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1416064464 = 243312892543
BaseRepresentation
bin101010001100111…
…0110110111010000
310122200120112021000
41110121312313100
510400003030324
6352303102000
750043230553
oct12431666720
93580515230
101416064464
11667371211
123362a1900
131974b4789
14d60d469a
15844b99c9
hex54676dd0

1416064464 has 80 divisors (see below), whose sum is σ = 4069382400. Its totient is φ = 471469824.

The previous prime is 1416064459. The next prime is 1416064501. The reversal of 1416064464 is 4644606141.

1416064464 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 0 + 644 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 555577 + ... + 558119.

It is an arithmetic number, because the mean of its divisors is an integer number (50867280).

Almost surely, 21416064464 is an apocalyptic number.

It is an amenable number.

1416064464 is an abundant number, since it is smaller than the sum of its proper divisors (2653317936).

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

1416064464 is a wasteful number, since it uses less digits than its factorization.

1416064464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1416064464 is about 37630.6319904410. The cubic root of 1416064464 is about 1122.9515220311.

It can be divided in two parts, 141606 and 4464, that added together give a triangular number (146070 = T540).

The spelling of 1416064464 in words is "one billion, four hundred sixteen million, sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1289 2543 2578 3867 5086 5156 7629 7734 10172 10312 11601 15258 15468 20344 20624 22887 23202 30516 30936 34803 40688 45774 46404 61032 61872 68661 69606 91548 92808 122064 137322 139212 183096 185616 274644 278424 366192 549288 556848 1098576 3277927 6555854 9833781 13111708 19667562 26223416 29501343 39335124 52446832 59002686 78670248 88504029 118005372 157340496 177008058 236010744 354016116 472021488 708032232 1416064464