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145402040304 = 2433477161251
BaseRepresentation
bin1000011101101010100…
…0110000111111110000
3111220022022120221221000
42013122220300333300
54340240410242204
6150444034202000
713335124643643
oct2073250607760
9456268527830
10145402040304
115673472aa64
122421aa23300
1310932ac7a51
147074c65a5a
153bb00e1039
hex21daa30ff0

145402040304 has 80 divisors (see below), whose sum is σ = 426237719040. Its totient is φ = 47436120000.

The previous prime is 145402040239. The next prime is 145402040327. The reversal of 145402040304 is 403040204541.

It is a happy number.

145402040304 is a `hidden beast` number, since 1 + 454 + 0 + 204 + 0 + 3 + 0 + 4 = 666.

145402040304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1454020403042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 3560322 + ... + 3600929.

It is an arithmetic number, because the mean of its divisors is an integer number (5327971488).

Almost surely, 2145402040304 is an apocalyptic number.

It is an amenable number.

145402040304 is an abundant number, since it is smaller than the sum of its proper divisors (280835678736).

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

145402040304 is a wasteful number, since it uses less digits than its factorization.

145402040304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7161315 (or 7161303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 145402040304 its reverse (403040204541), we get a palindrome (548442244845).

The spelling of 145402040304 in words is "one hundred forty-five billion, four hundred two million, forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 7161251 14322502 21483753 28645004 42967506 57290008 64451259 85935012 114580016 128902518 171870024 193353777 257805036 336578797 343740048 386707554 515610072 673157594 773415108 1009736391 1031220144 1346315188 1546830216 2019472782 2692630376 3029209173 3093660432 4038945564 5385260752 6058418346 8077891128 9087627519 12116836692 16155782256 18175255038 24233673384 36350510076 48467346768 72701020152 145402040304