Search a number
-
+
1374350890400 = 255217319151991
BaseRepresentation
bin10011111111111101101…
…100100101010110100000
311212101102212200000200122
4103333331230211112200
5140004132311443100
62531211301135412
7201202460550605
oct23777554452640
94771385600618
101374350890400
1148a94a280654
121a24373ba568
139c7a6a6ba47
144a739d746ac
1525b3b4bd985
hex13ffdb255a0

1374350890400 has 144 divisors (see below), whose sum is σ = 3392260881408. Its totient is φ = 543690624000.

The previous prime is 1374350890379. The next prime is 1374350890411. The reversal of 1374350890400 is 40980534731.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26408405 + ... + 26460395.

It is an arithmetic number, because the mean of its divisors is an integer number (23557367232).

Almost surely, 21374350890400 is an apocalyptic number.

1374350890400 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 1374350890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696130440704).

1374350890400 is an abundant number, since it is smaller than the sum of its proper divisors (2017909991008).

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

1374350890400 is a wasteful number, since it uses less digits than its factorization.

1374350890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52375 (or 52362 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 1374350890400 in words is "one trillion, three hundred seventy-four billion, three hundred fifty million, eight hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 173 191 200 346 382 400 692 764 800 865 955 1384 1528 1730 1910 2768 3056 3460 3820 4325 4775 5536 6112 6920 7640 8650 9550 13840 15280 17300 19100 27680 30560 33043 34600 38200 51991 66086 69200 76400 103982 132172 138400 152800 165215 207964 259955 264344 330430 415928 519910 528688 660860 826075 831856 1039820 1057376 1299775 1321720 1652150 1663712 2079640 2599550 2643440 3304300 4159280 5199100 5286880 6608600 8318560 8994443 9930281 10398200 13217200 17988886 19860562 20796400 26434400 35977772 39721124 41592800 44972215 49651405 71955544 79442248 89944430 99302810 143911088 158884496 179888860 198605620 224861075 248257025 287822176 317768992 359777720 397211240 449722150 496514050 719555440 794422480 899444300 993028100 1439110880 1588844960 1717938613 1798888600 1986056200 3435877226 3597777200 3972112400 6871754452 7195554400 7944224800 8589693065 13743508904 17179386130 27487017808 34358772260 42948465325 54974035616 68717544520 85896930650 137435089040 171793861300 274870178080 343587722600 687175445200 1374350890400