Search a number
-
+
1003140033104 = 241123247811273
BaseRepresentation
bin11101001100011111100…
…11100010101001010000
310112220021112221122010102
432212033303202221100
5112413412322024404
62044500340151532
7132321513410336
oct16461763425120
93486245848112
101003140033104
1135747a440280
121424b96985a8
137379899c4b1
14367a34a1b56
151b16226b71e
hexe98fce2a50

1003140033104 has 40 divisors (see below), whose sum is σ = 2212459054272. Its totient is φ = 436147838720.

The previous prime is 1003140033059. The next prime is 1003140033109. The reversal of 1003140033104 is 4013300413001.

1003140033104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003140033109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123901589 + ... + 123909684.

Almost surely, 21003140033104 is an apocalyptic number.

It is an amenable number.

1003140033104 is an abundant number, since it is smaller than the sum of its proper divisors (1209319021168).

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

1003140033104 is a wasteful number, since it uses less digits than its factorization.

1003140033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247811315 (or 247811309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1003140033104 its reverse (4013300413001), we get a palindrome (5016440446105).

The spelling of 1003140033104 in words is "one trillion, three billion, one hundred forty million, thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 247811273 495622546 991245092 1982490184 2725924003 3964980368 5451848006 5699659279 10903696012 11399318558 21807392024 22798637116 43614784048 45597274232 62696252069 91194548464 125392504138 250785008276 501570016552 1003140033104