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1314206544 = 243717921851
BaseRepresentation
bin100111001010101…
…0011001101010000
310101120220121110110
41032111103031100
510142414102134
6334224001320
744365366650
oct11625231520
93346817413
101314206544
11614920912
12308160240
1317c370411
14c677c360
157a5997e9
hex4e553350

1314206544 has 80 divisors (see below), whose sum is σ = 3901893120. Its totient is φ = 373372800.

The previous prime is 1314206507. The next prime is 1314206567. The reversal of 1314206544 is 4456024131.

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, 49219 + ... + 71069.

It is an arithmetic number, because the mean of its divisors is an integer number (48773664).

Almost surely, 21314206544 is an apocalyptic number.

1314206544 is a gapful number since it is divisible by the number (14) 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 1314206544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950946560).

1314206544 is an abundant number, since it is smaller than the sum of its proper divisors (2587686576).

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

1314206544 is a wasteful number, since it uses less digits than its factorization.

1314206544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22048 (or 22042 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1314206544 is about 36251.9867593488. The cubic root of 1314206544 is about 1095.3541091133.

The spelling of 1314206544 in words is "one billion, three hundred fourteen million, two hundred six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1253 1432 2148 2506 2864 3759 4296 5012 7518 8592 10024 15036 20048 21851 30072 43702 60144 65553 87404 131106 152957 174808 262212 305914 349616 458871 524424 611828 917742 1048848 1223656 1835484 2447312 3670968 3911329 7341936 7822658 11733987 15645316 23467974 27379303 31290632 46935948 54758606 62581264 82137909 93871896 109517212 164275818 187743792 219034424 328551636 438068848 657103272 1314206544