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140430151404 = 2232314112892381
BaseRepresentation
bin1000001011001001001…
…0100000111011101100
3111102110211002211112200
42002302102200323230
54300100104321104
6144302425301500
713100663410014
oct2026222407354
9442424084480
10140430151404
1154613183274
1223271934890
131031ca2c45a
146b22800c44
1539bd88db39
hex20b24a0eec

140430151404 has 144 divisors (see below), whose sum is σ = 375813285120. Its totient is φ = 44142336000.

The previous prime is 140430151399. The next prime is 140430151409. The reversal of 140430151404 is 404151034041.

140430151404 is a `hidden beast` number, since 1 + 40 + 430 + 151 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140430151399) and next prime (140430151409).

It is not an unprimeable number, because it can be changed into a prime (140430151409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58978294 + ... + 58980674.

It is an arithmetic number, because the mean of its divisors is an integer number (2609814480).

Almost surely, 2140430151404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140430151404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187906642560).

140430151404 is an abundant number, since it is smaller than the sum of its proper divisors (235383133716).

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

140430151404 is a wasteful number, since it uses less digits than its factorization.

140430151404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 140430151404 its reverse (404151034041), we get a palindrome (544581185445).

The spelling of 140430151404 in words is "one hundred forty billion, four hundred thirty million, one hundred fifty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 738 1116 1271 1289 1476 2381 2542 2578 3813 3867 4762 5084 5156 7143 7626 7734 9524 11439 11601 14286 15252 15468 21429 22878 23202 28572 39959 42858 45756 46404 52849 73811 79918 85716 97621 105698 119877 147622 158547 159836 195242 211396 221433 239754 292863 295244 317094 359631 390484 442866 475641 479508 585726 634188 664299 719262 878589 885732 951282 1171452 1328598 1438524 1638319 1757178 1902564 2657196 3026251 3069109 3276638 3514356 4914957 6052502 6138218 6553276 9078753 9207327 9829914 12105004 12276436 14744871 18157506 18414654 19659828 27236259 27621981 29489742 36315012 36829308 54472518 55243962 58979484 95142379 108945036 110487924 125833469 190284758 251666938 285427137 377500407 380569516 503333876 570854274 755000814 856281411 1132501221 1141708548 1510001628 1712562822 2265002442 3425125644 3900837539 4530004884 7801675078 11702512617 15603350156 23405025234 35107537851 46810050468 70215075702 140430151404