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321401104040 = 23543892339011
BaseRepresentation
bin1001010110101001111…
…11111010011010101000
31010201120222212202102002
410223110333322122220
520231212140312130
6403352153030132
732135422210562
oct4532477723250
91121528782362
10321401104040
1111433a5a9545
12523586b5348
1324400880693
14117ad546332
15856143bb45
hex4ad4ffa6a8

321401104040 has 128 divisors (see below), whose sum is σ = 751579171200. Its totient is φ = 123613163520.

The previous prime is 321401104027. The next prime is 321401104067. The reversal of 321401104040 is 40401104123.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 35663135 + ... + 35672145.

It is an arithmetic number, because the mean of its divisors is an integer number (5871712275).

Almost surely, 2321401104040 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 321401104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375789585600).

321401104040 is an abundant number, since it is smaller than the sum of its proper divisors (430178067160).

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

321401104040 is a wasteful number, since it uses less digits than its factorization.

321401104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9387 (or 9383 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 321401104040 its reverse (40401104123), we get a palindrome (361802208163).

The spelling of 321401104040 in words is "three hundred twenty-one billion, four hundred one million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 89 172 178 215 233 344 356 430 445 466 712 860 890 932 1165 1720 1780 1864 2330 3560 3827 4660 7654 9011 9320 10019 15308 18022 19135 20038 20737 30616 36044 38270 40076 41474 45055 50095 72088 76540 80152 82948 90110 100190 103685 153080 165896 180220 200380 207370 360440 387473 400760 414740 774946 801979 829480 891691 1549892 1603958 1783382 1937365 2099563 3099784 3207916 3566764 3874730 4009895 4199126 4458455 6415832 7133528 7749460 8019790 8398252 8916910 10497815 15498920 16039580 16796504 17833820 20995630 32079160 34485097 35667640 41991260 68970194 83982520 90281209 137940388 172425485 180562418 186861107 275880776 344850970 361124836 373722214 451406045 689701940 722249672 747444428 902812090 934305535 1379403880 1494888856 1805624180 1868611070 3611248360 3737222140 7474444280 8035027601 16070055202 32140110404 40175138005 64280220808 80350276010 160700552020 321401104040