Search a number
-
+
14130132015440 = 2457337195138377
BaseRepresentation
bin1100110110011110110101…
…1111111101100101010000
31212000211100012021021112002
43031213231133331211100
53323002002243443230
650015143143453132
72655603562261430
oct315475537754520
955024305237462
1014130132015440
114558612172991
1217026207571a8
137b660929b70c
1436bc8b2a02c0
1519785563c545
hexcd9ed7fd950

14130132015440 has 160 divisors (see below), whose sum is σ = 37677474392064. Its totient is φ = 4827639398400.

The previous prime is 14130132015437. The next prime is 14130132015463. The reversal of 14130132015440 is 4451023103141.

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, 368173532 + ... + 368211908.

Almost surely, 214130132015440 is an apocalyptic number.

14130132015440 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 14130132015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838737196032).

14130132015440 is an abundant number, since it is smaller than the sum of its proper divisors (23547342376624).

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

14130132015440 is a wasteful number, since it uses less digits than its factorization.

14130132015440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40685 (or 40679 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 14130132015440 its reverse (4451023103141), we get a palindrome (18581155118581).

The spelling of 14130132015440 in words is "fourteen trillion, one hundred thirty billion, one hundred thirty-two million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 337 560 674 1348 1685 1951 2359 2696 3370 3902 4718 5392 6740 7804 9436 9755 11795 13480 13657 15608 18872 19510 23590 26960 27314 31216 37744 38377 39020 47180 54628 68285 76754 78040 94360 109256 136570 153508 156080 188720 191885 218512 268639 273140 307016 383770 537278 546280 614032 657487 767540 1074556 1092560 1314974 1343195 1535080 2149112 2629948 2686390 3070160 3287435 4298224 4602409 5259896 5372780 6574870 9204818 10519792 10745560 12933049 13149740 18409636 21491120 23012045 25866098 26299480 36819272 46024090 51732196 52598960 64665245 73638544 74873527 90531343 92048180 103464392 129330490 149747054 181062686 184096360 206928784 258660980 299494108 362125372 368192720 374367635 452656715 517321960 524114689 598988216 724250744 748735270 905313430 1034643920 1048229378 1197976432 1448501488 1497470540 1810626860 2096458756 2620573445 2994941080 3621253720 4192917512 5241146890 5989882160 7242507440 8385835024 10482293780 20964587560 25232378599 41929175120 50464757198 100929514396 126161892995 176626650193 201859028792 252323785990 353253300386 403718057584 504647571980 706506600772 883133250965 1009295143960 1413013201544 1766266501930 2018590287920 2826026403088 3532533003860 7065066007720 14130132015440