Search a number
-
+
144154401022032 = 24322073136058383
BaseRepresentation
bin100000110001101110001111…
…110111011010000001010000
3200220102000201001200211122220
4200301232033313122001100
5122343311203130201112
61230331341222501040
742235545304236402
oct4061561767320120
9626360631624586
10144154401022032
1141a285a1308a55
1214202109294780
1362589177b881b
1427851786c0b72
15119ebc061298c
hex831b8fdda050

144154401022032 has 40 divisors (see below), whose sum is σ = 372415743283584. Its totient is φ = 48049289720064.

The previous prime is 144154401022031. The next prime is 144154401022039. The reversal of 144154401022032 is 230220104451441.

It is a super-2 number, since 2×1441544010220322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144154401021984 and 144154401022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144154401022031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66969688 + ... + 69088695.

Almost surely, 2144154401022032 is an apocalyptic number.

144154401022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144154401022032 is an abundant number, since it is smaller than the sum of its proper divisors (228261342261552).

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

144154401022032 is a wasteful number, since it uses less digits than its factorization.

144154401022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136080467 (or 136080461 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 144154401022032 its reverse (230220104451441), we get a palindrome (374374505473473).

The spelling of 144154401022032 in words is "one hundred forty-four trillion, one hundred fifty-four billion, four hundred one million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 22073 44146 66219 88292 132438 176584 264876 353168 529752 1059504 136058383 272116766 408175149 544233532 816350298 1088467064 1632700596 2176934128 3265401192 6530802384 3003216687959 6006433375918 9009650063877 12012866751836 18019300127754 24025733503672 36038600255508 48051467007344 72077200511016 144154401022032