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146335214060 = 225721275872003
BaseRepresentation
bin1000100001001001000…
…0100010100111101100
3111222201100112002122222
42020102100202213230
54344143303322220
6151120411254512
713400215540100
oct2102220424754
9458640462588
10146335214060
1157073460242
122443b44a438
1310a51237b79
147122b79900
153c16ec1e25
hex22124229ec

146335214060 has 144 divisors (see below), whose sum is σ = 361084760064. Its totient is φ = 49667409792.

The previous prime is 146335214009. The next prime is 146335214101. The reversal of 146335214060 is 60412533641.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 146335214060.

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, 73057019 + ... + 73059021.

It is an arithmetic number, because the mean of its divisors is an integer number (2507533056).

Almost surely, 2146335214060 is an apocalyptic number.

146335214060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146335214060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180542380032).

146335214060 is an abundant number, since it is smaller than the sum of its proper divisors (214749546004).

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

146335214060 is a wasteful number, since it uses less digits than its factorization.

146335214060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 146335214060 in words is "one hundred forty-six billion, three hundred thirty-five million, two hundred fourteen thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 127 140 196 245 254 490 508 587 635 889 980 1174 1270 1778 2003 2348 2540 2935 3556 4006 4109 4445 5870 6223 8012 8218 8890 10015 11740 12446 14021 16436 17780 20030 20545 24892 28042 28763 31115 40060 41090 56084 57526 62230 70105 74549 82180 98147 115052 124460 140210 143815 149098 196294 254381 280420 287630 298196 372745 392588 490735 508762 521843 575260 745490 981470 1017524 1043686 1175761 1271905 1490980 1780667 1962940 2087372 2351522 2543810 2609215 3561334 3652901 4703044 5087620 5218430 5878805 7122668 7305802 8230327 8903335 10436860 11757610 12464669 14611604 16460654 17806670 18264505 23515220 24929338 32921308 35613340 36529010 41151635 49858676 57612289 62323345 73058020 82303270 115224578 124646690 149321647 164606540 230449156 249293380 288061445 298643294 576122890 597286588 746608235 1045251529 1152245780 1493216470 2090503058 2986432940 4181006116 5226257645 7316760703 10452515290 14633521406 20905030580 29267042812 36583803515 73167607030 146335214060