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34030401410000 = 245423147958267
BaseRepresentation
bin1111011110011010100011…
…11111001101001111010000
311110111021102012000002210102
413233031101333031033100
513430023230230110000
6200213203420551532
710111421033204612
oct757152177151720
9143437365002712
1034030401410000
11a930237474a56
1239973a06b25a8
1315cb08c816088
1485911a184db2
153e031ec4e3d5
hex1ef351fcd3d0

34030401410000 has 100 divisors (see below), whose sum is σ = 85973223037152. Its totient is φ = 13020327408000.

The previous prime is 34030401409993. The next prime is 34030401410051. The reversal of 34030401410000 is 1410403043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73749134 + ... + 74209133.

Almost surely, 234030401410000 is an apocalyptic number.

It is an amenable number.

34030401410000 is an abundant number, since it is smaller than the sum of its proper divisors (51942821627152).

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

34030401410000 is a wasteful number, since it uses less digits than its factorization.

34030401410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147958318 (or 147958297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34030401410000 its reverse (1410403043), we get a palindrome (34031811813043).

The spelling of 34030401410000 in words is "thirty-four trillion, thirty billion, four hundred one million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 115000 230000 147958267 295916534 591833068 739791335 1183666136 1479582670 2367332272 2959165340 3403040141 3698956675 5918330680 6806080282 7397913350 11836661360 13612160564 14795826700 17015200705 18494783375 27224321128 29591653400 34030401410 36989566750 54448642256 59183306800 68060802820 73979133500 85076003525 92473916875 136121605640 147958267000 170152007050 184947833750 272243211280 295916534000 340304014100 369895667500 425380017625 680608028200 739791335000 850760035250 1361216056400 1479582670000 1701520070500 2126900088125 3403040141000 4253800176250 6806080282000 8507600352500 17015200705000 34030401410000