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214000034025570 = 235134765317878793
BaseRepresentation
bin110000101010000111000100…
…000000101001000001100010
31001001201012111022120200122020
4300222013010000221001202
5211022134032202304240
62035050131453522310
763034664224131162
oct6052070400510142
91031635438520566
10214000034025570
11622069a5268941
12200027824a3396
1392541692971b0
143abb92a7cc5a2
1519b1972e5e0d0
hexc2a1c4029062

214000034025570 has 128 divisors (see below), whose sum is σ = 565741110057984. Its totient is φ = 51477190047744.

The previous prime is 214000034025553. The next prime is 214000034025571. The reversal of 214000034025570 is 75520430000412.

It is not an unprimeable number, because it can be changed into a prime (214000034025571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030094 + ... + 20908886.

It is an arithmetic number, because the mean of its divisors is an integer number (4419852422328).

Almost surely, 2214000034025570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214000034025570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282870555028992).

214000034025570 is an abundant number, since it is smaller than the sum of its proper divisors (351741076032414).

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

214000034025570 is a wasteful number, since it uses less digits than its factorization.

214000034025570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17879516.

The product of its (nonzero) digits is 33600, while the sum is 33.

Adding to 214000034025570 its reverse (75520430000412), we get a palindrome (289520464025982).

The spelling of 214000034025570 in words is "two hundred fourteen trillion, thirty-four million, twenty-five thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 653 705 1222 1306 1410 1833 1959 3055 3265 3666 3918 6110 6530 8489 9165 9795 16978 18330 19590 25467 30691 42445 50934 61382 84890 92073 127335 153455 184146 254670 306910 398983 460365 797966 920730 1196949 1994915 2393898 3989830 5984745 11969490 17878793 35757586 53636379 89393965 107272758 178787930 232424309 268181895 464848618 536363790 697272927 840303271 1162121545 1394545854 1680606542 2324243090 2520909813 3486364635 4201516355 5041819626 6972729270 8403032710 10923942523 11674851829 12604549065 21847885046 23349703658 25209098130 32771827569 35024555487 54619712615 58374259145 65543655138 70049110974 109239425230 116748518290 151773073777 163859137845 175122777435 303546147554 327718275690 350245554870 455319221331 548718035963 758865368885 910638442662 1097436071926 1517730737770 1646154107889 2276596106655 2743590179815 3292308215778 4553192213310 5487180359630 7133334467519 8230770539445 14266668935038 16461541078890 21400003402557 35666672337595 42800006805114 71333344675190 107000017012785 214000034025570