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33381440084040 = 23351914640982493
BaseRepresentation
bin1111001011100001110001…
…11000001101100001001000
311101012020022221202222121020
413211300320320031201020
513333410142130142130
6154555115531312440
710013505130021206
oct745607070154110
9141166287688536
1033381440084040
11a6aaa97747604
1238b16688ab720
131581b19377199
14835955508076
153cd4db80be10
hex1e5c38e0d848

33381440084040 has 64 divisors (see below), whose sum is σ = 105415073956800. Its totient is φ = 8433205915392.

The previous prime is 33381440083973. The next prime is 33381440084101. The reversal of 33381440084040 is 4048004418333.

It is a super-2 number, since 2×333814400840402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33381440083983 and 33381440084001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7320488967 + ... + 7320493526.

It is an arithmetic number, because the mean of its divisors is an integer number (1647110530575).

Almost surely, 233381440084040 is an apocalyptic number.

33381440084040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33381440084040 is an abundant number, since it is smaller than the sum of its proper divisors (72033633872760).

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

33381440084040 is a wasteful number, since it uses less digits than its factorization.

33381440084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14640982526 (or 14640982522 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 33381440084040 in words is "thirty-three trillion, three hundred eighty-one billion, four hundred forty million, eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 14640982493 29281964986 43922947479 58563929972 73204912465 87845894958 117127859944 146409824930 175691789916 219614737395 278178667367 292819649860 351383579832 439229474790 556357334734 585639299720 834536002101 878458949580 1112714669468 1390893336835 1669072004202 1756917899160 2225429338936 2781786673670 3338144008404 4172680010505 5563573347340 6676288016808 8345360021010 11127146694680 16690720042020 33381440084040