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33431422002144 = 2532111650445399
BaseRepresentation
bin1111001100111110111000…
…00010000110001111100000
311101101000100021120111112020
413212133130002012033200
513340220023013032034
6155034103325301440
710020224542224105
oct746373402061740
9141330307514466
1033431422002144
11a71a20618a441
1238bb297704880
13158675345585a
1483813768caac
153ce9647ce249
hex1e67dc0863e0

33431422002144 has 48 divisors (see below), whose sum is σ = 88173395049600. Its totient is φ = 11090993074560.

The previous prime is 33431422002107. The next prime is 33431422002197. The reversal of 33431422002144 is 44120022413433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×334314220021442 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825202444 + ... + 825242955.

It is an arithmetic number, because the mean of its divisors is an integer number (1836945730200).

Almost surely, 233431422002144 is an apocalyptic number.

It is an amenable number.

33431422002144 is an abundant number, since it is smaller than the sum of its proper divisors (54741973047456).

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

33431422002144 is a wasteful number, since it uses less digits than its factorization.

33431422002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650445623 (or 1650445615 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 33431422002144 its reverse (44120022413433), we get a palindrome (77551444415577).

The spelling of 33431422002144 in words is "thirty-three trillion, four hundred thirty-one billion, four hundred twenty-two million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 211 422 633 844 1266 1688 2532 3376 5064 6752 10128 20256 1650445399 3300890798 4951336197 6601781596 9902672394 13203563192 19805344788 26407126384 39610689576 52814252768 79221379152 158442758304 348243979189 696487958378 1044731937567 1392975916756 2089463875134 2785951833512 4178927750268 5571903667024 8357855500536 11143807334048 16715711001072 33431422002144