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45341132032440 = 23325137919325467
BaseRepresentation
bin10100100111100110011100…
…00100011000100110111000
312221112120101110010220112200
422103303032010120212320
521420332114300014230
6240233232320110200
712356534343200256
oct1223631604304670
9187476343126480
1045341132032440
11134a107aa9a672
1251034b9465360
131c3b85bc2795a
14b2a745a4b5d6
15539660b96160
hex293cce1189b8

45341132032440 has 96 divisors (see below), whose sum is σ = 148434290063280. Its totient is φ = 12002713284096.

The previous prime is 45341132032429. The next prime is 45341132032459. The reversal of 45341132032440 is 4423023114354.

45341132032440 is a `hidden beast` number, since 4 + 5 + 3 + 4 + 1 + 1 + 3 + 203 + 2 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45341132032395 and 45341132032404.

It is a congruent number.

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, 459613414 + ... + 459712053.

Almost surely, 245341132032440 is an apocalyptic number.

45341132032440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45341132032440 is an abundant number, since it is smaller than the sum of its proper divisors (103093158030840).

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

45341132032440 is a wasteful number, since it uses less digits than its factorization.

45341132032440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919325621 (or 919325614 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 45341132032440 its reverse (4423023114354), we get a palindrome (49764155146794).

The spelling of 45341132032440 in words is "forty-five trillion, three hundred forty-one billion, one hundred thirty-two million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 919325467 1838650934 2757976401 3677301868 4596627335 5515952802 7354603736 8273929203 9193254670 11031905604 13789882005 16547858406 18386509340 22063811208 27579764010 33095716812 36773018680 41369646015 55159528020 66191433624 82739292030 110319056040 125947588979 165478584060 251895177958 330957168120 377842766937 503790355916 629737944895 755685533874 1007580711832 1133528300811 1259475889790 1511371067748 1889213834685 2267056601622 2518951779580 3022742135496 3778427669370 4534113203244 5037903559160 5667641504055 7556855338740 9068226406488 11335283008110 15113710677480 22670566016220 45341132032440