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45434205120 = 2635311526687
BaseRepresentation
bin101010010100000101…
…101111001111000000
311100021101110202111210
4222110011233033000
51221022124030440
632512220410120
73165621241263
oct522405571700
9140241422453
1045434205120
11182a5473857
12897b9a6940
134390b6a755
1422b01b8cda
1512adb0ba80
hexa9416f3c0

45434205120 has 112 divisors (see below), whose sum is σ = 148907040768. Its totient is φ = 11724948480.

The previous prime is 45434205119. The next prime is 45434205121. The reversal of 45434205120 is 2150243454.

It is an interprime number because it is at equal distance from previous prime (45434205119) and next prime (45434205121).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45434205121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733584 + ... + 793103.

Almost surely, 245434205120 is an apocalyptic number.

45434205120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45434205120 is an abundant number, since it is smaller than the sum of its proper divisors (103472835648).

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

45434205120 is a wasteful number, since it uses less digits than its factorization.

45434205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526738 (or 1526728 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 45434205120 its reverse (2150243454), we get a palindrome (47584448574).

The spelling of 45434205120 in words is "forty-five billion, four hundred thirty-four million, two hundred five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 1526687 3053374 4580061 6106748 7633435 9160122 12213496 15266870 18320244 22900305 24426992 30533740 36640488 45800610 47327297 48853984 61067480 73280976 91601220 94654594 97707968 122134960 141981891 146561952 183202440 189309188 236636485 244269920 283963782 293123904 366404880 378618376 473272970 488539840 567927564 709909455 732809760 757236752 946545940 1135855128 1419818910 1465619520 1514473504 1893091880 2271710256 2839637820 3028947008 3786183760 4543420512 5679275640 7572367520 9086841024 11358551280 15144735040 22717102560 45434205120