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401210424012104 = 23771283593601291
BaseRepresentation
bin101101100111001100001010…
…0110011011010110101001000
31221121120100020021120220111122
41123032120110303122311020
5410041412422021341404
63541145305130214412
7150336332216161250
oct13316302463326510
91847510207526448
10401210424012104
11106924426903323
1238bb9327284408
13142b3c99620b55
14711098c34a960
15315b60d0303be
hex16ce614cdad48

401210424012104 has 128 divisors (see below), whose sum is σ = 876403197204480. Its totient is φ = 168641353036800.

The previous prime is 401210424012067. The next prime is 401210424012113.

401210424012104 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666947699 + ... + 667548989.

It is an arithmetic number, because the mean of its divisors is an integer number (6846899978160).

Almost surely, 2401210424012104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401210424012104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438201598602240).

401210424012104 is an abundant number, since it is smaller than the sum of its proper divisors (475192773192376).

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

401210424012104 is a wasteful number, since it uses less digits than its factorization.

401210424012104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602251 (or 602247 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 401210424012104 in words is "four hundred one trillion, two hundred ten billion, four hundred twenty-four million, twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 71 142 283 284 497 566 568 593 994 1132 1186 1981 1988 2264 2372 3962 3976 4151 4744 7924 8302 15848 16604 20093 33208 40186 42103 80372 84206 140651 160744 167819 168412 281302 294721 335638 336824 562604 589442 601291 671276 1125208 1174733 1178884 1202582 1342552 2349466 2357768 2405164 4209037 4698932 4810328 8418074 9397864 11915149 16836148 23830298 33672296 42691661 47660596 83406043 85383322 95321192 166812086 170165353 170766644 298841627 333624172 340330706 341533288 356565563 597683254 667248344 680661412 713131126 1191157471 1195366508 1361322824 1426262252 2382314942 2390733016 2495958941 2852524504 4764629884 4991917882 9529259768 9983835764 12081740063 19967671528 24163480126 25316154973 48326960252 50632309946 84572180441 96653920504 100908054329 101264619892 169144360882 177213084811 201816108658 202529239784 338288721764 354426169622 403632217316 676577443528 706356380303 708852339244 807264434632 1412712760606 1417704678488 2825425521212 5650851042424 7164471857359 14328943714718 28657887429436 50151303001513 57315774858872 100302606003026 200605212006052 401210424012104