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49145434240 = 275735930557
BaseRepresentation
bin101101110001010010…
…111101000010000000
311200212000210201210011
4231301102331002000
51301122212343430
634324353114304
73356604204250
oct556122750200
9150760721704
1049145434240
111992a353161
129636858994
1348329c3506
14254303d960
15142984022a
hexb714bd080

49145434240 has 128 divisors (see below), whose sum is σ = 134650771200. Its totient is φ = 16802377728.

The previous prime is 49145434237. The next prime is 49145434241. The reversal of 49145434240 is 4243454194.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 49145434193 and 49145434202.

It is not an unprimeable number, because it can be changed into a prime (49145434241) 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, 1593042 + ... + 1623598.

It is an arithmetic number, because the mean of its divisors is an integer number (1051959150).

Almost surely, 249145434240 is an apocalyptic number.

49145434240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49145434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67325385600).

49145434240 is an abundant number, since it is smaller than the sum of its proper divisors (85505336960).

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

49145434240 is a wasteful number, since it uses less digits than its factorization.

49145434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30942 (or 30930 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 49145434240 in words is "forty-nine billion, one hundred forty-five million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 359 448 560 640 718 896 1120 1436 1795 2240 2513 2872 3590 4480 5026 5744 7180 10052 11488 12565 14360 20104 22976 25130 28720 30557 40208 45952 50260 57440 61114 80416 100520 114880 122228 152785 160832 201040 213899 229760 244456 305570 321664 402080 427798 488912 611140 804160 855596 977824 1069495 1222280 1608320 1711192 1955648 2138990 2444560 3422384 3911296 4277980 4889120 6844768 8555960 9778240 10969963 13689536 17111920 19556480 21939926 27379072 34223840 43879852 54849815 68447680 76789741 87759704 109699630 136895360 153579482 175519408 219399260 307158964 351038816 383948705 438798520 614317928 702077632 767897410 877597040 1228635856 1404155264 1535794820 1755194080 2457271712 3071589640 3510388160 4914543424 6143179280 7020776320 9829086848 12286358560 24572717120 49145434240