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401241041304 = 233294733137057
BaseRepresentation
bin1011101011010111101…
…01000110100110011000
31102100200011210210121120
411311223311012212120
523033220201310204
6504154432005240
740663061402145
oct5655365064630
91370604723546
10401241041304
11145190120074
126591a990820
132bab57a22cc
14155c4d373cc
15a68583e6d9
hex5d6bd46998

401241041304 has 128 divisors (see below), whose sum is σ = 1063001318400. Its totient is φ = 126002257920.

The previous prime is 401241041269. The next prime is 401241041309. The reversal of 401241041304 is 403140142104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401241041309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10809144 + ... + 10846200.

It is an arithmetic number, because the mean of its divisors is an integer number (8304697800).

Almost surely, 2401241041304 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 401241041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531500659200).

401241041304 is an abundant number, since it is smaller than the sum of its proper divisors (661760277096).

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

401241041304 is a wasteful number, since it uses less digits than its factorization.

401241041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37473 (or 37469 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 401241041304 its reverse (403140142104), we get a palindrome (804381183408).

The spelling of 401241041304 in words is "four hundred one billion, two hundred forty-one million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 47 58 87 94 116 141 174 188 232 282 331 348 376 564 662 696 993 1128 1324 1363 1986 2648 2726 3972 4089 5452 7944 8178 9599 10904 15557 16356 19198 28797 31114 32712 37057 38396 46671 57594 62228 74114 76792 93342 111171 115188 124456 148228 186684 222342 230376 296456 373368 444684 451153 889368 902306 1074653 1353459 1741679 1804612 2149306 2706918 3223959 3483358 3609224 4298612 5225037 5413836 6447918 6966716 8597224 10450074 10827672 12265867 12895836 13933432 20900148 24531734 25791672 36797601 41800296 49063468 50508691 73595202 98126936 101017382 147190404 151526073 202034764 294380808 303052146 355710143 404069528 576495749 606104292 711420286 1067130429 1152991498 1212208584 1422840572 1729487247 2134260858 2305982996 2845681144 3458974494 4268521716 4611965992 6917948988 8537043432 13835897976 16718376721 33436753442 50155130163 66873506884 100310260326 133747013768 200620520652 401241041304