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2114550010240 = 27517373521051
BaseRepresentation
bin11110110001010101000…
…000001001000110000000
321111011000121220021222221
4132301111000021012000
5234121044300311430
64255224425140424
7305525343345343
oct36612500110600
97434017807887
102114550010240
11745859399a38
122a199262a714
1312452a5c7a15
14744b807a45a
153a00e79157a
hex1ec55009180

2114550010240 has 128 divisors (see below), whose sum is σ = 5366814757920. Its totient is φ = 793930137600.

The previous prime is 2114550010211. The next prime is 2114550010247. The reversal of 2114550010240 is 420100554112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114550010247) 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, 3797715 + ... + 4318765.

Almost surely, 22114550010240 is an apocalyptic number.

2114550010240 is a gapful number since it is divisible by the number (20) 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 2114550010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683407378960).

2114550010240 is an abundant number, since it is smaller than the sum of its proper divisors (3252264747680).

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

2114550010240 is a wasteful number, since it uses less digits than its factorization.

2114550010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521460 (or 521448 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 2114550010240 its reverse (420100554112), we get a palindrome (2534650564352).

The spelling of 2114550010240 in words is "two trillion, one hundred fourteen billion, five hundred fifty million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 373 544 640 680 746 1088 1360 1492 1865 2176 2720 2984 3730 5440 5968 6341 7460 10880 11936 12682 14920 23872 25364 29840 31705 47744 50728 59680 63410 101456 119360 126820 202912 238720 253640 405824 507280 521051 811648 1014560 1042102 2029120 2084204 2605255 4058240 4168408 5210510 8336816 8857867 10421020 16673632 17715734 20842040 33347264 35431468 41684080 44289335 66694528 70862936 83368160 88578670 141725872 166736320 177157340 194352023 283451744 333472640 354314680 388704046 566903488 708629360 777408092 971760115 1133806976 1417258720 1554816184 1943520230 2834517440 3109632368 3303984391 3887040460 5669034880 6219264736 6607968782 7774080920 12438529472 13215937564 15548161840 16519921955 24877058944 26431875128 31096323680 33039843910 52863750256 62192647360 66079687820 105727500512 124385294720 132159375640 211455001024 264318751280 422910002048 528637502560 1057275005120 2114550010240