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1400120414 = 272113673539
BaseRepresentation
bin101001101110100…
…0010010001011110
310121120120111010122
41103131002101132
510331412323124
6350533234542
746460553500
oct12335022136
93546514118
101400120414
11659371210
12330a92a52
131940c1524
14d3d43d70
1582dba75e
hex5374245e

1400120414 has 48 divisors (see below), whose sum is σ = 2673181440. Its totient is φ = 543861360.

The previous prime is 1400120413. The next prime is 1400120417. The reversal of 1400120414 is 4140210041.

It is a super-3 number, since 3×14001204143 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1400120392 and 1400120401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400120413) 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, 393857 + ... + 397395.

It is an arithmetic number, because the mean of its divisors is an integer number (55691280).

Almost surely, 21400120414 is an apocalyptic number.

1400120414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1400120414 is a deficient number, since it is larger than the sum of its proper divisors (1273061026).

1400120414 is a wasteful number, since it uses less digits than its factorization.

1400120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1400120414 is about 37418.1829329004. The cubic root of 1400120414 is about 1118.7210139739.

Adding to 1400120414 its reverse (4140210041), we get a palindrome (5540330455).

The spelling of 1400120414 in words is "one billion, four hundred million, one hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 7 11 14 22 49 77 98 154 367 539 734 1078 2569 3539 4037 5138 7078 8074 17983 24773 28259 35966 38929 49546 56518 77858 173411 197813 272503 346822 395626 545006 1298813 1907521 2597626 3815042 9091691 14286943 18183382 28573886 63641837 100008601 127283674 200017202 700060207 1400120414