 571453810022 607789023376 857180715033 911683535064 1142907620044 1714361430066 1823367070128 2285815240088 3428722860132 4571630480176 6571718815253 6857445720264 13143437630506 13714891440528 19715156445759 26286875261012 39430312891518 52573750522024 78860625783036 105147501044048 157721251566072 315442503132144