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1041403000134 = 23741838638443
BaseRepresentation
bin11110010011110000111…
…01001011010101000110
310200120001011110202100110
433021320131023111012
5114030243132001014
62114225224253450
7135144636306150
oct17117035132506
93616034422313
101041403000134
11371724931782
121499b7911286
1377285c0a2a3
14385930a7ad0
151c1514d6d59
hexf27874b546

1041403000134 has 128 divisors (see below), whose sum is σ = 2470937591808. Its totient is φ = 286422877440.

The previous prime is 1041403000111. The next prime is 1041403000139. The reversal of 1041403000134 is 4310003041401.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1041403000134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041403000139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123340917 + ... + 123349359.

It is an arithmetic number, because the mean of its divisors is an integer number (19304199936).

Almost surely, 21041403000134 is an apocalyptic number.

1041403000134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041403000134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235468795904).

1041403000134 is an abundant number, since it is smaller than the sum of its proper divisors (1429534591674).

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

1041403000134 is a wasteful number, since it uses less digits than its factorization.

1041403000134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1041403000134 its reverse (4310003041401), we get a palindrome (5351406041535).

The spelling of 1041403000134 in words is "one trillion, forty-one billion, four hundred three million, one hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 41 42 82 83 123 166 246 249 287 498 574 581 861 863 1162 1722 1726 1743 2589 3403 3486 5178 6041 6806 8443 10209 12082 16886 18123 20418 23821 25329 35383 36246 47642 50658 59101 70766 71463 71629 106149 118202 142926 143258 177303 212298 214887 247681 346163 354606 429774 495362 501403 692326 700769 743043 1002806 1038489 1401538 1486086 1504209 2076978 2102307 2423141 2936789 3008418 4204614 4846282 4905383 5873578 7269423 7286309 8810367 9810766 14538846 14572618 14716149 17620734 20557523 21858927 28731529 29432298 41115046 43717854 51004163 57463058 61672569 86194587 102008326 123345138 153012489 172389174 201120703 298738669 306024978 402241406 597477338 603362109 604763647 896216007 1206724218 1209527294 1792432014 1814290941 2091170683 3628581882 4182341366 4233345529 6273512049 8466691058 12547024098 12700036587 24795309527 25400073174 49590619054 74385928581 148771857162 173567166689 347134333378 520701500067 1041403000134