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32212404021040 = 2454723773604177
BaseRepresentation
bin1110101001100000010001…
…11001100010011100110000
311020001110211211011211222021
413110300020321202130300
513210232000412133130
6152302101335321224
76533161254315025
oct724601071423460
9136043754154867
1032212404021040
11a29a2273266a1
123742b90b20214
1314c8802a75bb9
147d513546954c
153acdba1a637a
hex1d4c08e62730

32212404021040 has 80 divisors (see below), whose sum is σ = 76519524615552. Its totient is φ = 12605504643072.

The previous prime is 32212404020941. The next prime is 32212404021067. The reversal of 32212404021040 is 4012040421223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 32212404020996 and 32212404021014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7135432 + ... + 10739608.

Almost surely, 232212404021040 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 32212404021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38259762307776).

32212404021040 is an abundant number, since it is smaller than the sum of its proper divisors (44307120594512).

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

32212404021040 is a wasteful number, since it uses less digits than its factorization.

32212404021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606614 (or 3606608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 32212404021040 its reverse (4012040421223), we get a palindrome (36224444442263).

The spelling of 32212404021040 in words is "thirty-two trillion, two hundred twelve billion, four hundred four million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 2377 3760 4754 9508 11885 19016 23770 38032 47540 95080 111719 190160 223438 446876 558595 893752 1117190 1787504 2234380 3604177 4468760 7208354 8937520 14416708 18020885 28833416 36041770 57666832 72083540 144167080 169396319 288334160 338792638 677585276 846981595 1355170552 1693963190 2710341104 3387926380 6775852760 8567128729 13551705520 17134257458 34268514916 42835643645 68537029832 85671287290 137074059664 171342574580 342685149160 402655050263 685370298320 805310100526 1610620201052 2013275251315 3221240402104 4026550502630 6442480804208 8053101005260 16106202010520 32212404021040