Search a number
-
+
145442524654098 = 23377322447234811
BaseRepresentation
bin100001000100011101111010…
…000001000110101000010010
3201001222011120121120021212000
4201010131322001012220102
5123030412242302412343
61233155212354414430
742430606226403510
oct4104357201065022
9631864517507760
10145442524654098
1142384912541131
121438b89b291416
13632022c2475c9
1427cb6548314b0
1511c3461a88ed3
hex84477a046a12

145442524654098 has 128 divisors (see below), whose sum is σ = 374456086487040. Its totient is φ = 40983759941760.

The previous prime is 145442524654061. The next prime is 145442524654183. The reversal of 145442524654098 is 890456425244541.

145442524654098 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 4 + 2 + 524 + 65 + 40 + 9 + 8 = 666.

145442524654098 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 619285113 + ... + 619519923.

It is an arithmetic number, because the mean of its divisors is an integer number (2925438175680).

Almost surely, 2145442524654098 is an apocalyptic number.

145442524654098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145442524654098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187228043243520).

145442524654098 is an abundant number, since it is smaller than the sum of its proper divisors (229013561832942).

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

145442524654098 is a wasteful number, since it uses less digits than its factorization.

145442524654098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257349 (or 257343 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 145442524654098 in words is "one hundred forty-five trillion, four hundred forty-two billion, five hundred twenty-four million, six hundred fifty-four thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 9198 13797 22447 27594 44894 67341 134682 157129 202023 234811 314258 404046 469622 471387 606069 704433 942774 1212138 1408866 1414161 1638631 1643677 2113299 2828322 3277262 3287354 4226598 4242483 4915893 4931031 6339897 8484966 9831786 9862062 11470417 12679794 14747679 14793093 17141203 22940834 29495358 29586186 34282406 34411251 44243037 44379279 51423609 68822502 88486074 88758558 102847218 103233753 119988421 154270827 206467506 239976842 308541654 309701259 359965263 462812481 619402518 719930526 925624962 1079895789 2159791578 3239687367 5270802517 6479374734 10541605034 15812407551 31624815102 36895617619 47437222653 73791235238 94874445306 110686852857 142311667959 221373705714 284623335918 332060558571 384768583741 664121117142 769537167482 996181675713 1154305751223 1992363351426 2308611502446 2693380086187 3462917253669 5386760172374 6925834507338 8080140258561 10388751761007 16160280517122 20777503522014 24240420775683 48480841551366 72721262327049 145442524654098