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4341022040004 = 22313791732036077
BaseRepresentation
bin111111001010111001000…
…100111001111111000100
3120100222221021211021111020
4333022321010321333010
51032110403120240004
613122123223511140
7625425400343646
oct77127104717704
916328837737436
104341022040004
111424020853771
125a139b5b84b0
132564836628a0
1411016c696896
1577dbec378d9
hex3f2b9139fc4

4341022040004 has 96 divisors (see below), whose sum is σ = 11110144657920. Its totient is φ = 1311167789568.

The previous prime is 4341022039979. The next prime is 4341022040029. The reversal of 4341022040004 is 4000402201434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4341022039979) and next prime (4341022040029).

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, 1114014 + ... + 3150090.

It is an arithmetic number, because the mean of its divisors is an integer number (115730673520).

Almost surely, 24341022040004 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 4341022040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555072328960).

4341022040004 is an abundant number, since it is smaller than the sum of its proper divisors (6769122617916).

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

4341022040004 is a wasteful number, since it uses less digits than its factorization.

4341022040004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036349 (or 2036347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4341022040004 its reverse (4000402201434), we get a palindrome (8341424241438).

The spelling of 4341022040004 in words is "four trillion, three hundred forty-one billion, twenty-two million, forty thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 173 237 316 346 474 519 692 948 1027 1038 2054 2076 2249 3081 4108 4498 6162 6747 8996 12324 13494 13667 26988 27334 41001 54668 82002 164004 177671 355342 533013 710684 1066026 2036077 2132052 4072154 6108231 8144308 12216462 24432924 26469001 52938002 79407003 105876004 158814006 160850083 317628012 321700166 352241321 482550249 643400332 704482642 965100498 1056723963 1408965284 1930200996 2091051079 2113447926 4182102158 4226895852 4579137173 6273153237 8364204316 9158274346 12546306474 13737411519 18316548692 25092612948 27474823038 27827064359 54949646076 55654128718 83481193077 111308257436 166962386154 333924772308 361751836667 723503673334 1085255510001 1447007346668 2170511020002 4341022040004