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1414430663664 = 24379587635441
BaseRepresentation
bin10100100101010010101…
…000110010001111110000
312000012220002211110112110
4110211102220302033300
5141133223222214124
63001440325525320
7204121624161534
oct24452250621760
95005802743473
101414430663664
114a5947265507
121aa161b73840
13a34c3502405
144c65cd89bc4
1526bd4eb2029
hex14952a323f0

1414430663664 has 80 divisors (see below), whose sum is σ = 3706507768320. Its totient is φ = 464715064320.

The previous prime is 1414430663621. The next prime is 1414430663687. The reversal of 1414430663664 is 4663660344141.

It is a super-2 number, since 2×14144306636642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1908184 + ... + 2543624.

It is an arithmetic number, because the mean of its divisors is an integer number (46331347104).

Almost surely, 21414430663664 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 1414430663664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853253884160).

1414430663664 is an abundant number, since it is smaller than the sum of its proper divisors (2292077104656).

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

1414430663664 is a wasteful number, since it uses less digits than its factorization.

1414430663664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636118 (or 636112 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 1414430663664 in words is "one trillion, four hundred fourteen billion, four hundred thirty million, six hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 587 632 948 1174 1264 1761 1896 2348 3522 3792 4696 7044 9392 14088 28176 46373 92746 139119 185492 278238 370984 556476 635441 741968 1112952 1270882 1906323 2225904 2541764 3812646 5083528 7625292 10167056 15250584 30501168 50199839 100399678 150599517 200799356 301199034 373003867 401598712 602398068 746007734 803197424 1119011601 1204796136 1492015468 2238023202 2409592272 2984030936 4476046404 5968061872 8952092808 17904185616 29467305493 58934610986 88401916479 117869221972 176803832958 235738443944 353607665916 471476887888 707215331832 1414430663664