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1040001240222 = 2327431267115149
BaseRepresentation
bin11110010001001001110…
…01111000110010011110
310200102102110210222020200
433020210321320302132
5114014410304141342
62113434151524330
7135065125453440
oct17104471706236
93612373728220
101040001240222
1137107565080a
121496863896a6
13770c1693759
143849cc58490
151c0bd3e594c
hexf224e78c9e

1040001240222 has 96 divisors (see below), whose sum is σ = 2635512422400. Its totient is φ = 290190841920.

The previous prime is 1040001240211. The next prime is 1040001240233. The reversal of 1040001240222 is 2220421000401.

1040001240222 is a `hidden beast` number, since 1 + 0 + 400 + 0 + 1 + 2 + 40 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (1040001240211) and next prime (1040001240233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040001240195 and 1040001240204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68643904 + ... + 68659052.

It is an arithmetic number, because the mean of its divisors is an integer number (27453254400).

Almost surely, 21040001240222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040001240222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317756211200).

1040001240222 is an abundant number, since it is smaller than the sum of its proper divisors (1595511182178).

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

1040001240222 is a wasteful number, since it uses less digits than its factorization.

1040001240222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27878 (or 27875 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1040001240222 its reverse (2220421000401), we get a palindrome (3260422240623).

The spelling of 1040001240222 in words is "one trillion, forty billion, one million, two hundred forty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 5418 12671 15149 25342 30298 38013 45447 76026 88697 90894 106043 114039 136341 177394 212086 228078 266091 272682 318129 532182 544853 636258 651407 798273 954387 1089706 1302814 1596546 1634559 1908774 1954221 3269118 3813971 3908442 4559849 4903677 5862663 7627942 9119698 9807354 11441913 11725326 13679547 22883826 27359094 34325739 41038641 68651478 82077282 191952979 383905958 575858937 1151717874 1343670853 1727576811 2687341706 3455153622 4031012559 8062025118 8253978097 12093037677 16507956194 24186075354 24761934291 49523868582 57777846679 74285802873 115555693358 148571605746 173333540037 346667080074 520000620111 1040001240222