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14141511240 = 23351576411171
BaseRepresentation
bin11010010101110011…
…00101011001001000
31100111112202012111120
431022321211121020
5212430211324430
610255125355240
71010303601513
oct151271453110
940445665446
1014141511240
115aa757277a
1228a7b68b20
131444a2803c
149821d1d7a
1557b787610
hex34ae65648

14141511240 has 128 divisors (see below), whose sum is σ = 42797877120. Its totient is φ = 3738009600.

The previous prime is 14141511239. The next prime is 14141511253. The reversal of 14141511240 is 4211514141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14141511240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12075855 + ... + 12077025.

It is an arithmetic number, because the mean of its divisors is an integer number (334358415).

Almost surely, 214141511240 is an apocalyptic number.

14141511240 is a gapful number since it is divisible by the number (10) 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 14141511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398938560).

14141511240 is an abundant number, since it is smaller than the sum of its proper divisors (28656365880).

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

14141511240 is a wasteful number, since it uses less digits than its factorization.

14141511240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 14141511240 in words is "fourteen billion, one hundred forty-one million, five hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 641 785 942 1171 1256 1282 1570 1884 1923 2342 2355 2564 3140 3205 3513 3768 3846 4684 4710 5128 5855 6280 6410 7026 7692 9368 9420 9615 11710 12820 14052 15384 17565 18840 19230 23420 25640 28104 35130 38460 46840 70260 76920 100637 140520 183847 201274 301911 367694 402548 503185 551541 603822 735388 750611 805096 919235 1006370 1103082 1207644 1470776 1501222 1509555 1838470 2012740 2206164 2251833 2415288 2757705 3002444 3019110 3676940 3753055 4025480 4412328 4503666 5515410 6004888 6038220 7353880 7506110 9007332 11030820 11259165 12076440 15012220 18014664 22061640 22518330 30024440 45036660 90073320 117845927 235691854 353537781 471383708 589229635 707075562 942767416 1178459270 1414151124 1767688905 2356918540 2828302248 3535377810 4713837080 7070755620 14141511240