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1341401120940 = 2235113509388697
BaseRepresentation
bin10011100001010001101…
…111001100000010101100
311202020101112212022022210
4103201101233030002230
5133434142141332230
62504121533210420
7165625112254026
oct23412157140254
94666345768283
101341401120940
11477980a65121
12197b80630a10
139965552b73a
1448cd1c7b016
1524d5d923eb0
hex13851bcc0ac

1341401120940 has 96 divisors (see below), whose sum is σ = 3796615488960. Its totient is φ = 353843961856.

The previous prime is 1341401120897. The next prime is 1341401120957. The reversal of 1341401120940 is 490211041431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1341401120898 and 1341401120907.

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, 3256672 + ... + 3645368.

It is an arithmetic number, because the mean of its divisors is an integer number (39548078010).

Almost surely, 21341401120940 is an apocalyptic number.

1341401120940 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 1341401120940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898307744480).

1341401120940 is an abundant number, since it is smaller than the sum of its proper divisors (2455214368020).

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

1341401120940 is a wasteful number, since it uses less digits than its factorization.

1341401120940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389331 (or 389329 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1341401120940 in words is "one trillion, three hundred forty-one billion, four hundred one million, one hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 509 565 678 1018 1130 1356 1527 1695 2036 2260 2545 3054 3390 5090 6108 6780 7635 10180 15270 30540 57517 115034 172551 230068 287585 345102 388697 575170 690204 777394 862755 1150340 1166091 1554788 1725510 1943485 2332182 3451020 3886970 4664364 5830455 7773940 11660910 23321820 43922761 87845522 131768283 175691044 197846773 219613805 263536566 395693546 439227610 527073132 593540319 658841415 791387092 878455220 989233865 1187080638 1317682830 1978467730 2374161276 2635365660 2967701595 3956935460 5935403190 11870806380 22356685349 44713370698 67070056047 89426741396 111783426745 134140112094 223566853490 268280224188 335350280235 447133706980 670700560470 1341401120940