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142001040 = 24354114431
BaseRepresentation
bin10000111011011…
…00001110010000
3100220012101210210
420131230032100
5242323013130
622031324120
73342663126
oct1035541620
9326171723
10142001040
1173179535
123b680640
132355b0ac
1414c05916
15c6ee5b0
hex876c390

142001040 has 80 divisors (see below), whose sum is σ = 450971136. Its totient is φ = 36940800.

The previous prime is 142001033. The next prime is 142001047. The reversal of 142001040 is 40100241.

It is an interprime number because it is at equal distance from previous prime (142001033) and next prime (142001047).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1420010402 = 40328590722163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (142001047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625 + ... + 17055.

Almost surely, 2142001040 is an apocalyptic number.

142001040 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 142001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225485568).

142001040 is an abundant number, since it is smaller than the sum of its proper divisors (308970096).

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

142001040 is a wasteful number, since it uses less digits than its factorization.

142001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14488 (or 14482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142001040 is about 11916.4189251637. The cubic root of 142001040 is about 521.7116182836.

Adding to 142001040 its reverse (40100241), we get a palindrome (182101281).

The spelling of 142001040 in words is "one hundred forty-two million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 14431 28862 43293 57724 72155 86586 115448 144310 173172 216465 230896 288620 346344 432930 577240 591671 692688 865860 1154480 1183342 1731720 1775013 2366684 2958355 3463440 3550026 4733368 5916710 7100052 8875065 9466736 11833420 14200104 17750130 23666840 28400208 35500260 47333680 71000520 142001040