Search a number
-
+
10141334120040 = 2335359235407013
BaseRepresentation
bin1001001110010011011010…
…0111100010011001101000
31022220111120000022110012220
42103210312213202121220
52312123423013320130
633322510425434040
72064454466502354
oct223446647423150
938814500273186
1010141334120040
11325aa087aa302
12117956033b920
13587429240856
14270bb3a00464
15128becd44410
hex939369e2668

10141334120040 has 64 divisors (see below), whose sum is σ = 30508749014400. Its totient is φ = 2696822729472.

The previous prime is 10141334120023. The next prime is 10141334120053. The reversal of 10141334120040 is 4002143314101.

It is a super-2 number, since 2×101413341200402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117660427 + ... + 117746586.

It is an arithmetic number, because the mean of its divisors is an integer number (476699203350).

Almost surely, 210141334120040 is an apocalyptic number.

10141334120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141334120040 is an abundant number, since it is smaller than the sum of its proper divisors (20367414894360).

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

10141334120040 is a wasteful number, since it uses less digits than its factorization.

10141334120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235407386 (or 235407382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10141334120040 its reverse (4002143314101), we get a palindrome (14143477434141).

The spelling of 10141334120040 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 10770 14360 21540 43080 235407013 470814026 706221039 941628052 1177035065 1412442078 1883256104 2354070130 2824884156 3531105195 4708140260 5649768312 7062210390 9416280520 14124420780 28248841560 84511117667 169022235334 253533353001 338044470668 422555588335 507066706002 676088941336 845111176670 1014133412004 1267666765005 1690222353340 2028266824008 2535333530010 3380444706680 5070667060020 10141334120040