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1404430040 = 2351353131389
BaseRepresentation
bin101001110110101…
…1110011011011000
310121212200102211102
41103231132123120
510334013230130
6351205450532
746542313136
oct12355363330
93555612742
101404430040
11660845092
12332410a48
13194c6ccc0
14d4746756
158346c645
hex53b5e6d8

1404430040 has 128 divisors (see below), whose sum is σ = 3502699200. Its totient is φ = 503592960.

The previous prime is 1404430037. The next prime is 1404430121. The reversal of 1404430040 is 400344041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1404429994 and 1404430021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3610166 + ... + 3610554.

Almost surely, 21404430040 is an apocalyptic number.

1404430040 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 1404430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751349600).

1404430040 is an abundant number, since it is smaller than the sum of its proper divisors (2098269160).

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

1404430040 is a wasteful number, since it uses less digits than its factorization.

1404430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1404430040 is about 37475.7260103123. The cubic root of 1404430040 is about 1119.8676608090.

Adding to 1404430040 its reverse (400344041), we get a palindrome (1804774081).

The spelling of 1404430040 in words is "one billion, four hundred four million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 131 212 260 262 265 389 424 520 524 530 655 689 778 1048 1060 1310 1378 1556 1703 1945 2120 2620 2756 3112 3406 3445 3890 5057 5240 5512 6812 6890 6943 7780 8515 10114 13624 13780 13886 15560 17030 20228 20617 25285 27560 27772 34060 34715 40456 41234 50570 50959 55544 68120 69430 82468 90259 101140 101918 103085 138860 164936 180518 202280 203836 206170 254795 268021 277720 361036 407672 412340 451295 509590 536042 662467 722072 824680 902590 1019180 1072084 1324934 1340105 1805180 2038360 2144168 2649868 2680210 2700827 3312335 3610360 5299736 5360420 5401654 6624670 10720840 10803308 13249340 13504135 21606616 26498680 27008270 35110751 54016540 70221502 108033080 140443004 175553755 280886008 351107510 702215020 1404430040