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154002125345440 = 2552933190113221
BaseRepresentation
bin100011000001000001101001…
…111110011101001010100000
3202012021110101220101020012111
4203001001221332131022200
5130141132323042023230
61303311333311405104
744303200141665061
oct4301015176351240
9665243356336174
10154002125345440
1145084a30a26369
1215332788223794
1367c1451a879a8
142a05a57b22568
1512c0e36cab92a
hex8c1069f9d2a0

154002125345440 has 48 divisors (see below), whose sum is σ = 376375883937480. Its totient is φ = 59476682890240.

The previous prime is 154002125345399. The next prime is 154002125345491. The reversal of 154002125345440 is 44543521200451.

It can be written as a sum of positive squares in 4 ways, for example, as 89558286498576 + 64443838846864 = 9463524^2 + 8027692^2 .

It is a super-2 number, since 2×1540021253454402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 154002125345393 and 154002125345402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16595051971 + ... + 16595061250.

Almost surely, 2154002125345440 is an apocalyptic number.

154002125345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154002125345440 is an abundant number, since it is smaller than the sum of its proper divisors (222373758592040).

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

154002125345440 is a wasteful number, since it uses less digits than its factorization.

154002125345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33190113265 (or 33190113257 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 154002125345440 its reverse (44543521200451), we get a palindrome (198545646545891).

The spelling of 154002125345440 in words is "one hundred fifty-four trillion, two billion, one hundred twenty-five million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 33190113221 66380226442 132760452884 165950566105 265520905768 331901132210 531041811536 663802264420 962513283409 1062083623072 1327604528840 1925026566818 2655209057680 3850053133636 4812566417045 5310418115360 7700106267272 9625132834090 15400212534544 19250265668180 30800425069088 38500531336360 77001062672720 154002125345440