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1391041440 = 253254123561
BaseRepresentation
bin101001011101001…
…1001101110100000
310120221111020010100
41102322121232200
510322101311230
6350010502400
746320441255
oct12272315640
93527436110
101391041440
11654230028
12329a34a00
13192262c59
14d2a5d42c
15821c5660
hex52e99ba0

1391041440 has 144 divisors (see below), whose sum is σ = 4862914056. Its totient is φ = 361881600.

The previous prime is 1391041427. The next prime is 1391041441. The reversal of 1391041440 is 441401931.

It can be written as a sum of positive squares in 4 ways, for example, as 535829904 + 855211536 = 23148^2 + 29244^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1391041441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47260 + ... + 70820.

Almost surely, 21391041440 is an apocalyptic number.

1391041440 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 1391041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431457028).

1391041440 is an abundant number, since it is smaller than the sum of its proper divisors (3471872616).

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

1391041440 is a wasteful number, since it uses less digits than its factorization.

1391041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23623 (or 23612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1391041440 is about 37296.6679476867. The cubic root of 1391041440 is about 1116.2976814096.

The spelling of 1391041440 in words is "one billion, three hundred ninety-one million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 23561 29520 47122 59040 70683 94244 117805 141366 188488 212049 235610 282732 353415 376976 424098 471220 565464 706830 753952 848196 942440 966001 1060245 1130928 1413660 1696392 1884880 1932002 2120490 2261856 2827320 2898003 3392784 3769760 3864004 4240980 4830005 5654640 5796006 6785568 7728008 8481960 8694009 9660010 11309280 11592012 14490015 15456016 16963920 17388018 19320020 23184024 28980030 30912032 33927840 34776036 38640040 43470045 46368048 57960060 69552072 77280080 86940090 92736096 115920120 139104144 154560160 173880180 231840240 278208288 347760360 463680480 695520720 1391041440