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1022241423440 = 245234715117823
BaseRepresentation
bin11101110000000100101…
…01100100000001010000
310121201120202120210122202
432320002111210001100
5113222022301022230
62101340005222332
7133566044506106
oct16700225440120
93551522523582
101022241423440
113645916a7586
1214614a7019a8
1375521149523
14376962adc76
151b8ce182a45
hexee02564050

1022241423440 has 160 divisors (see below), whose sum is σ = 2534813761536. Its totient is φ = 382494548480.

The previous prime is 1022241423421. The next prime is 1022241423461. The reversal of 1022241423440 is 443241422201.

It is a happy number.

It is a congruent number.

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, 130667369 + ... + 130675191.

Almost surely, 21022241423440 is an apocalyptic number.

1022241423440 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 1022241423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267406880768).

1022241423440 is an abundant number, since it is smaller than the sum of its proper divisors (1512572338096).

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

1022241423440 is a wasteful number, since it uses less digits than its factorization.

1022241423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9417 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 1022241423440 its reverse (443241422201), we get a palindrome (1465482845641).

The spelling of 1022241423440 in words is "one trillion, twenty-two billion, two hundred forty-one million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1511 1840 1880 2162 3022 3760 4324 5405 6044 7555 7823 8648 10810 12088 15110 15646 17296 21620 24176 30220 31292 34753 39115 43240 60440 62584 69506 71017 78230 86480 120880 125168 139012 142034 156460 173765 179929 278024 284068 312920 347530 355085 359858 367681 556048 568136 625840 695060 710170 719716 735362 899645 1136272 1390120 1420340 1439432 1470724 1633391 1799290 1838405 2780240 2840680 2878864 2941448 3266782 3598580 3676810 5681360 5882896 6533564 7197160 7353620 8166955 8456663 11820553 13067128 14394320 14707240 16333910 16913326 23641106 26134256 29414480 32667820 33826652 42283315 47282212 59102765 65335640 67653304 84566630 94564424 118205530 130671280 135306608 169133260 189128848 236411060 271872719 338266520 472822120 543745438 555565991 676533040 945644240 1087490876 1111131982 1359363595 2174981752 2222263964 2718727190 2777829955 4349963504 4444527928 5437454380 5555659910 8889055856 10874908760 11111319820 12778017793 21749817520 22222639640 25556035586 44445279280 51112071172 63890088965 102224142344 127780177930 204448284688 255560355860 511120711720 1022241423440