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541322252043412 = 227233892913774161
BaseRepresentation
bin111101100010101000110100…
…0100010101100010010010100
32121222122220100111000001000011
41323011101220202230102110
51031423010433010342122
65155144002020130004
7222010146016114210
oct17305215042542224
92558586314001004
10541322252043412
11147533529044654
1250867a66b36904
131a308614184378
1497961cb50d940
15428b079d58377
hex1ec54688ac494

541322252043412 has 96 divisors (see below), whose sum is σ = 1132674303720960. Its totient is φ = 221327461048320.

The previous prime is 541322252043403. The next prime is 541322252043439. The reversal of 541322252043412 is 214340252223145.

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, 7299247612 + ... + 7299321772.

It is an arithmetic number, because the mean of its divisors is an integer number (11798690663760).

Almost surely, 2541322252043412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541322252043412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566337151860480).

541322252043412 is an abundant number, since it is smaller than the sum of its proper divisors (591352051677548).

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

541322252043412 is a wasteful number, since it uses less digits than its factorization.

541322252043412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103721 (or 103719 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 541322252043412 in words is "five hundred forty-one trillion, three hundred twenty-two billion, two hundred fifty-two million, forty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 389 644 778 1556 2723 5446 8947 10892 17894 29137 35788 58274 62629 74161 116548 125258 148322 203959 250516 296644 407918 519127 670151 815836 1038254 1340302 1705703 2076508 2680604 3411406 4691057 6822812 9382114 11334293 11939921 18764228 22668586 23879842 28848629 45337172 47759684 57697258 79340051 115394516 158680102 201940403 260688739 317360204 403880806 521377478 663518467 807761612 1042754956 1327036934 1824821173 2160829057 2654073868 3649642346 4321658114 4644629269 7299284692 8643316228 9289258538 15125803399 18578517076 30251606798 49699068311 60503213596 99398136622 198796273244 347893478177 695786956354 840562503173 1391573912708 1681125006346 3362250012692 5883937522211 11767875044422 19332937572979 23535750088844 38665875145958 77331750291916 135330563010853 270661126021706 541322252043412