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1401011310 = 235172283571
BaseRepresentation
bin101001110000001…
…1011110001101110
310121122020202012210
41103200123301232
510332124330220
6351004311250
746501254036
oct12340336156
93548222183
101401011310
1165991a596
12331242526
13194343b9a
14d40d68c6
1582ee46e0
hex5381bc6e

1401011310 has 96 divisors (see below), whose sum is σ = 3590750592. Its totient is φ = 349770240.

The previous prime is 1401011309. The next prime is 1401011317. The reversal of 1401011310 is 131101041.

1401011310 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14010113102 = 3925665381495832200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401011317) 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, 2453325 + ... + 2453895.

It is an arithmetic number, because the mean of its divisors is an integer number (37403652).

Almost surely, 21401011310 is an apocalyptic number.

1401011310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401011310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795375296).

1401011310 is an abundant number, since it is smaller than the sum of its proper divisors (2189739282).

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

1401011310 is a wasteful number, since it uses less digits than its factorization.

1401011310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1401011310 is about 37430.0856264049. The cubic root of 1401011310 is about 1118.9582442266.

Adding to 1401011310 its reverse (131101041), we get a palindrome (1532112351).

The spelling of 1401011310 in words is "one billion, four hundred one million, eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 283 289 510 566 571 578 849 867 1142 1415 1445 1698 1713 1734 2830 2855 2890 3426 4245 4335 4811 5710 8490 8565 8670 9622 9707 14433 17130 19414 24055 28866 29121 48110 48535 58242 72165 81787 97070 144330 145605 161593 163574 165019 245361 291210 323186 330038 408935 484779 490722 495057 807965 817870 825095 969558 990114 1226805 1615930 1650190 2423895 2453610 2475285 2747081 4847790 4950570 5494162 8241243 13735405 16482486 27470810 41206215 46700377 82412430 93400754 140101131 233501885 280202262 467003770 700505655 1401011310