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33300432410140 = 22574157110160191
BaseRepresentation
bin1111001001001010111000…
…11100011101011000011100
311100220111020101112202212201
413210211130130131120130
513331043241144111030
6154454001335541244
710004606521114630
oct744453434353034
9140814211482781
1033300432410140
11a6796a7a56185
123899a1b52a824
1315772a954932c
14831a6c9c4dc0
153cb349b432ca
hex1e495c71d61c

33300432410140 has 96 divisors (see below), whose sum is σ = 82013720076288. Its totient is φ = 11119311936000.

The previous prime is 33300432410107. The next prime is 33300432410153. The reversal of 33300432410140 is 4101423400333.

It is a super-2 number, since 2×333004324101402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 33300432410099 and 33300432410108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1802556 + ... + 8357635.

It is an arithmetic number, because the mean of its divisors is an integer number (854309584128).

Almost surely, 233300432410140 is an apocalyptic number.

It is an amenable number.

33300432410140 is an abundant number, since it is smaller than the sum of its proper divisors (48713287666148).

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

33300432410140 is a wasteful number, since it uses less digits than its factorization.

33300432410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160819 (or 10160817 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33300432410140 its reverse (4101423400333), we get a palindrome (37401855810473).

The spelling of 33300432410140 in words is "thirty-three trillion, three hundred billion, four hundred thirty-two million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 571 574 820 1142 1148 1435 2284 2855 2870 3997 5710 5740 7994 11420 15988 19985 23411 39970 46822 79940 93644 117055 163877 234110 327754 468220 655508 819385 1638770 3277540 10160191 20320382 40640764 50800955 71121337 101601910 142242674 203203820 284485348 355606685 416567831 711213370 833135662 1422426740 1666271324 2082839155 2915974817 4165678310 5801469061 5831949634 8331356620 11602938122 11663899268 14579874085 23205876244 29007345305 29159748170 40610283427 58014690610 58319496340 81220566854 116029381220 162441133708 203051417135 237860231501 406102834270 475720463002 812205668540 951440926004 1189301157505 1665021620507 2378602315010 3330043241014 4757204630020 6660086482028 8325108102535 16650216205070 33300432410140