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128385317440 = 2655311036863
BaseRepresentation
bin111011110010001011…
…1000111101001000000
3110021101101121212120001
41313210113013221000
54100413120124230
6134551314525344
712163336123012
oct1674427075100
9407341555501
10128385317440
114a4a218a236
1220a6bb96854
13c1504caa73
1462dcc721b2
1535162140ca
hex1de45c7a40

128385317440 has 112 divisors (see below), whose sum is σ = 311813618688. Its totient is φ = 50332166144.

The previous prime is 128385317407. The next prime is 128385317471. The reversal of 128385317440 is 44713583821.

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, 18703449 + ... + 18710311.

Almost surely, 2128385317440 is an apocalyptic number.

128385317440 is a gapful number since it is divisible by the number (10) 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 128385317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155906809344).

128385317440 is an abundant number, since it is smaller than the sum of its proper divisors (183428301248).

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

128385317440 is a wasteful number, since it uses less digits than its factorization.

128385317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 128385317440 in words is "one hundred twenty-eight billion, three hundred eighty-five million, three hundred seventeen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1103 1696 2120 2206 3392 4240 4412 5515 6863 8480 8824 11030 13726 16960 17648 22060 27452 34315 35296 44120 54904 58459 68630 70592 88240 109808 116918 137260 176480 219616 233836 274520 292295 352960 363739 439232 467672 549040 584590 727478 935344 1098080 1169180 1454956 1818695 1870688 2196160 2338360 2909912 3637390 3741376 4676720 5819824 7274780 7569889 9353440 11639648 14549560 15139778 18706880 23279296 29099120 30279556 37849445 58198240 60559112 75698890 116396480 121118224 151397780 242236448 302795560 401204117 484472896 605591120 802408234 1211182240 1604816468 2006020585 2422364480 3209632936 4012041170 6419265872 8024082340 12838531744 16048164680 25677063488 32096329360 64192658720 128385317440