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1401541000 = 235329311559
BaseRepresentation
bin101001110001001…
…1101000110001000
310121200020122210221
41103202131012020
510332243303000
6351023515424
746505621236
oct12342350610
93550218727
101401541000
1165a151552
12331458b74
1319449b002
14d41d3956
158309b61a
hex5389d188

1401541000 has 128 divisors (see below), whose sum is σ = 3504384000. Its totient is φ = 523488000.

The previous prime is 1401540977. The next prime is 1401541003. The reversal of 1401541000 is 1451041.

It is not an unprimeable number, because it can be changed into a prime (1401541003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898221 + ... + 899779.

It is an arithmetic number, because the mean of its divisors is an integer number (27378000).

Almost surely, 21401541000 is an apocalyptic number.

1401541000 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 1401541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752192000).

1401541000 is an abundant number, since it is smaller than the sum of its proper divisors (2102843000).

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

1401541000 is a wasteful number, since it uses less digits than its factorization.

1401541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1401541000 is about 37437.1606829364. The cubic root of 1401541000 is about 1119.0992438765.

Adding to 1401541000 its reverse (1451041), we get a palindrome (1402992041).

The spelling of 1401541000 in words is "one billion, four hundred one million, five hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 31 40 50 58 62 100 116 124 125 145 155 200 232 248 250 290 310 500 580 620 725 775 899 1000 1160 1240 1450 1550 1559 1798 2900 3100 3118 3596 3625 3875 4495 5800 6200 6236 7192 7250 7750 7795 8990 12472 14500 15500 15590 17980 22475 29000 31000 31180 35960 38975 44950 45211 48329 62360 77950 89900 90422 96658 112375 155900 179800 180844 193316 194875 224750 226055 241645 311800 361688 386632 389750 449500 452110 483290 779500 899000 904220 966580 1130275 1208225 1401541 1559000 1808440 1933160 2260550 2416450 2803082 4521100 4832900 5606164 5651375 6041125 7007705 9042200 9665800 11212328 11302750 12082250 14015410 22605500 24164500 28030820 35038525 45211000 48329000 56061640 70077050 140154100 175192625 280308200 350385250 700770500 1401541000