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1400141344 = 25729673217
BaseRepresentation
bin101001101110100…
…0111011000100000
310121120121112211211
41103131013120200
510331414010334
6350533515504
746461001510
oct12335073040
93546545754
101400141344
11659385a08
12330aa2b94
131940cac04
14d3d4b840
1582dc1a64
hex53747620

1400141344 has 96 divisors (see below), whose sum is σ = 3308618880. Its totient is φ = 570544128.

The previous prime is 1400141339. The next prime is 1400141377. The reversal of 1400141344 is 4431410041.

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, 433624 + ... + 436840.

It is an arithmetic number, because the mean of its divisors is an integer number (34464780).

Almost surely, 21400141344 is an apocalyptic number.

1400141344 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 1400141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654309440).

1400141344 is an abundant number, since it is smaller than the sum of its proper divisors (1908477536).

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

1400141344 is a wasteful number, since it uses less digits than its factorization.

1400141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1400141344 is about 37418.4626087176. The cubic root of 1400141344 is about 1118.7265884264.

Adding to 1400141344 its reverse (4431410041), we get a palindrome (5831551385).

The spelling of 1400141344 in words is "one billion, four hundred million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 67 112 116 134 203 224 232 268 406 464 469 536 812 928 938 1072 1624 1876 1943 2144 3217 3248 3752 3886 6434 6496 7504 7772 12868 13601 15008 15544 22519 25736 27202 31088 45038 51472 54404 62176 90076 93293 102944 108808 180152 186586 215539 217616 360304 373172 431078 435232 653051 720608 746344 862156 1306102 1492688 1508773 1724312 2612204 2985376 3017546 3448624 5224408 6035092 6250631 6897248 10448816 12070184 12501262 20897632 24140368 25002524 43754417 48280736 50005048 87508834 100010096 175017668 200020192 350035336 700070672 1400141344