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23230330401040 = 2457173379632677
BaseRepresentation
bin1010100100000101110111…
…00101110111000100010000
310001020210112200000110222221
411102002323211313010100
511021101204040313130
6121223511053310424
74615223146260130
oct522027345670420
9101223480013887
1023230330401040
117446a22997154
12273223a795414
13cc67c2aab369
145a44d54c8ac0
152a441a68e87a
hex1520bb977110

23230330401040 has 160 divisors (see below), whose sum is σ = 62247012007680. Its totient is φ = 7897740060672.

The previous prime is 23230330401029. The next prime is 23230330401059. The reversal of 23230330401040 is 4010403303232.

It is a junction number, because it is equal to n+sod(n) for n = 23230330400996 and 23230330401014.

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, 36401182 + ... + 37033858.

It is an arithmetic number, because the mean of its divisors is an integer number (389043825048).

Almost surely, 223230330401040 is an apocalyptic number.

23230330401040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23230330401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31123506003840).

23230330401040 is an abundant number, since it is smaller than the sum of its proper divisors (39016681606640).

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

23230330401040 is a wasteful number, since it uses less digits than its factorization.

23230330401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633249 (or 633243 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 23230330401040 its reverse (4010403303232), we get a palindrome (27240733704272).

The spelling of 23230330401040 in words is "twenty-three trillion, two hundred thirty billion, three hundred thirty million, four hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 173 280 346 379 560 692 758 865 1211 1384 1516 1730 1895 2422 2653 2768 3032 3460 3790 4844 5306 6055 6064 6920 7580 9688 10612 12110 13265 13840 15160 19376 21224 24220 26530 30320 42448 48440 53060 65567 96880 106120 131134 212240 262268 327835 458969 524536 632677 655670 917938 1049072 1265354 1311340 1835876 2294845 2530708 2622680 3163385 3671752 4428739 4589690 5061416 5245360 6326770 7343504 8857478 9179380 10122832 12653540 17714956 18358760 22143695 25307080 35429912 36717520 44287390 50614160 70859824 88574780 109453121 177149560 218906242 239784583 354299120 437812484 479569166 547265605 766171847 875624968 959138332 1094531210 1198922915 1532343694 1678492081 1751249936 1918276664 2189062420 2397845830 3064687388 3356984162 3830859235 3836553328 4378124840 4795691660 6129374776 6713968324 7661718470 8392460405 8756249680 9591383320 12258749552 13427936648 15323436940 16784920810 19182766640 26855873296 30646873880 33569841620 41482732859 61293747760 67139683240 82965465718 134279366480 165930931436 207413664295 290379130013 331861862872 414827328590 580758260026 663723725744 829654657180 1161516520052 1451895650065 1659309314360 2323033040104 2903791300130 3318618628720 4646066080208 5807582600260 11615165200520 23230330401040