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400014412332402 = 237192342089517817
BaseRepresentation
bin101101011110011111001110…
…0111100111011110101110010
31221110100000010011121110102210
41122330332130330323311302
5404412314004024114102
63534432030101152550
7150154042016505210
oct13274763474736562
91843300104543383
10400014412332402
1110650318345330a
1238a455813bb756
13142282743c85aa
1470acb2d7b5cb0
15313a45d55e36c
hex16bcf9cf3bd72

400014412332402 has 128 divisors (see below), whose sum is σ = 1004311739289600. Its totient is φ = 103564326767616.

The previous prime is 400014412332373. The next prime is 400014412332449. The reversal of 400014412332402 is 204233214410004.

It is a self number, because there is not a number n which added to its sum of digits gives 400014412332402.

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, 772242598 + ... + 772760414.

It is an arithmetic number, because the mean of its divisors is an integer number (7846185463200).

Almost surely, 2400014412332402 is an apocalyptic number.

400014412332402 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400014412332402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502155869644800).

400014412332402 is an abundant number, since it is smaller than the sum of its proper divisors (604297326957198).

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

400014412332402 is a wasteful number, since it uses less digits than its factorization.

400014412332402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559960.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 400014412332402 its reverse (204233214410004), we get a palindrome (604247626742406).

The spelling of 400014412332402 in words is "four hundred trillion, fourteen billion, four hundred twelve million, three hundred thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 3059 6118 9177 18354 42089 84178 126267 252534 294623 517817 589246 799691 883869 968047 1035634 1553451 1599382 1767738 1936094 2399073 2904141 3106902 3624719 4798146 5597837 5808282 6776329 7249438 9838523 10874157 11195674 11909791 13552658 16793511 18392893 19677046 20328987 21748314 23819582 29515569 33587022 35729373 36785786 40657974 55178679 59031138 68869661 71458746 83368537 110357358 128750251 137739322 166737074 206608983 226286029 250105611 257500502 386250753 413217966 452572058 500211222 678858087 772501506 1357716174 1584002203 3168004406 4752006609 9504013218 21794399713 43588799426 65383199139 130766398278 152560797991 305121595982 414093594547 457682393973 501271193399 828187189094 915364787946 1002542386798 1242280783641 1503813580197 2484561567282 2898655161829 3007627160394 3508898353793 5797310323658 7017796707586 8695965485487 9524152674581 10526695061379 17391930970974 19048305349162 21053390122758 28572458023743 57144916047486 66669068722067 133338137444134 200007206166201 400014412332402