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315456031420152 = 23372657740785301
BaseRepresentation
bin100011110111001111101010…
…0101100011110111011111000
31112100221022011012212101201220
41013232133110230132323320
5312321412423020421102
63034530300013512040
7123305642351043600
oct10756372454367370
91470838135771656
10315456031420152
11915721738a66a7
122b4695aa7a2620
13107034b744c8bc
1457c8220c6bc00
152670b06a041bc
hex11ee7d4b1eef8

315456031420152 has 96 divisors (see below), whose sum is σ = 917537150621520. Its totient is φ = 90116588620800.

The previous prime is 315456031420151. The next prime is 315456031420199. The reversal of 315456031420152 is 251024130654513.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315456031420151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12658099 + ... + 28127202.

Almost surely, 2315456031420152 is an apocalyptic number.

It is an amenable number.

315456031420152 is an abundant number, since it is smaller than the sum of its proper divisors (602081119201368).

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

315456031420152 is a wasteful number, since it uses less digits than its factorization.

315456031420152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40791901 (or 40791890 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 315456031420152 in words is "three hundred fifteen trillion, four hundred fifty-six billion, thirty-one million, four hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 6577 13154 19731 26308 39462 46039 52616 78924 92078 138117 157848 184156 276234 322273 368312 552468 644546 966819 1104936 1289092 1933638 2578184 3867276 7734552 40785301 81570602 122355903 163141204 244711806 285497107 326282408 489423612 570994214 856491321 978847224 1141988428 1712982642 1998479749 2283976856 3425965284 3996959498 5995439247 6851930568 7993918996 11990878494 15987837992 23981756988 47963513976 268244924677 536489849354 804734774031 1072979698708 1609469548062 1877714472739 2145959397416 3218939096124 3755428945478 5633143418217 6437878192248 7510857890956 11266286836434 13144001309173 15021715781912 22532573672868 26288002618346 39432003927519 45065147345736 52576005236692 78864007855038 105152010473384 157728015710076 315456031420152