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1004142422214 = 233295389135937
BaseRepresentation
bin11101001110010111000…
…11010110100011000110
310112222212102010021111000
432213023203112203012
5112422440430002324
62045144024554130
7132355404521511
oct16471343264306
93488772107430
101004142422214
11357944246028
12142739322946
13738c8564c49
143685a671d78
151b1c02709c9
hexe9cb8d68c6

1004142422214 has 128 divisors (see below), whose sum is σ = 2378371248000. Its totient is φ = 313509740544.

The previous prime is 1004142422197. The next prime is 1004142422221. The reversal of 1004142422214 is 4122242414001.

1004142422214 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 424 + 22 + 214 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7318854 + ... + 7454790.

It is an arithmetic number, because the mean of its divisors is an integer number (18581025375).

Almost surely, 21004142422214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004142422214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189185624000).

1004142422214 is an abundant number, since it is smaller than the sum of its proper divisors (1374228825786).

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

1004142422214 is a wasteful number, since it uses less digits than its factorization.

1004142422214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136119 (or 136113 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1004142422214 its reverse (4122242414001), we get a palindrome (5126384836215).

The spelling of 1004142422214 in words is "one trillion, four billion, one hundred forty-two million, four hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 53 54 58 87 89 106 159 174 178 261 267 318 477 522 534 783 801 954 1431 1537 1566 1602 2403 2581 2862 3074 4611 4717 4806 5162 7743 9222 9434 13833 14151 15486 23229 27666 28302 41499 42453 46458 69687 82998 84906 127359 135937 136793 139374 254718 271874 273586 407811 410379 815622 820758 1223433 1231137 2446866 2462274 3670299 3693411 3942173 7204661 7340598 7386822 7884346 11826519 12098393 14409322 21613983 23653038 24196786 35479557 36295179 43227966 64841949 70959114 72590358 106438671 108885537 129683898 194525847 208935169 212877342 217771074 326656611 350853397 389051694 417870338 626805507 641214829 653313222 701706794 1052560191 1253611014 1282429658 1880416521 1923644487 2105120382 3157680573 3760833042 3847288974 5641249563 5770933461 6315361146 9473041719 11282499126 11541866922 17312800383 18595230041 18946083438 34625600766 37190460082 55785690123 111571380246 167357070369 334714140738 502071211107 1004142422214