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40114044240 = 24352323331189
BaseRepresentation
bin100101010110111110…
…111011110101010000
310211112121122120210020
4211112332323311100
51124123143403430
630232251103440
72620030515204
oct452676736520
9124477576706
1040114044240
1116015372186
127936141b80
133a238a266a
141d277b6b04
15109ba12b10
hex956fbbd50

40114044240 has 160 divisors (see below), whose sum is σ = 130321301760. Its totient is φ = 10187747328.

The previous prime is 40114044239. The next prime is 40114044247. The reversal of 40114044240 is 4244041104.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40114044240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40114044247) 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, 1270566 + ... + 1301754.

It is an arithmetic number, because the mean of its divisors is an integer number (814508136).

Almost surely, 240114044240 is an apocalyptic number.

40114044240 is a gapful number since it is divisible by the number (40) 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 40114044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65160650880).

40114044240 is an abundant number, since it is smaller than the sum of its proper divisors (90207257520).

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

40114044240 is a wasteful number, since it uses less digits than its factorization.

40114044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31461 (or 31455 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40114044240 its reverse (4244041104), we get a palindrome (44358085344).

The spelling of 40114044240 in words is "forty billion, one hundred fourteen million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 233 240 276 345 368 460 466 552 690 699 920 932 1104 1165 1380 1398 1840 1864 2330 2760 2796 3495 3728 4660 5359 5520 5592 6990 9320 10718 11184 13980 16077 18640 21436 26795 27960 31189 32154 42872 53590 55920 62378 64308 80385 85744 93567 107180 124756 128616 155945 160770 187134 214360 249512 257232 311890 321540 374268 428720 467835 499024 623780 643080 717347 748536 935670 1247560 1286160 1434694 1497072 1871340 2152041 2495120 2869388 3586735 3742680 4304082 5738776 7173470 7267037 7485360 8608164 10760205 11477552 14346940 14534074 17216328 21520410 21801111 28693880 29068148 34432656 36335185 43040820 43602222 57387760 58136296 72670370 86081640 87204444 109005555 116272592 145340740 167141851 172163280 174408888 218011110 290681480 334283702 348817776 436022220 501425553 581362960 668567404 835709255 872044440 1002851106 1337134808 1671418510 1744088880 2005702212 2507127765 2674269616 3342837020 4011404424 5014255530 6685674040 8022808848 10028511060 13371348080 20057022120 40114044240