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1441161900 = 2232524993209
BaseRepresentation
bin101010111100110…
…0110001010101100
310201102210121110200
41111321212022230
510422414140100
6355001033500
750466450123
oct12571461254
93642717420
101441161900
1167a5532a2
12342785890
1319c761129
14d9588aba
15867c5e00
hex55e662ac

1441161900 has 108 divisors (see below), whose sum is σ = 4527705000. Its totient is φ = 383420160.

The previous prime is 1441161881. The next prime is 1441161919. The reversal of 1441161900 is 91611441.

1441161900 is a `hidden beast` number, since 1 + 4 + 41 + 1 + 619 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1441161881) and next prime (1441161919).

It is a super-2 number, since 2×14411619002 = 4153895244023220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447496 + ... + 450704.

Almost surely, 21441161900 is an apocalyptic number.

1441161900 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 1441161900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263852500).

1441161900 is an abundant number, since it is smaller than the sum of its proper divisors (3086543100).

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

1441161900 is a wasteful number, since it uses less digits than its factorization.

1441161900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1441161900 is about 37962.6382117998. The cubic root of 1441161900 is about 1129.5468723843.

The spelling of 1441161900 in words is "one billion, four hundred forty-one million, one hundred sixty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 499 900 998 1497 1996 2495 2994 3209 4491 4990 5988 6418 7485 8982 9627 9980 12475 12836 14970 16045 17964 19254 22455 24950 28881 29940 32090 37425 38508 44910 48135 49900 57762 64180 74850 80225 89820 96270 112275 115524 144405 149700 160450 192540 224550 240675 288810 320900 449100 481350 577620 722025 962700 1444050 1601291 2888100 3202582 4803873 6405164 8006455 9607746 14411619 16012910 19215492 24019365 28823238 32025820 40032275 48038730 57646476 72058095 80064550 96077460 120096825 144116190 160129100 240193650 288232380 360290475 480387300 720580950 1441161900