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331040021404240 = 24523376659730217
BaseRepresentation
bin100101101000101000100001…
…0111000011101101001010000
31121102010010011021101202102101
41023101101002320131221100
5321342224430434413430
63132021404131330144
7126504565222224211
oct11321210270355120
91542103137352371
10331040021404240
1196530314983865
1231165935450954
1311293c2b447785
145ba65cb5a9408
15284119d6b2dca
hex12d1442e1da50

331040021404240 has 160 divisors (see below), whose sum is σ = 824963142908160. Its totient is φ = 123216904876032.

The previous prime is 331040021404159. The next prime is 331040021404271. The reversal of 331040021404240 is 42404120040133.

It is a junction number, because it is equal to n+sod(n) for n = 331040021404199 and 331040021404208.

It is a congruent number.

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, 452979612 + ... + 453709828.

It is an arithmetic number, because the mean of its divisors is an integer number (5156019643176).

Almost surely, 2331040021404240 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 331040021404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412481571454080).

331040021404240 is an abundant number, since it is smaller than the sum of its proper divisors (493923121503920).

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

331040021404240 is a wasteful number, since it uses less digits than its factorization.

331040021404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736949 (or 736943 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 331040021404240 its reverse (42404120040133), we get a palindrome (373444141444373).

The spelling of 331040021404240 in words is "three hundred thirty-one trillion, forty billion, twenty-one million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 184 185 230 296 368 370 460 592 740 851 920 1480 1702 1840 2960 3404 4255 6659 6808 8510 13318 13616 17020 26636 33295 34040 53272 66590 68080 106544 133180 153157 246383 266360 306314 492766 532720 612628 730217 765785 985532 1225256 1231915 1460434 1531570 1971064 2450512 2463830 2920868 3063140 3651085 3942128 4927660 5666809 5841736 6126280 7302170 9855320 11333618 11683472 12252560 14604340 16794991 19710640 22667236 27018029 28334045 29208680 33589982 45334472 54036058 56668090 58417360 67179964 83974955 90668944 108072116 113336180 134359928 135090145 167949910 216144232 226672360 268719856 270180290 335899820 432288464 453344720 540360580 621414667 671799640 1080721160 1242829334 1343599280 2161442320 2485658668 3107073335 4862515003 4971317336 6214146670 9725030006 9942634672 12428293340 19450060012 24312575015 24856586680 38900120024 48625150030 49713173360 77800240048 97250300060 111837845069 179913055111 194500600120 223675690138 359826110222 389001200240 447351380276 559189225345 719652220444 894702760552 899565275555 1118378450690 1439304440888 1789405521104 1799130551110 2236756901380 2878608881776 3598261102220 4138000267553 4473513802760 7196522204440 8276000535106 8947027605520 14393044408880 16552001070212 20690001337765 33104002140424 41380002675530 66208004280848 82760005351060 165520010702120 331040021404240