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40220400013040 = 24513172383954641
BaseRepresentation
bin10010010010100100010101…
…01001111100111011110000
312021102000212211102201210102
421021102022221330323300
520232432334400404130
6221312555141251532
711320554002202302
oct1111221251747360
9167360784381712
1040220400013040
11118a7415299a85
124616b96703ba8
1319599c9108a70
149d096ba4b972
1549b3590c4645
hex24948aa7cef0

40220400013040 has 160 divisors (see below), whose sum is σ = 106674415900416. Its totient is φ = 13971164037120.

The previous prime is 40220400012983. The next prime is 40220400013051. The reversal of 40220400013040 is 4031000402204.

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

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, 41654120 + ... + 42608760.

Almost surely, 240220400013040 is an apocalyptic number.

40220400013040 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 40220400013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53337207950208).

40220400013040 is an abundant number, since it is smaller than the sum of its proper divisors (66454015887376).

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

40220400013040 is a wasteful number, since it uses less digits than its factorization.

40220400013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957067 (or 957061 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40220400013040 its reverse (4031000402204), we get a palindrome (44251400415244).

The spelling of 40220400013040 in words is "forty trillion, two hundred twenty billion, four hundred million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 2383 3536 4420 4766 8840 9532 11915 17680 19064 23830 30979 38128 40511 47660 61958 81022 95320 123916 154895 162044 190640 202555 247832 309790 324088 405110 495664 526643 619580 648176 810220 954641 1053286 1239160 1620440 1909282 2106572 2478320 2633215 3240880 3818564 4213144 4773205 5266430 7637128 8426288 9546410 10532860 12410333 15274256 16228897 19092820 21065720 24820666 32457794 38185640 42131440 49641332 62051665 64915588 76371280 81144485 99282664 124103330 129831176 162288970 198565328 210975661 248206660 259662352 324577940 421951322 496413320 649155880 843902644 992826640 1054878305 1298311760 1687805288 2109756610 2274909503 3375610576 4219513220 4549819006 8439026440 9099638012 11374547515 16878052880 18199276024 22749095030 29573823539 36398552048 38673461551 45498190060 59147647078 77346923102 90996380120 118295294156 147869117695 154693846204 181992760240 193367307755 236590588312 295738235390 309387692408 386734615510 473181176624 502755000163 591476470780 618775384816 773469231020 1005510000326 1182952941560 1546938462040 2011020000652 2365905883120 2513775000815 3093876924080 4022040001304 5027550001630 8044080002608 10055100003260 20110200006520 40220400013040