Search a number
-
+
145554143313570 = 23517285400281007
BaseRepresentation
bin100001000110000101110111…
…000000011111111010100010
3201002100211200111202200120220
4201012011313000133322202
5123034224341142013240
61233322352245543510
742441640234351005
oct4106056700377242
9632324614680526
10145554143313570
1142418190348042
12143a9450114b96
13632a909bb1484
1427d2c029a553c
1511c62e5d195d0
hex84617701fea2

145554143313570 has 32 divisors (see below), whose sum is σ = 369878764186368. Its totient is φ = 36531235968768.

The previous prime is 145554143313539. The next prime is 145554143313583. The reversal of 145554143313570 is 75313341455541.

It is a super-4 number, since 4×1455541433135704 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142700139994 + ... + 142700141013.

It is an arithmetic number, because the mean of its divisors is an integer number (11558711380824).

Almost surely, 2145554143313570 is an apocalyptic number.

145554143313570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145554143313570 is an abundant number, since it is smaller than the sum of its proper divisors (224324620872798).

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

145554143313570 is a wasteful number, since it uses less digits than its factorization.

145554143313570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285400281034.

The product of its (nonzero) digits is 7560000, while the sum is 51.

The spelling of 145554143313570 in words is "one hundred forty-five trillion, five hundred fifty-four billion, one hundred forty-three million, three hundred thirteen thousand, five hundred seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 285400281007 570800562014 856200843021 1427001405035 1712401686042 2854002810070 4281004215105 4851804777119 8562008430210 9703609554238 14555414331357 24259023885595 29110828662714 48518047771190 72777071656785 145554143313570