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32001345101040 = 2435723828192161
BaseRepresentation
bin1110100011010111001001…
…10011101001110011110000
311012022022001202120211012020
413101223210303221303300
513143302223321213130
6152021114234231440
76512010110146530
oct721534463516360
9135268052524166
1032001345101040
11a218770044197
12370a0a9885580
1314b193856cba3
147c8c3273b4c0
153a7665e04e10
hex1d1ae4ce9cf0

32001345101040 has 160 divisors (see below), whose sum is σ = 118305593957376. Its totient is φ = 6996567367680.

The previous prime is 32001345101029. The next prime is 32001345101081. The reversal of 32001345101040 is 4010154310023.

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 32001345101040.

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, 414057441 + ... + 414134720.

Almost surely, 232001345101040 is an apocalyptic number.

32001345101040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32001345101040 is an abundant number, since it is smaller than the sum of its proper divisors (86304248856336).

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

32001345101040 is a wasteful number, since it uses less digits than its factorization.

32001345101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828192207 (or 828192201 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 32001345101040 its reverse (4010154310023), we get a palindrome (36011499411063).

The spelling of 32001345101040 in words is "thirty-two trillion, one billion, three hundred forty-five million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 828192161 1656384322 2484576483 3312768644 4140960805 4969152966 5797345127 6625537288 8281921610 9938305932 11594690254 12422882415 13251074576 16563843220 17392035381 19048419703 19876611864 23189380508 24845764830 28986725635 33127686440 34784070762 38096839406 39753223728 46378761016 49691529660 57145259109 57973451270 66255372880 69568141524 76193678812 86960176905 92757522032 95242098515 99383059320 114290518218 115946902540 133338937921 139136283048 152387357624 173920353810 190484197030 198766118640 228581036436 231893805080 266677875842 278272566096 285726295545 304774715248 347840707620 380968394060 400016813763 457162072872 463787610160 533355751684 571452591090 666694689605 695681415240 761936788120 800033627526 914324145744 1066711503368 1142905182180 1333389379210 1391362830480 1523873576240 1600067255052 2000084068815 2133423006736 2285810364360 2666778758420 3200134510104 4000168137630 4571620728720 5333557516840 6400269020208 8000336275260 10667115033680 16000672550520 32001345101040