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35033040420240 = 24352942533118343
BaseRepresentation
bin1111111011100110000111…
…11011011111110110010000
311121001010101211012010202110
413331303003323133312100
514042440131321421430
6202301542342345320
710244024254161222
oct775630373376620
9147033354163673
1035033040420240
111018747a00a345
123b1977a42b240
1316717a8762a25
14891872ca6412
1540b452eee7b0
hex1fdcc3edfd90

35033040420240 has 160 divisors (see below), whose sum is σ = 112350927294720. Its totient is φ = 9019712923648.

The previous prime is 35033040420199. The next prime is 35033040420241. The reversal of 35033040420240 is 4202404033053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35033040420198 and 35033040420207.

It is not an unprimeable number, because it can be changed into a prime (35033040420241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295970509 + ... + 296088851.

It is an arithmetic number, because the mean of its divisors is an integer number (702193295592).

Almost surely, 235033040420240 is an apocalyptic number.

35033040420240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35033040420240 is an abundant number, since it is smaller than the sum of its proper divisors (77317886874480).

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

35033040420240 is a wasteful number, since it uses less digits than its factorization.

35033040420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160921 (or 160915 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 35033040420240 its reverse (4202404033053), we get a palindrome (39235444453293).

The spelling of 35033040420240 in words is "thirty-five trillion, thirty-three billion, forty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 42533 85066 118343 127599 170132 212665 236686 255198 340264 355029 425330 473372 510396 591715 637995 680528 710058 850660 946744 1020792 1183430 1233457 1275990 1420116 1701320 1775145 1893488 2041584 2366860 2466914 2551980 2840232 3402640 3431947 3550290 3700371 4733720 4933828 5103960 5680464 6167285 6863894 7100580 7400742 9467440 9867656 10207920 10295841 12334570 13727788 14201160 14801484 17159735 18501855 19735312 20591682 24669140 27455576 28402320 29602968 34319470 37003710 41183364 49338280 51479205 54911152 59205936 68638940 74007420 82366728 98676560 102958410 137277880 148014840 164733456 205916820 274555760 296029680 411833640 823667280 5033482819 10066965638 15100448457 20133931276 25167414095 30200896914 40267862552 50334828190 60401793828 75502242285 80535725104 100669656380 120803587656 145971001751 151004484570 201339312760 241607175312 291942003502 302008969140 402678625520 437913005253 583884007004 604017938280 729855008755 875826010506 1167768014008 1208035876560 1459710017510 1751652021012 2189565026265 2335536028016 2919420035020 3503304042024 4379130052530 5838840070040 7006608084048 8758260105060 11677680140080 17516520210120 35033040420240