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454550046440 = 23572297178059
BaseRepresentation
bin1101001110101010100…
…10110100011011101000
31121110021101002211221012
412213111102310123220
524421404302441230
6544452321003052
744561113434200
oct6472522643350
91543241084835
10454550046440
11165856718706
1274117a83488
1333b2cc58129
1418000d09400
15bc55965395
hex69d54b46e8

454550046440 has 96 divisors (see below), whose sum is σ = 1190130861600. Its totient is φ = 155791278720.

The previous prime is 454550046427. The next prime is 454550046451. The reversal of 454550046440 is 44640055454.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5784131 + ... + 5862189.

It is an arithmetic number, because the mean of its divisors is an integer number (12397196475).

Almost surely, 2454550046440 is an apocalyptic number.

454550046440 is a gapful number since it is divisible by the number (40) 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 454550046440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595065430800).

454550046440 is an abundant number, since it is smaller than the sum of its proper divisors (735580815160).

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

454550046440 is a wasteful number, since it uses less digits than its factorization.

454550046440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81055 (or 81044 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 41.

The spelling of 454550046440 in words is "four hundred fifty-four billion, five hundred fifty million, forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2971 5942 11884 14855 20797 23768 29710 41594 59420 78059 83188 103985 118840 145579 156118 166376 207970 291158 312236 390295 415940 546413 582316 624472 727895 780590 831880 1092826 1164632 1455790 1561180 2185652 2732065 2911580 3122360 3824891 4371304 5464130 5823160 7649782 10928260 15299564 19124455 21856520 30599128 38248910 76497820 152995640 231913289 463826578 927653156 1159566445 1623393023 1855306312 2319132890 3246786046 4638265780 6493572092 8116965115 9276531560 11363751161 12987144184 16233930230 22727502322 32467860460 45455004644 56818755805 64935720920 90910009288 113637511610 227275023220 454550046440