Search a number
-
+
4531463431440 = 2435111716463421
BaseRepresentation
bin100000111110001000001…
…0001001010010100010000
3121001012111110220100002020
41001330100101022110100
51043220414114301230
613345420415451440
7645246613432341
oct101742021122420
917035443810066
104531463431440
111497867a76870
12612289b26b80
1326b413568b5a
141194770b20c8
157cd18e3b810
hex41f1044a510

4531463431440 has 80 divisors (see below), whose sum is σ = 15324585431616. Its totient is φ = 1098536588800.

The previous prime is 4531463431433. The next prime is 4531463431499. The reversal of 4531463431440 is 441343641354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4531463431392 and 4531463431401.

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, 858229071 + ... + 858234350.

Almost surely, 24531463431440 is an apocalyptic number.

4531463431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531463431440 is an abundant number, since it is smaller than the sum of its proper divisors (10793122000176).

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

4531463431440 is a wasteful number, since it uses less digits than its factorization.

4531463431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716463448 (or 1716463442 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 4531463431440 in words is "four trillion, five hundred thirty-one billion, four hundred sixty-three million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1716463421 3432926842 5149390263 6865853684 8582317105 10298780526 13731707368 17164634210 18881097631 20597561052 25746951315 27463414736 34329268420 37762195262 41195122104 51493902630 56643292893 68658536840 75524390524 82390244208 94405488155 102987805260 113286585786 137317073680 151048781048 188810976310 205975610520 226573171572 283216464465 302097562096 377621952620 411951221040 453146343144 566432928930 755243905240 906292686288 1132865857860 1510487810480 2265731715720 4531463431440