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1020040410004 = 2271112748775347
BaseRepresentation
bin11101101011111110010…
…01010111001110010100
310121111220100222201211121
432311333021113032110
5113203020321110004
62100333342013324
7133460360266240
oct16657711271624
93544810881747
101020040410004
11363662245610
12145835577244
1375260151805
1437527c4b420
151b800d15854
hexed7f257394

1020040410004 has 96 divisors (see below), whose sum is σ = 2243946184704. Its totient is φ = 394134491520.

The previous prime is 1020040410001. The next prime is 1020040410007. The reversal of 1020040410004 is 4000140400201.

It is an interprime number because it is at equal distance from previous prime (1020040410001) and next prime (1020040410007).

It is a super-2 number, since 2×10200404100042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1020040410004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020040410001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190766059 + ... + 190771405.

It is an arithmetic number, because the mean of its divisors is an integer number (23374439424).

Almost surely, 21020040410004 is an apocalyptic number.

1020040410004 is a gapful number since it is divisible by the number (14) 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 1020040410004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121973092352).

1020040410004 is an abundant number, since it is smaller than the sum of its proper divisors (1223905774700).

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

1020040410004 is a wasteful number, since it uses less digits than its factorization.

1020040410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10371 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1020040410004 its reverse (4000140400201), we get a palindrome (5020180810205).

The spelling of 1020040410004 in words is "one trillion, twenty billion, forty million, four hundred ten thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3556 4877 5347 5588 9754 9779 10694 19508 19558 21388 34139 37429 39116 53647 58817 68278 74858 107294 117634 136556 149716 214588 235268 375529 411719 619379 679069 751058 823438 1238758 1358138 1502116 1646876 2477516 2716276 4335653 4753483 6813169 7469759 8671306 9506966 13626338 14939518 17342612 19013932 26077319 27252676 29879036 47692183 52154638 52288313 95384366 104309276 104576626 182541233 190768732 209153252 286850509 365082466 573701018 730164932 1147402036 2007953563 3311819513 4015907126 6623639026 8031814252 13247278052 23182736591 36430014643 46365473182 72860029286 92730946364 145720058572 255010102501 510020205002 1020040410004