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145011435432 = 233151311128663
BaseRepresentation
bin1000011100001101011…
…0101110011110101000
3111212022002121011202220
42013003112232132220
54333440411413212
6150341202154040
713322342602143
oct2070326563650
9455262534686
10145011435432
11565541a1816
1224130052920
131089cbc58c6
14703902905a
153b8ab8638c
hex21c35ae7a8

145011435432 has 64 divisors (see below), whose sum is σ = 366105692160. Its totient is φ = 47862264000.

The previous prime is 145011435397. The next prime is 145011435433. The reversal of 145011435432 is 234534110541.

145011435432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145011435393 and 145011435402.

It is not an unprimeable number, because it can be changed into a prime (145011435433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062733 + ... + 1191395.

It is an arithmetic number, because the mean of its divisors is an integer number (5720401440).

Almost surely, 2145011435432 is an apocalyptic number.

145011435432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145011435432 is an abundant number, since it is smaller than the sum of its proper divisors (221094256728).

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

145011435432 is a wasteful number, since it uses less digits than its factorization.

145011435432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129134 (or 129130 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 145011435432 its reverse (234534110541), we get a palindrome (379545545973).

The spelling of 145011435432 in words is "one hundred forty-five billion, eleven million, four hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 151 302 311 453 604 622 906 933 1208 1244 1812 1866 2488 3624 3732 7464 46961 93922 128663 140883 187844 257326 281766 375688 385989 514652 563532 771978 1029304 1127064 1543956 3087912 19428113 38856226 40014193 58284339 77712452 80028386 116568678 120042579 155424904 160056772 233137356 240085158 320113544 466274712 480170316 960340632 6042143143 12084286286 18126429429 24168572572 36252858858 48337145144 72505717716 145011435432