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44153621441340 = 22356123112018319
BaseRepresentation
bin10100000101000010100001…
…11010111110101100111100
312210100001012210110111201020
422002201100322332230330
521241403104042110330
6233523521010544140
712204664620544125
oct1202412072765474
9183301183414636
1044153621441340
111308349a248314
124b51326598050
131b8388ccbbc38
14ac909213b04c
1551880c6a1210
hex282850ebeb3c

44153621441340 has 48 divisors (see below), whose sum is σ = 123632169400320. Its totient is φ = 11774105778240.

The previous prime is 44153621441329. The next prime is 44153621441351. The reversal of 44153621441340 is 4314412635144.

44153621441340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44153621441329) and next prime (44153621441351).

It is a junction number, because it is equal to n+sod(n) for n = 44153621441292 and 44153621441301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335300 + ... + 9683019.

It is an arithmetic number, because the mean of its divisors is an integer number (2575670195840).

Almost surely, 244153621441340 is an apocalyptic number.

It is an amenable number.

44153621441340 is an abundant number, since it is smaller than the sum of its proper divisors (79478547958980).

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

44153621441340 is a wasteful number, since it uses less digits than its factorization.

44153621441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12079562 (or 12079560 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 44153621441340 in words is "forty-four trillion, one hundred fifty-three billion, six hundred twenty-one million, four hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61231 122462 183693 244924 306155 367386 612310 734772 918465 1224620 1836930 3673860 12018319 24036638 36054957 48073276 60091595 72109914 120183190 144219828 180274785 240366380 360549570 721099140 735893690689 1471787381378 2207681072067 2943574762756 3679468453445 4415362144134 7358936906890 8830724288268 11038405360335 14717873813780 22076810720670 44153621441340