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146000322468 = 2232711134051513
BaseRepresentation
bin1000011111111001001…
…1000001111110100100
3111221212000100211202200
42013332103001332210
54343002040304333
6151023245334500
713356011156550
oct2077623017644
9457760324680
10146000322468
1156a11415230
1224367267430
13109c9a41770
1470d04c2860
153be78bec13
hex21fe4c1fa4

146000322468 has 144 divisors (see below), whose sum is σ = 495516368256. Its totient is φ = 35005063680.

The previous prime is 146000322467. The next prime is 146000322469. The reversal of 146000322468 is 864223000641.

146000322468 is a `hidden beast` number, since 1 + 4 + 600 + 0 + 3 + 2 + 2 + 46 + 8 = 666.

146000322468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146000322467) and next prime (146000322469).

It is a super-2 number, since 2×1460003224682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (146000322467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989721 + ... + 2061792.

Almost surely, 2146000322468 is an apocalyptic number.

146000322468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146000322468 is an abundant number, since it is smaller than the sum of its proper divisors (349516045788).

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

146000322468 is a wasteful number, since it uses less digits than its factorization.

146000322468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051554 (or 4051549 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 146000322468 in words is "one hundred forty-six billion, three hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 4051513 8103026 12154539 16206052 24309078 28360591 36463617 44566643 48618156 52669669 56721182 72927234 85081773 89133286 105339338 113442364 133699929 145854468 158009007 170163546 178266572 210678676 255245319 267399858 311966501 316018014 340327092 368687683 401099787 474027021 510490638 534799716 579366359 623933002 632036028 737375366 802199574 935899503 948054042 1020981276 1106063049 1158732718 1247866004 1474750732 1604399148 1738099077 1871799006 1896108084 2212126098 2317465436 2807698509 3318189147 3476198154 3743598012 4055564513 4424252196 5214297231 5615397018 6636378294 6952396308 8111129026 10428594462 11230794036 12166693539 13272756588 16222258052 20857188924 24333387078 36500080617 48666774156 73000161234 146000322468