Search a number
-
+
100421042433414 = 231731793253123581
BaseRepresentation
bin10110110101010100011000…
…100011111110110110000110
3111011120011021002221021100020
4112311110120203332312012
5101130244243330332124
6553324442351200010
730103116021602523
oct2665243043766606
9434504232837306
10100421042433414
1129aa736353420a
12b31a32bb16006
134405882105401
141ab25938d214a
15b922ad6e8379
hex5b55188fed86

100421042433414 has 128 divisors (see below), whose sum is σ = 222365027450880. Its totient is φ = 30092936140800.

The previous prime is 100421042433347. The next prime is 100421042433443. The reversal of 100421042433414 is 414334240124001.

It is a happy number.

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, 812531104 + ... + 812654684.

It is an arithmetic number, because the mean of its divisors is an integer number (1737226776960).

Almost surely, 2100421042433414 is an apocalyptic number.

100421042433414 is an abundant number, since it is smaller than the sum of its proper divisors (121943985017466).

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

100421042433414 is a wasteful number, since it uses less digits than its factorization.

100421042433414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126966.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 100421042433414 its reverse (414334240124001), we get a palindrome (514755282557415).

The spelling of 100421042433414 in words is "one hundred trillion, four hundred twenty-one billion, forty-two million, four hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 31 34 51 62 79 93 102 158 186 237 474 527 1054 1343 1581 2449 2686 3162 3253 4029 4898 6506 7347 8058 9759 14694 19518 41633 55301 83266 100843 110602 123581 124899 165903 201686 247162 249798 256987 302529 331806 370743 513974 605058 741486 770961 1541922 1714331 2100877 3428662 3831011 4201754 4368779 5142993 6302631 7662022 7966597 8737558 9762899 10285986 11493033 12605262 13106337 15933194 19525798 22986066 23899791 26212674 29288697 47799582 58577394 65127187 130254374 135432149 165969283 195381561 270864298 302649869 331938566 390763122 402008993 406296447 497907849 605299738 804017986 812592894 907949607 995815698 1206026979 1815899214 2412053958 5145047773 6834152881 10290095546 12462278783 13668305762 15435143319 20502458643 24924557566 30870286638 31758710447 37386836349 41004917286 63517420894 74773672698 95276131341 190552262682 211858739311 423717478622 539898077599 635576217933 984520023857 1079796155198 1271152435866 1619694232797 1969040047714 2953560071571 3239388465594 5907120143142 16736840405569 33473680811138 50210521216707 100421042433414