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45405141004332 = 22327923368520341
BaseRepresentation
bin10100101001011101101010…
…10011001111000000101100
312221202200121100022120212100
422110232311103033000230
521422404212044114312
6240322500034335100
712364261502366544
oct1224566523170054
9187680540276770
1045405141004332
111351623742963a
1251139a1a2a490
131c448c00c8155
14b2d898b0c324
1553b15a3425dc
hex294bb54cf02c

45405141004332 has 72 divisors (see below), whose sum is σ = 116725773003840. Its totient is φ = 14879328871680.

The previous prime is 45405141004291. The next prime is 45405141004403. The reversal of 45405141004332 is 23340014150454.

45405141004332 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 514 + 100 + 4 + 3 + 32 = 666.

It is a super-2 number, since 2×454051410043322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33597519 + ... + 34922822.

It is an arithmetic number, because the mean of its divisors is an integer number (1621191291720).

Almost surely, 245405141004332 is an apocalyptic number.

It is an amenable number.

45405141004332 is an abundant number, since it is smaller than the sum of its proper divisors (71320631999508).

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

45405141004332 is a wasteful number, since it uses less digits than its factorization.

45405141004332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68520663 (or 68520658 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 45405141004332 its reverse (23340014150454), we get a palindrome (68745155154786).

The spelling of 45405141004332 in words is "forty-five trillion, four hundred five billion, one hundred forty-one million, four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 233 237 316 466 474 699 711 932 948 1398 1422 2097 2796 2844 4194 8388 18407 36814 55221 73628 110442 165663 220884 331326 662652 68520341 137040682 205561023 274081364 411122046 616683069 822244092 1233366138 2466732276 5413106939 10826213878 15965239453 16239320817 21652427756 31930478906 32478641634 47895718359 48717962451 63860957812 64957283268 95791436718 97435924902 143687155077 191582873436 194871849804 287374310154 574748620308 1261253916787 2522507833574 3783761750361 5045015667148 7567523500722 11351285251083 15135047001444 22702570502166 45405141004332