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378231999954944 = 24343
BaseRepresentation
bin101011000000000000000000…
…0000000000000000000000000
31211121012121220101210120210212
41112000000000000000000000
5344033423113442024234
63420233214304013252
7142445234361311552
oct12600000000000000
91747177811716725
10378231999954944
11aa575321539833
1236507a8b601228
1313308180846905
14695875290d4d2
152dada37c1c5ce
hex1580000000000

378231999954944 has 88 divisors (see below), whose sum is σ = 774056185954260. Its totient is φ = 184717953466368.

The previous prime is 378231999954883. The next prime is 378231999954989. The reversal of 378231999954944 is 449459999132873.

It is an ABA number since it can be written as A⋅BA, here for A=43, B=2.

It is a Harshad number since it is a multiple of its sum of digits (86).

Its product of digits (19046845440) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8796093022187 + ... + 8796093022229.

Almost surely, 2378231999954944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378231999954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387028092977130).

378231999954944 is an abundant number, since it is smaller than the sum of its proper divisors (395824185999316).

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

378231999954944 is an frugal number, since it uses more digits than its factorization.

378231999954944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 45 counting only the distinct ones).

The product of its digits is 19046845440, while the sum is 86.

378231999954944 divided by its sum of digits (86) gives a 42-nd power (4398046511104 = 242).

The spelling of 378231999954944 in words is "three hundred seventy-eight trillion, two hundred thirty-one billion, nine hundred ninety-nine million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2048 2752 4096 5504 8192 11008 16384 22016 32768 44032 65536 88064 131072 176128 262144 352256 524288 704512 1048576 1409024 2097152 2818048 4194304 5636096 8388608 11272192 16777216 22544384 33554432 45088768 67108864 90177536 134217728 180355072 268435456 360710144 536870912 721420288 1073741824 1442840576 2147483648 2885681152 4294967296 5771362304 8589934592 11542724608 17179869184 23085449216 34359738368 46170898432 68719476736 92341796864 137438953472 184683593728 274877906944 369367187456 549755813888 738734374912 1099511627776 1477468749824 2199023255552 2954937499648 4398046511104 5909874999296 8796093022208 11819749998592 23639499997184 47278999994368 94557999988736 189115999977472 378231999954944