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1120819047400 = 2352131721491641
BaseRepresentation
bin10000010011110110000…
…001010110101111101000
310222011000210202221210101
4100103312001112233220
5121330414134004100
62214521441555144
7143655640465513
oct20236601265750
93864023687711
101120819047400
113a2378150498
12161280045ab4
1381901074730
143c368475d7a
151e24d5a786a
hex104f6056be8

1120819047400 has 144 divisors (see below), whose sum is σ = 2981150951940. Its totient is φ = 389497036800.

The previous prime is 1120819047353. The next prime is 1120819047431. The reversal of 1120819047400 is 47409180211.

It can be written as a sum of positive squares in 18 ways, for example, as 36834054084 + 1083984993316 = 191922^2 + 1041146^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1120819047400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5580 + ... + 1497220.

Almost surely, 21120819047400 is an apocalyptic number.

1120819047400 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 1120819047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490575475970).

1120819047400 is an abundant number, since it is smaller than the sum of its proper divisors (1860331904540).

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

1120819047400 is a wasteful number, since it uses less digits than its factorization.

1120819047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491704 (or 1491678 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 1120819047400 in words is "one trillion, one hundred twenty billion, eight hundred nineteen million, forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 289 325 340 425 442 520 578 650 680 850 884 1105 1156 1300 1445 1700 1768 2210 2312 2600 2890 3400 3757 4420 5525 5780 7225 7514 8840 11050 11560 14450 15028 18785 22100 28900 30056 37570 44200 57800 75140 93925 150280 187850 375700 751400 1491641 2983282 5966564 7458205 11933128 14916410 19391333 25357897 29832820 37291025 38782666 50715794 59665640 74582050 77565332 96956665 101431588 126789485 149164100 155130664 193913330 202863176 253578970 298328200 329652661 387826660 431084249 484783325 507157940 633947425 659305322 775653320 862168498 969566650 1014315880 1267894850 1318610644 1648263305 1724336996 1939133300 2155421245 2535789700 2637221288 3296526610 3448673992 3878266600 4310842490 5071579400 5604095237 6593053220 8241316525 8621684980 10777106225 11208190474 13186106440 16482633050 17243369960 21554212450 22416380948 28020476185 32965266100 43108424900 44832761896 56040952370 65930532200 86216849800 112081904740 140102380925 224163809480 280204761850 560409523700 1120819047400