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1425084240200 = 2352411277136093
BaseRepresentation
bin10100101111001101101…
…000111101000101001000
312001020101120102020010012
4110233031220331011020
5141322033031141300
63010401421011052
7204646626114455
oct24571550750510
95036346366105
101425084240200
114aa4139a1215
121b02359b3a88
13a450072675a
144cd8dc4082c
152710a422435
hex14bcda3d148

1425084240200 has 96 divisors (see below), whose sum is σ = 3396816417960. Its totient is φ = 555690854400.

The previous prime is 1425084240193. The next prime is 1425084240221. The reversal of 1425084240200 is 20424805241.

It can be written as a sum of positive squares in 12 ways, for example, as 11596274596 + 1413487965604 = 107686^2 + 1188902^2 .

It is a super-2 number, since 2×14250842402002 (a number of 25 digits) contains 22 as substring.

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, 10403354 + ... + 10539446.

Almost surely, 21425084240200 is an apocalyptic number.

1425084240200 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 1425084240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698408208980).

1425084240200 is an abundant number, since it is smaller than the sum of its proper divisors (1971732177760).

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

1425084240200 is a wasteful number, since it uses less digits than its factorization.

1425084240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137427 (or 137418 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The spelling of 1425084240200 in words is "one trillion, four hundred twenty-five billion, eighty-four million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1277 1640 2050 2554 4100 5108 6385 8200 10216 12770 25540 31925 51080 52357 63850 104714 127700 136093 209428 255400 261785 272186 418856 523570 544372 680465 1047140 1088744 1308925 1360930 2094280 2617850 2721860 3402325 5235700 5443720 5579813 6804650 10471400 11159626 13609300 22319252 27218600 27899065 44638504 55798130 111596260 139495325 173790761 223192520 278990650 347581522 557981300 695163044 868953805 1115962600 1390326088 1737907610 3475815220 4344769025 6951630440 7125421201 8689538050 14250842402 17379076100 28501684804 34758152200 35627106005 57003369608 71254212010 142508424020 178135530025 285016848040 356271060050 712542120100 1425084240200