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4114022030034 = 237271559135251
BaseRepresentation
bin111011110111011110110…
…100100101101011010010
3112120022000021020222021120
4323313132310211223102
51014401004114430114
612425542225503110
7603141205162500
oct73673664455322
915508007228246
104114022030034
111346824202444
125653a97a1a96
1323ac4865b467
1410319676d670
157203622a5a9
hex3bdded25ad2

4114022030034 has 96 divisors (see below), whose sum is σ = 9708218053632. Its totient is φ = 1158639300000.

The previous prime is 4114022030021. The next prime is 4114022030047. The reversal of 4114022030034 is 4300302204114.

It is an interprime number because it is at equal distance from previous prime (4114022030021) and next prime (4114022030047).

It is a junction number, because it is equal to n+sod(n) for n = 4114022029986 and 4114022030013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116688909 + ... + 116724159.

It is an arithmetic number, because the mean of its divisors is an integer number (101127271392).

Almost surely, 24114022030034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114022030034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854109026816).

4114022030034 is an abundant number, since it is smaller than the sum of its proper divisors (5594196023598).

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

4114022030034 is a wasteful number, since it uses less digits than its factorization.

4114022030034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40932 (or 40925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4114022030034 its reverse (4300302204114), we get a palindrome (8414324234148).

The spelling of 4114022030034 in words is "four trillion, one hundred fourteen billion, twenty-two million, thirty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2982 3479 5591 6958 10437 11182 16773 20874 33546 35251 39137 70502 78274 105753 117411 211506 234822 246757 273959 396961 493514 547918 740271 793922 821877 1190883 1480542 1643754 1727299 2381766 2502821 2778727 3454598 5005642 5181897 5557454 7508463 8336181 10363794 15016926 16672362 17519747 19451089 35039494 38902178 52559241 58353267 105118482 116706534 122638229 197088341 245276458 367914687 394176682 591265023 735829374 1182530046 1379618387 2759236774 4138855161 8277710322 9657328709 13993272211 19314657418 27986544422 28971986127 41979816633 57943972254 83959633266 97952905477 195905810954 293858716431 587717432862 685670338339 1371340676678 2057011015017 4114022030034