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40230114100 = 225211173975419
BaseRepresentation
bin100101011101111001…
…101101001100110100
310211211201001112200221
4211131321231030310
51124342402122400
630251554544124
72622640220251
oct453571551464
9124751045627
1040230114100
111607493a190
127968b98044
133a41951757
141d38d8c428
1510a6cddc1a
hex95de6d334

40230114100 has 144 divisors (see below), whose sum is σ = 101110403520. Its totient is φ = 13731379200.

The previous prime is 40230113953. The next prime is 40230114103. The reversal of 40230114100 is 141103204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40230114103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7421191 + ... + 7426609.

It is an arithmetic number, because the mean of its divisors is an integer number (702155580).

Almost surely, 240230114100 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 40230114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50555201760).

40230114100 is an abundant number, since it is smaller than the sum of its proper divisors (60880289420).

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

40230114100 is a wasteful number, since it uses less digits than its factorization.

40230114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40230114100 its reverse (141103204), we get a palindrome (40371217304).

The spelling of 40230114100 in words is "forty billion, two hundred thirty million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 397 425 550 748 794 850 935 1100 1588 1700 1870 1985 3740 3970 4367 4675 5419 6749 7940 8734 9350 9925 10838 13498 17468 18700 19850 21676 21835 26996 27095 33745 39700 43670 54190 59609 67490 74239 87340 92123 108380 109175 119218 134980 135475 148478 168725 184246 218350 238436 270950 296956 298045 337450 368492 371195 436700 460615 541900 596090 674900 742390 921230 1013353 1192180 1484780 1490225 1842460 1855975 2026706 2151343 2303075 2980450 3711950 4053412 4302686 4606150 5066765 5960900 7423900 8605372 9212300 10133530 10756715 20267060 21513430 23664773 25333825 36572831 43026860 47329546 50667650 53783575 73145662 94659092 101335300 107567150 118323865 146291324 182864155 215134300 236647730 365728310 402301141 473295460 591619325 731456620 804602282 914320775 1183238650 1609204564 1828641550 2011505705 2366477300 3657283100 4023011410 8046022820 10057528525 20115057050 40230114100