Search a number
-
+
1420027172720 = 2451317197407707
BaseRepresentation
bin10100101010100000001…
…101110001011101110000
312000202100010122120200122
4110222200031301131300
5141231203424011340
63004203530305412
7204410411545502
oct24524015613560
95022303576618
101420027172720
114a8259356602
121ab264288268
13a3ba5b06930
144ca30365d72
1526e11496db5
hex14aa0371770

1420027172720 has 160 divisors (see below), whose sum is σ = 3783797696448. Its totient is φ = 490969350144.

The previous prime is 1420027172713. The next prime is 1420027172779. The reversal of 1420027172720 is 272717200241.

It is a congruent number.

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, 3279107 + ... + 3686813.

Almost surely, 21420027172720 is an apocalyptic number.

1420027172720 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 1420027172720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891898848224).

1420027172720 is an abundant number, since it is smaller than the sum of its proper divisors (2363770523728).

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

1420027172720 is a wasteful number, since it uses less digits than its factorization.

1420027172720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407947 (or 407941 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The spelling of 1420027172720 in words is "one trillion, four hundred twenty billion, twenty-seven million, one hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 197 208 221 260 272 340 394 442 520 680 788 884 985 1040 1105 1360 1576 1768 1970 2210 2561 3152 3349 3536 3940 4420 5122 6698 7880 8840 10244 12805 13396 15760 16745 17680 20488 25610 26792 33490 40976 43537 51220 53584 66980 87074 102440 133960 174148 204880 217685 267920 348296 407707 435370 696592 815414 870740 1630828 1741480 2038535 3261656 3482960 4077070 5300191 6523312 6931019 8154140 10600382 13862038 16308280 21200764 26500955 27724076 32616560 34655095 42401528 53001910 55448152 69310190 80318279 84803056 90103247 106003820 110896304 138620380 160636558 180206494 212007640 277240760 321273116 360412988 401591395 424015280 450516235 554481520 642546232 720825976 803182790 901032470 1044137627 1285092464 1365410743 1441651952 1606365580 1802064940 2088275254 2730821486 3212731160 3604129880 4176550508 5220688135 5461642972 6425462320 6827053715 7208259760 8353101016 10441376270 10923285944 13654107430 16706202032 17750339659 20882752540 21846571888 27308214860 35500679318 41765505080 54616429720 71001358636 83531010160 88751698295 109232859440 142002717272 177503396590 284005434544 355006793180 710013586360 1420027172720